### MT Regular Chronology (“430 years in Egypt”)

**Note: The Sigma Value is more accurate than the P-value.**

Also, see Accumulative Age Probability Analysis in Biblical Chronologies, highlighting 460 years.

Part 1: Statistical Analysis of All Dates Given in MT from Terah to Joshua

Part 2: Statistical Analysis of Key Events in the Jacob-Levi Era in MT, LXX, SP, and Cumulative

*Note: The Sigma Value is more accurate than the P-value.*

The following detailed probability analysis using GPT-4 is tailored explicitly for this study and rigorously verified. For comprehensive details on the analysis methodology and statistical approaches, refer to the introductory section of the **Accumulative Chronology from Adam to Moses**.

This analysis focuses on the sequences from Adam to Aaron/Moses, as detailed in the above Chronology Chart. Each sequence correlates with specific births within this timeline.

An important note: Terah’s additional 60 years are not included in this analysis. While the Bible (Masoretic Text) does not explicitly mention these years, implied in Acts 7 by Stephen, their inclusion does not align with our focus on multiples of 23 (or 46). Including +60 disrupts the flow of multiples of 46.

In the biblical chronology, the Masoretic Text (MT) says that the Israelites spent 430 years in Egypt. Contrastingly, the Samaritan Pentateuch (SP) and the New Testament (NT) indicate only 215 years. This variance, when aligned with the MT dates, reveals further instances of multiples of 46 during the Egyptian sojourn. For example, the 123 years of Aaron’s life, when combined with two 46-year intervals, correspond to 215 years. Or from the birth of Terah to the death of his son, Abraham, are 5×49, but overlaying the +215 = 460. However, we keep to the MT in this analysis.

#### Constrained by the birth motif

In our study, we’ve used the births of patriarchs as the constraints for the statistical analysis. Unless otherwise said, the pivotal events of the Flood, Exodus, and Conquest are included because the narrative presents them as the earth’s rebirth and Israel as a nation. The Creation and the Exodus are vital in understanding the statistical significance of the number 46. Therefore, unless specified otherwise, the Flood, the Exodus, and the Conquest are included alongside the births of the 26 patriarchs. (Kohath and Amaram are excluded because no definite birth dates are given.)

Joseph is partly included in the analysis due to his integral role in the redemption narrative. The many events of his life can all be dated, thereby highlighting the importance of his birth date. However, the primary focus of the study is on the genealogical line from Adam to Aaron/Moses, as presented in Genesis.

The Bible emphasizes the conceptions of Seth, Isaac, Jacob, and Jacob’s sons, indicating the importance of conception. This significance is further accentuated by the total of 360 days comprising 280 days of gestation and the subsequent “40 days of cleansing” for a male child and “80 days for a female child.” While these specific durations are not included in the main statistical analysis, their potential inclusion could further validate the importance of the multiples of 46 (or 23) in the biblical chronology.

In this analysis, a key example is the conception of Enoch, occurring 23x3x3x3 years from Adam, which mirrors Isaac’s conception, also 23x3x3x3 years to the Exodus. This symmetry creates a pattern similar to bookends. As explained in “The Key of 23,” 69 solar years correspond to 70 years of 360 days each. Thus, a period of (69x3x3) years on each side of the Exodus totals 1260 years from Creation to the Exodus, with a central gap of 46×31: (621=630) GAP (621=630). This includes a 15-day remainder, aligned with Passover at the Exodus. The year of Isaac’s conception, coinciding with the destruction of Sodom, adds a thematic layer of world destruction, prefigured in both Sodom and Egypt.

“Bookends” signal the start and end of an epoch. For example, the “120 years” of Noah to the Flood parallels the “120 years” that Moses lived, who died at the Conquest, and the 600 years from Noah’s birth to the Flood corresponds to the 600 years from Jacob’s birth to the Conquest: (480+120) GAP (480+120). This is combined with the 930 years that Adam lived post Creation to the 930 years after the new Creation post-Flood, to Moses’s birth when placed in a small “ark” upon the Nile, Ex. 2:3.

The period from Noah to Abraham presents another bookend pattern, linking a 100-year “generation” from Shem to the Flood with Abraham to Isaac and the destruction of Sodom: 100 GAP 100, a total of 490 including the gap.

“Bookends” can also be subtle: Terah’s extra 60 years form a bracket: Adam to Seth and Terah to Abraham are each 130 years (and recall the “460” to Abraham’s death referred to earlier, with the 460 of Adam to Jarod). In Hebraic thought, an epoch missing its corresponding bookend represents chaos, contrasting with the orderly pattern seen in the 3+3 days of forming and filling during Creation. The same is true of the Flood narrative. This concept continues with the United Kingdom of Saul, David, and Solomon, each lasting 40 years, mirroring the 40+40+40-year phases of Moses’ life.

Our discussion on bookends aimed to highlight the significance of ‘conception’ as well as birth in Biblical Chronology, illustrated from Creation to Enoch and Isaac to Exodus, six generations each—23x3x3x3 years. However, our statistical analysis ignores conception just as we ignore the LXX, which puts Creation at 5494 BC, precisely 460×3 from the MT Creation in 4114 BC, and 1656 (46x6x6) to Noah’s birth rather than the Flood like the MT, or to Noah’s death like the SP.

In the following analysis, each sequence is named based on where a minor change was made in keeping with the constraints of births. Shem is the most extreme case due to his well-known two-year anomaly at birth. The bar graph illustrates one way of accounting for these two years, while the sequences below typically present the alternative approach. The statistical differences between these approaches are not substantial. However, the analysis encompasses about 20 variations, providing readers with a comprehensive understanding of the general probabilities associated with multiples of 46.

In this analysis, our primary focus is on the multiples of 46. However, in the first sequence, we broaden the scope to include multiples ranging from 4 to 200 (using Excel), allowing readers to compare the significance of 46 against other target multiples. This comparison provides context to gauge the overall prominence of 46. As evidenced in the analysis, aside from the expected round numbers 5 and 10, which align with the nature of Biblical Chronology (as detailed in Sequence 11), the number 46 stands out for its unique statistical significance.

The sequences are organized, beginning with those holding the highest statistical significance and proceeding in descending order. The first and second sequences include actual dates, clearly demonstrating their alignment with the sequence. The remaining sequences, which are quite similar, can be easily interpreted using the chart above.

Readers are encouraged to consult the Conclusion of the Probability Analysis at the end of this document for a comprehensive discussion and interpretation of these findings.

For **“Sequence 1,” labeled “Shem’s brothers; Flood Yr; Joseph; Tabernacle,” I will reanalyze it for multiples of 46, noting that it repeats** an earlier sequence but now with a specific label. I will provide the results, including the total number of possible sums.

### Probability Analysis

**Contiguous Sequence Analysis**: The sequence is `[130, 105, 90, 70, 65, 162, 65, 187, 182, 2, 498, 2, 98, 1, 1, 35, 30, 34, 30, 32, 30, 29, 70, 100, 60, 91, 386, 3, 80, 1, 39]`

.

- 4114 BC – 130 = 3984 BC (Adam-Seth)
- 3984 BC – 105 = 3879 BC (Seth-Enosh)
- 3879 BC – 90 = 3789 BC (Enosh-Kenan)
- 3789 BC – 70 = 3719 BC (Kenan- Mahalaleel)
- 3719 BC – 65 = 3654 BC (Mahalaleel-Jarod)
- 3654 BC – 162 = 3492 BC (Jarod-Enoch)
- 3492 BC – 65 = 3427 BC (Enoch-Methuselah)
- 3427 BC – 187 = 3240 BC (Methuselah-Lamech)
- 3240 BC – 182 = 3058 BC (Lamech-Noah)
- 3058 BC – 2 = 3056 BC (Lamech-Noah)
- 3056 BC – 498 = 2558 BC (Noah-Japheth/Shem)
- 2558 BC – 2 = 2556 BC (Japheth-Shem)
- 2556 BC – 98 = 2458 BC (Shem-Flood)
- 2458 BC – 1 = 2457 BC (Flood-Leave Ark)
- 2457 BC – 1 = 2456 BC (Leave Ark-Arphaxad)
- 2456 BC – 35 = 2421 BC (Arphaxad-Shelah)
- 2421 BC – 30 = 2391 BC (Shelah-Eber)
- 2391 BC – 34 = 2357 BC (Eber-Peleg)
- 2357 BC – 30 = 2327 BC (Peleg-Reu)
- 2327 BC – 32 = 2295 BC (Reu-Serug)
- 2295 BC – 30 = 2265 BC (Serug-Nahor)
- 2265 BC – 29 = 2236 BC (Nahor-Terah)
- 2236 BC – 70 = 2166 BC (Terah-Abraham)
- 2166 BC – 100 = 2066 BC (Abraham-Isaac)
- 2066 BC – 60 = 2006 BC (Isaac-Jacob)
- 2006 BC – 91 = 1915 BC (Jacob-Joseph)
- 1915 BC – 386 = 1529 BC (Joseph-Aaron)
- 1529 BC – 3 = 1526 BC (Aaron-Moses)
- 1526 BC – 80 = 1446 BC (Moses-Exodus)
- 1446 BC – 1 = 1445 BC (Exodus-Tabernacle)
- 1445 BC – 39 = 1406 BC (Tabernacle-Conquest)

This should now be accurate, reflecting the corrected sequence.

Now, let’s proceed with the calculations for “Sequence 1”.

Here are the results of the probability analysis for the target multiples of 46 in “Sequence 1” labeled “Shem’s brothers; Flood Yr; Joseph; Tabernacle”:

### Probability Analysis Results for “Sequence 1”

**Min Sum**: The smallest element in Sequence 1 is (1).**Max Sum**: The sum of all elements in Sequence 1 is (2708).**Total Sums**: The total number of unique sums that can be formed from consecutive elements in Sequence 1 is (496).**Observed Frequency**: Out of these sums, (28) are multiples of 46.**Probability**: The probability of a random sum being a multiple of 46 is approximately (0.02142).**Expected Frequency**: The expected frequency of sums that are multiples of 46 is about (10.62).**Z-Score (Sigma)**: The Z-Score calculated is approximately (5.39).**P-Value**: The p-value is approximately (3.54 \times 10^{-8}), indicating a very low probability of the observed frequency occurring by chance.**‘1 in …’ Format**: This translates to a ‘1 in 28,285,006’ chance, illustrating the rarity of the observed frequency occurring randomly.

This analysis suggests that the observed frequency of sums being multiples of 46 in “Sequence 1” labeled “Shem’s brothers; Flood Yr; Joseph; Tabernacle” is significantly higher than what would be expected by chance, as indicated by the high Z-score and extremely low p-value.

For **“Sequence 2”** labeled “Shem’s brothers; Flood Yr; Levi/Joseph; Joshua; Tabernacle”, I will analyze it for multiples of 46, identify any changes from the previous sequences, and provide the results, including the total number of possible sums.

### Probability Analysis “Sequence 2”

**Contiguous Sequence Analysis**: The sequence is`[130, 105, 90, 70, 65, 162, 65, 187, 182, 2, 498, 2, 98, 1, 1, 35, 30, 34, 30, 32, 30, 29, 70, 100, 60, 87, 4, 386, 3, 50, 30, 1, 39]`

.

- 4114 BC – 130 = 3984 BC (Adam-Seth)
- 3984 BC – 105 = 3879 BC (Seth-Enosh)
- 3879 BC – 90 = 3789 BC (Enosh-Kenan)
- 3789 BC – 70 = 3719 BC (Kenan- Mahalaleel)
- 3719 BC – 65 = 3654 BC (Mahalaleel-Jarod)
- 3654 BC – 162 = 3492 BC (Jarod-Enoch)
- 3492 BC – 65 = 3427 BC (Enoch-Methuselah)
- 3427 BC – 187 = 3240 BC (Methuselah-Lamech)
- 3240 BC – 182 = 3058 BC (Lamech-Noah)
- 3058 BC – 2 = 3056 BC (Lamech-Noah)
- 3056 BC – 498 = 2558 BC (Noah-Japheth/Shem)
- 2558 BC – 2 = 2556 BC (Japheth-Shem)
- 2556 BC – 98 = 2458 BC (Shem-Flood)
- 2458 BC – 1 = 2457 BC (Flood-Leave Ark)
- 2457 BC – 1 = 2456 BC (Leave Ark-Arphaxad)
- 2456 BC – 35 = 2421 BC (Arphaxad-Shelah)
- 2421 BC – 30 = 2391 BC (Shelah-Eber)
- 2391 BC – 34 = 2357 BC (Eber-Peleg)
- 2357 BC – 30 = 2327 BC (Peleg-Reu)
- 2327 BC – 32 = 2295 BC (Reu-Serug)
- 2295 BC – 30 = 2265 BC (Serug-Nahor)
- 2265 BC – 29 = 2236 BC (Nahor-Terah)
- 2236 BC – 70 = 2166 BC (Terah-Abraham)
- 2166 BC – 100 = 2066 BC (Abraham-Isaac)
- 2066 BC – 60 = 2006 BC (Isaac-Jacob)
- 2006 BC – 87 = 1919 BC (Jacob-Levi)
- 1919 BC – 4 = 1915 BC (Levi-Joseph)
- 1915 BC – 386 = 1529 BC (Joseph-Aaron)
- 1529 BC – 3 = 1526 BC (Aaron-Moses)
- 1526 BC – 50 = 1476 BC (Moses-Joshua)
- 1476 BC – 30 = 1446 BC (Joshua-Exodus)
- 1446 BC – 1 = 1445 BC (Exodus-Tabernacle)
- 1445 BC – 39 = 1406 BC (Tabernacle-Conquest)

Now, let’s proceed with the calculations for “Sequence 2”.

Here are the results of the probability analysis for the target multiples of 46 in “Sequence 2” labeled “Shem’s brothers; Flood Yr; Levi/Joseph; Joshua; Tabernacle”:

### Probability Analysis Results for “Sequence 2”

**Min Sum**: The smallest element in Sequence 2 is (1).**Max Sum**: The sum of all elements in Sequence 2 is (2708).**Total Sums**: The total number of unique sums that can be formed from consecutive elements in Sequence 2 is (561).**Observed Frequency**: Out of these sums, (29) are multiples of 46.**Probability**: The probability of a random sum being a multiple of 46 is approximately (0.02142).**Expected Frequency**: The expected frequency of sums that are multiples of 46 is about (12.02).**Z-Score (Sigma)**: The Z-Score calculated is approximately (4.95).**P-Value**: The p-value is approximately (3.65 \times 10^{-7}), indicating a very low probability of the observed frequency occurring by chance.**‘1 in …’ Format**: This translates to a ‘1 in 2,739,129’ chance, illustrating the rarity of the observed frequency occurring randomly.

This analysis suggests that the observed frequency of sums being multiples of 46 in “Sequence 2” labeled “Shem’s brothers; Flood Yr; Levi/Joseph; Joshua; Tabernacle” is significantly higher than what would be expected by chance, as indicated by the high Z-score and extremely low p-value.

For “Sequence 3” labeled “Joseph; Aaron”, I will analyze it for multiples of 46, identify any changes from the previous sequence, and provide the results including the total number of possible sums.

### Changes in the Sequence

- The previous sequence’s elements (498, 1, 1, 4, 3, 50, 30, 1, 39) have been removed.
- The elements (500, 83, 40) have been added.
- These changes affect the total number of elements and the sum of the sequence.

I will now perform the probability analysis on this modified sequence labeled “Joseph; Aaron”.

### Probability Analysis “Sequence 3”

**Contiguous Sequence Analysis**: The sequence is`[130, 105, 90, 70, 65, 162, 65, 187, 182, 500, 2, 98, 2, 35, 30, 34, 30, 32, 30, 29, 70, 100, 60, 91, 386, 83, 40]`

.

- 4114 BC – 130 = 3984 BC (Adam-Seth)
- 3984 BC – 105 = 3879 BC (Seth-Enosh)
- 3879 BC – 90 = 3789 BC (Enosh-Kenan)
- 3789 BC – 70 = 3719 BC (Kenan- Mahalaleel)
- 3719 BC – 65 = 3654 BC (Mahalaleel-Jarod)
- 3654 BC – 162 = 3492 BC (Jarod-Enoch)
- 3492 BC – 65 = 3427 BC (Enoch-Methuselah)
- 3427 BC – 187 = 3240 BC (Methuselah-Lamech)
- 3240 BC – 182 = 3058 BC (Lamech-Noah)
- 3058 BC – 500 = 2558 BC (Noah-Japheth/Shem)
- 2558 BC – 2 = 2556 BC (Japheth-Shem)
- 2556 BC – 98 = 2458 BC (Shem-Flood)
- 2458 BC – 1 = 2457 BC (Flood-Leave Ark)
- 2457 BC – 1 = 2456 BC (Leave Ark-Arphaxad)
- 2456 BC – 35 = 2421 BC (Arphaxad-Shelah)
- 2421 BC – 30 = 2391 BC (Shelah-Eber)
- 2391 BC – 34 = 2357 BC (Eber-Peleg)
- 2357 BC – 30 = 2327 BC (Peleg-Reu)
- 2327 BC – 32 = 2295 BC (Reu-Serug)
- 2295 BC – 30 = 2265 BC (Serug-Nahor)
- 2265 BC – 29 = 2236 BC (Nahor-Terah)
- 2236 BC – 70 = 2166 BC (Terah-Abraham)
- 2166 BC – 100 = 2066 BC (Abraham-Isaac)
- 2066 BC – 60 = 2006 BC (Isaac-Jacob)
- 2006 BC – 91 = 1915 BC (Jacob-Joseph)
- 1915 BC – 386 = 1529 BC (Joseph-Aaron)
- 1529 BC – 83 = 1446 BC (Aaron-Exodus)
- 1446 BC – 40 = 1406 BC (Exodus-Conquest)

Let’s proceed with the calculations.

Here are the results of the probability analysis for the target multiples of 46 in “Sequence 3” labeled “Joseph; Aaron”, along with the identified changes:

### Changes in “Sequence 3”

- Removed: (498, 1, 1, 4, 3, 50, 30, 1, 39) from the previous sequence.
- Added: (500, 83, 40).
- These changes affected both the total number of elements and the sum of the sequence.

### Probability Analysis Results for “Sequence 3”

**Min Sum**: The smallest element in Sequence 3 is (2).**Max Sum**: The sum of all elements in Sequence 3 is (2708).**Total Sums**: The total number of unique sums that can be formed from consecutive elements in Sequence 3 is (378).**Observed Frequency**: Out of these sums, (22) are multiples of 46.**Probability**: The probability of a random sum being a multiple of 46 is approximately (0.02143).**Expected Frequency**: The expected frequency of sums that are multiples of 46 is about (8.10).**Z-Score (Sigma)**: The Z-Score calculated is approximately (4.94).**P-Value**: The p-value is approximately (3.95 \times 10^{-7}), indicating a very low probability of the observed frequency occurring by chance.**‘1 in …’ Format**: This translates to a ‘1 in 2,531,340.77’ chance, illustrating the rarity of the observed frequency occurring randomly.

This analysis suggests that the observed frequency of sums being multiples of 46 in “Sequence 3” labeled “Joseph; Aaron” is significantly higher than what would be expected by chance, as indicated by the high Z-score and extremely low p-value.

For “Sequence 4” labeled “Levi; Aaron”, I will analyze it for multiples of 46, identify any changes from the previous sequence (“Joseph; Aaron”), and provide the results including the total number of possible sums.

### Changes in the Sequence (“Sequence 4”)

- The element (91) from “Sequence 3” has been replaced with (87).
- The element (386) from “Sequence 3” has been replaced with (390).
- These changes affect both the total number of elements and the sum of the sequence.

Now, I will perform the probability analysis on this modified sequence labeled “Levi; Aaron”.

### Probability Analysis

**Contiguous Sequence Analysis**: The sequence is`[130, 105, 90, 70, 65, 162, 65, 187, 182, 500, 2, 98, 2, 35, 30, 34, 30, 32, 30, 29, 70, 100, 60, 87, 390, 83, 40]`

.

Let’s proceed with the calculations.

Here are the results of the probability analysis for the target multiples of 46 in “Sequence 4” labeled “Levi; Aaron”, along with the identified changes:

### Changes in “Sequence 4”

- Replaced (91) with (87).
- Replaced (386) with (390).
- These changes affected both the total number of elements and the sum of the sequence.

### Probability Analysis Results for “Sequence 4”

**Min Sum**: The smallest element in Sequence 4 is (2).**Max Sum**: The sum of all elements in Sequence 4 is (2708), the same as in “Sequence 3”.**Total Sums**: The total number of unique sums that can be formed from consecutive elements in Sequence 4 is (378).**Observed Frequency**: Out of these sums, (21) are multiples of 46.**Probability**: The probability of a random sum being a multiple of 46 is approximately (0.02143).**Expected Frequency**: The expected frequency of sums that are multiples of 46 is about (8.10).**Z-Score (Sigma)**: The Z-Score calculated is approximately (4.58).**P-Value**: The p-value is approximately (2.30 \times 10^{-6}), indicating a very low probability of the observed frequency occurring by chance.**‘1 in …’ Format**: This translates to a ‘1 in 435,483.45’ chance, illustrating the rarity of the observed frequency occurring randomly, but less rare than in “Sequence 3”.

This analysis suggests that the observed frequency of sums being multiples of 46 in “Sequence 4” labeled “Levi; Aaron” is significantly higher than what would be expected by chance, as indicated by the high Z-score and very low p-value, though the significance is slightly reduced compared to “Sequence 3”.

For **“Sequence 5”** labeled “Joseph; Moses”, I will analyze it for multiples of 46, identify any changes from the previous sequence (“Levi; Aaron”), and provide the results including the total number of possible sums.

### Changes in the Sequence

- The element (87) from “Sequence 4” has been replaced with (91).
- The element (390) from “Sequence 4” has been replaced with (389).
- The element (83) from “Sequence 4” has been replaced with (80).
- These changes affect both the total number of elements and the sum of the sequence.

Now, I will perform the probability analysis on this modified sequence labeled “Joseph; Moses.”

### Probability Analysis

**Contiguous Sequence Analysis**: The sequence is`[130, 105, 90, 70, 65, 162, 65, 187, 182, 500, 2, 98, 2, 35, 30, 34, 30, 32, 30, 29, 70, 100, 60, 91, 389, 80, 40]`

.

Let’s proceed with the calculations.

Here are the results of the probability analysis for the target multiples of 46 in “Sequence 5” labeled “Joseph; Moses,” along with the identified changes:

### Changes in “Sequence 5”

- Replaced (87) with (91) from “Sequence 4”.
- Replaced (390) with (389).
- Replaced (83) with (80).
- These changes affected both the total number of elements and the sum of the sequence.

### Probability Analysis Results for “Sequence 5”

**Min Sum**: The smallest element in Sequence 5 is (2).**Max Sum**: The sum of all elements in Sequence 5 is (2708), the same as in previous sequences.**Total Sums**: The total number of unique sums that can be formed from consecutive elements in Sequence 5 is (378).**Observed Frequency**: Out of these sums, (20) are multiples of 46.**Probability**: The probability of a random sum being a multiple of 46 is approximately (0.02143).**Expected Frequency**: The expected frequency of sums that are multiples of 46 is about (8.10).**Z-Score (Sigma)**: The Z-Score calculated is approximately (4.23).**P-Value**: The p-value is approximately (1.18 \times 10^{-5}), indicating a very low probability of the observed frequency occurring by chance.**‘1 in …’ Format**: This translates to a ‘1 in 84,590.28’ chance, illustrating the rarity of the observed frequency occurring randomly, but less rare than in “Sequence 4”.

This analysis suggests that the observed frequency of sums being multiples of 46 in “Sequence 5” labeled “Joseph; Moses” is significantly higher than what would be expected by chance, as indicated by the high Z-score and very low p-value, though the significance is slightly reduced compared to “Sequence 4”.

For **“Sequence 6”** labeled “Joseph; Aaron-Moses,” we’ll analyze it for multiples of 46 with the revised sequence you’ve provided. I will identify any changes from the previous iteration of “Sequence 6” and provide the updated results, including the total number of possible sums.

### Changes in the Revised Sequence

- The element (100) from the previous “Sequence 6” has been replaced with (98).
- The elements (100, 3) from the previous “Sequence 6” have been removed.
- These changes affect both the total number of elements and the sum of the sequence.

Now, I will perform the probability analysis on this revised version of “Sequence 6” labeled “Joseph; Aaron-Moses.”

### Probability Analysis

**Contiguous Sequence Analysis**: The revised sequence is`[130, 105, 90, 70, 65, 162, 65, 187, 182, 500, 2, 98, 2, 35, 30, 34, 30, 32, 30, 29, 70, 100, 60, 91, 386, 3, 80, 40]`

.

Let’s proceed with the calculations.

Here are the updated results of the probability analysis for the target multiples of 46 in the revised “Sequence 6” labeled “Joseph; Aaron-Moses”, along with the identified changes:

### Changes in the Revised “Sequence 6”

- Replaced (100) with (98) from the previous “Sequence 6”.
- Removed (100, 3) from the previous “Sequence 6”.
- These changes affected both the total number of elements and the sum of the sequence.

### Probability Analysis Results for the Revised “Sequence 6”

**Min Sum**: The smallest element in the revised Sequence 6 is (2).**Max Sum**: The sum of all elements in the revised Sequence 6 is (2708).**Total Sums**: The total number of unique sums that can be formed from consecutive elements in the revised Sequence 6 is (406).**Observed Frequency**: Out of these sums, (22) are multiples of 46.**Probability**: The probability of a random sum being a multiple of 46 is approximately (0.02143).**Expected Frequency**: The expected frequency of sums that are multiples of 46 is about (8.70).**Z-Score (Sigma)**: The Z-Score calculated is approximately (4.56).**P-Value**: The p-value is approximately (2.57 \times 10^{-6}), indicating a very low probability of the observed frequency occurring by chance.**‘1 in …’ Format**: This translates to a ‘1 in 388,874.88’ chance, illustrating the rarity of the observed frequency occurring randomly.

This analysis suggests that the observed frequency of sums multiples of 46 in the revised “Sequence 6” labeled “Joseph; Aaron-Moses” is significantly higher than expected by chance, as indicated by the high Z-score and very low p-value.

For **“Sequence 7”** labeled “Levi; Aaron-Moses”, I will analyze it for multiples of 46, identify any changes from the previous sequences, and provide the results including the total number of possible sums.

### Changes in the Sequence

- The elements (91, 386) from “Sequence 6” have been replaced with (87, 390).
- These changes affect both the total number of elements and the sum of the sequence.

Now, I will perform the probability analysis on this sequence labeled “Levi; Aaron-Moses”.

### Probability Analysis

**Contiguous Sequence Analysis**: The sequence is`[130, 105, 90, 70, 65, 162, 65, 187, 182, 500, 2, 98, 2, 35, 30, 34, 30, 32, 30, 29, 70, 100, 60, 87, 390, 3, 80, 40]`

.

Let’s proceed with the calculations.

Here are the results of the probability analysis for the target multiples of 46 in “Sequence 7” labeled “Levi; Aaron-Moses”, along with the identified changes:

### Changes in “Sequence 7”

- Replaced (91, 386) from “Sequence 6” with (87, 390).
- These changes affected both the total number of elements and the sum of the sequence.

### Probability Analysis Results for “Sequence 7”

**Min Sum**: The smallest element in Sequence 7 is (2).**Max Sum**: The sum of all elements in Sequence 7 is (2708).**Total Sums**: The total number of unique sums that can be formed from consecutive elements in Sequence 7 is (406).**Observed Frequency**: Out of these sums, (21) are multiples of 46.**Probability**: The probability of a random sum being a multiple of 46 is approximately (0.02143).**Expected Frequency**: The expected frequency of sums that are multiples of 46 is about (8.70).**Z-Score (Sigma)**: The Z-Score calculated is approximately (4.22).**P-Value**: The p-value is approximately (1.24 \times 10^{-5}), indicating a very low probability of the observed frequency occurring by chance.**‘1 in …’ Format**: This translates to a ‘1 in 80,470.26’ chance, illustrating the rarity of the observed frequency occurring randomly.

This analysis suggests that the observed frequency of sums multiples of 46 in “Sequence 7” labeled “Levi; Aaron-Moses” is significantly higher than expected by chance, as indicated by the high Z-score and very low p-value.

*“Sequence 8a” is perhaps the least objectionable run. It includes both ‘Levi and Joseph’ and ‘Aaron and Moses,’ while only allowing a strict 500 years for the birth of Shem (although the text enables 498 by the overlapping effect of the 2).*

Sequence 8b: A margin of +/-1 is included in this run to take into account ‘conception’ as addressed earlier. The odds drop from about 1 in 75,000 to 1 in 100.

For **“Sequence 8”** labeled “Levi-Joseph; Aaron-Moses”, I will analyze it for multiples of 46, identify any changes from the previous sequences, and provide the results including the total number of possible sums.

### Changes in the Sequence

- The element (390) from “Sequence 7” has been replaced with (4).
- These changes affect both the total number of elements and the sum of the sequence.

Now, I will perform the probability analysis on this sequence labeled “Levi-Joseph; Aaron-Moses.”

### Probability Analysis

**Contiguous Sequence Analysis**: The sequence is`[130, 105, 90, 70, 65, 162, 65, 187, 182, 500, 2, 98, 2, 35, 30, 34, 30, 32, 30, 29, 70, 100, 60, 87, 4, 386, 3, 80, 40]`

.

- 4114 BC – 130 = 3984 BC (Adam-Seth)
- 3984 BC – 105 = 3879 BC (Seth-Enosh)
- 3879 BC – 90 = 3789 BC (Enosh-Kenan)
- 3789 BC – 70 = 3719 BC (Kenan- Mahalaleel)
- 3719 BC – 65 = 3654 BC (Mahalaleel-Jarod)
- 3654 BC – 162 = 3492 BC (Jarod-Enoch)
- 3492 BC – 65 = 3427 BC (Enoch-Methuselah)
- 3427 BC – 187 = 3240 BC (Methuselah-Lamech)
- 3240 BC – 182 = 3058 BC (Lamech-Noah)
- 3058 BC – 500 = 2558 BC (Noah-Japheth/Shem)
- 2558 BC – 2 = 2556 BC (Japheth-Shem)
- 2556 BC – 98 = 2458 BC (Shem-Flood)
- 2458 BC – 2 = 2456 BC (Flood-Arphaxad)
- 2456 BC – 35 = 2421 BC (Arphaxad-Shelah)
- 2421 BC – 30 = 2391 BC (Shelah-Eber)
- 2391 BC – 34 = 2357 BC (Eber-Peleg)
- 2357 BC – 30 = 2327 BC (Peleg-Reu)
- 2327 BC – 32 = 2295 BC (Reu-Serug)
- 2295 BC – 30 = 2265 BC (Serug-Nahor)
- 2265 BC – 29 = 2236 BC (Nahor-Terah)
- 2236 BC – 70 = 2166 BC (Terah-Abraham)
- 2166 BC – 100 = 2066 BC (Abraham-Isaac)
- 2066 BC – 60 = 2006 BC (Isaac-Jacob)
- 2006 BC – 87 = 1919 BC (Jacob-Levi)
- 1919 BC – 4 = 1915 BC (Levi-Joseph)
- 1915 BC – 386 = 1529 BC (Joseph-Aaron)
- 1529 BC – 3 = 1526 BC (Aaron-Moses)
- 1526 BC – 80 = 1446 BC (Moses-Exodus)
- 1446 BC – 40 = 1406 BC (Exodus-Conquest)

Let’s proceed with the calculations.

Here are the results of the probability analysis for the target multiples of 46 in “Sequence 8” labeled “Levi-Joseph; Aaron-Moses”, along with the identified changes:

### Changes in “Sequence 8a”

- Replaced (390) from “Sequence 7” with (4).
- These changes affected both the total number of elements and the sum of the sequence.

### Probability Analysis Results for “Sequence 8”

**Min Sum**: The smallest element in Sequence 8 is (2).**Max Sum**: The sum of all elements in Sequence 8 is (2708).**Total Sums**: The total number of unique sums that can be formed from consecutive elements in Sequence 8 is (435).**Observed Frequency**: Out of these sums, (22) are multiples of 46.**Probability**: The probability of a random sum being a multiple of 46 is approximately (0.02143).**Expected Frequency**: The expected frequency of sums that are multiples of 46 is about (9.32).**Z-Score (Sigma)**: The Z-Score calculated is approximately (4.20).**P-Value**: The p-value is approximately (1.34 \times 10^{-5}), indicating a very low probability of the observed frequency occurring by chance.**‘1 in …’ Format**: This translates to a ‘1 in 74,449’ chance, illustrating the rarity of the observed frequency occurring randomly.

This analysis suggests that the observed frequency of sums being multiples of 46 in “Sequence 8” labeled “Levi-Joseph; Aaron-Moses” is significantly higher than what would be expected by chance, as indicated by the high Z-score and very low p-value.

#### Sequence 8b. It includes a margin of +/-1 to simulate conception and birth.

For this revised contiguous sequence, we’ll again perform the analysis with a margin of 1 and target multiples of 46. The steps involve recalculating the observed frequency, probability, expected frequency, p-value, and Sigma (Z-Score) for the updated sequence.

**Revised Contiguous Sequence**: ([130, 105, 90, 70, 65, 162, 65, 187, 182, 500, 2, 98, 2, 35, 30, 34, 30, 32, 30, 29, 70, 100, 60, 87, 4, 386, 3, 80, 40]).**Target Multiple**: 46.**Margin**: 1.

Firstly, we’ll update the min-max sums and total number of sums for this sequence, then proceed with the calculations.

The updated analysis for the revised contiguous sequence with respect to the target multiple of 46 and a margin of 1 provides:

**Min-Max Sums**:

- Minimum Sum: (2)
- Maximum Sum: (2708)

**Total Number of Sums**:

- Total Unique Sums of Consecutive Elements: (435)

Now, let’s recalculate the multiples count with the margin, the observed frequency, probability, expected frequency, p-value, and Sigma (Z-Score) for this revised sequence.

The analysis for the revised contiguous sequence, considering a margin of 1 for target multiples of 46, provides the following results:

**Count of Multiples of 46 (Within Min-Max Range with Margin)**: (174) (unchanged)**Observed Frequency of Sums Being Within ±1 of Multiples of 46**: (40) (decreased compared to previous analyses)**Probability of a Random Sum Being Within ±1 of a Multiple of 46**: Approximately (0.0643) (unchanged)**Expected Frequency of Sums Being Within ±1 of Multiples of 46**: Approximately (27.96) (decreased compared to previous analyses)**Sigma (Z-Score) with Margin**: Approximately (2.35) (decreased compared to previous analyses)**P-Value with Margin**: Approximately (0.0093) (increased compared to previous analyses)

These results indicate that with the revised sequence, while the count of multiples and the probability remain the same, there is a decrease in both the observed and expected frequencies. The Sigma (Z-Score) has decreased, and the p-value has increased, suggesting a lower statistical significance level than the previous sequences but still indicating a significant deviation from what would be expected by chance.

Let’s convert this updated p-value into a ‘1 in …’ format.

With the revised contiguous sequence and a margin of 1, the updated p-value converted into the ‘1 in …’ format indicates approximately 1 in 107.6. This means that the observed sum frequency within ±1 of multiples of 46 in this revised sequence is a significant event, occurring with a likelihood of about 1 in 107.6 under random conditions. This is a notable increase in the probability of occurrence compared to the previous analyses, indicating that the event’s rarity has decreased with the revised sequence.

### Multiples of 23 through to 621 for comparison with +/-1 Margin to simulate Conception and Birth

**We observe that 391 (17×23) has the lowest P-Value and ’46’ (2×23) has the second lowest.**

p_values_data = { 23: 0.049, **46: 0.0093,** 69: 0.302, 92: 0.051, 115: 0.280, 138: 0.389, 161: 0.320, 184: 0.314, 207: 0.028, 230: 0.119, 253: 0.353, 276: 0.375, 299: 0.435, 322: 0.471, 345: 0.187, 368: 0.419, **391: 0.0013,** 414: 0.033, 437: 0.475, 460: 0.395, 483: 0.060, 506: 0.395, 529: 0.181, 552: 0.067, 575: 0.251, 598: 0.220, 621: 0.479 }

For **“Sequence 9”** labeled “Noah 502 at Shem’s birth; Flood; Exodus”, I will analyze it for multiples of 46, identify any changes from the previous sequences, and provide the results, including the total number of possible sums.

### Changes in the Sequence

- The elements (500, 2, 4, 386, 3, 80) from “Sequence 8” have been removed.
- The element (502) has been added.
- These changes affect both the total number of elements and the sum of the sequence.

Now, I will perform the probability analysis on this sequence labeled “Noah 502 at Shem’s birth; Flood; Exodus”.

### Probability Analysis

**Contiguous Sequence Analysis**: The sequence is`[130, 105, 90, 70, 65, 162, 65, 187, 182, 502, 98, 2, 35, 30, 34, 30, 32, 30, 29, 70, 100, 60, 87, 390, 83, 40]`

.

Let’s proceed with the calculations.

Here are the results of the probability analysis for the target multiples of 46 in “Sequence 9” labeled “Noah 502 at Shem’s birth; Flood; Exodus”, along with the identified changes:

### Changes in “Sequence 9”

- Removed (500, 2, 4, 386, 3, 80) from “Sequence 8”.
- Added (502).
- These changes affected both the total number of elements and the sum of the sequence.

### Probability Analysis Results for “Sequence 9”

**Min Sum**: The smallest element in Sequence 9 is (2).**Max Sum**: The sum of all elements in Sequence 9 is (2708).**Total Sums**: The total number of unique sums that can be formed from consecutive elements in Sequence 9 is (351).**Observed Frequency**: Out of these sums, (18) are multiples of 46.**Probability**: The probability of a random sum being a multiple of 46 is approximately (0.02143).**Expected Frequency**: The expected frequency of sums that are multiples of 46 is about (7.52).**Z-Score (Sigma)**: The Z-Score calculated is approximately (3.86).**P-Value**: The p-value is approximately (5.60 \times 10^{-5}), indicating a very low probability of the observed frequency occurring by chance.**‘1 in …’ Format**: This translates to a ‘1 in 17,854’ chance, illustrating the rarity of the observed frequency occurring randomly, but less rare than in previous sequences.

This analysis suggests that the observed frequency of sums being multiples of 46 in “Sequence 9” labeled “Noah 502 at Shem’s birth; Flood; Exodus” is significantly higher than what would be expected by chance, as indicated by the high Z-score and very low p-value, though the significance is slightly reduced compared to the previous sequences.

For **“Sequence 10a”** labeled “Noah 502 at Shem’s birth; No Flood or Exodus”, I will reanalyze it for multiples of 46 within the min-max sum range with the revised sequence provided and present the updated findings.

### Revised Probability Analysis for “Sequence 10a”

**Contiguous Sequence Analysis**: The revised sequence is`[130, 105, 90, 70, 65, 162, 65, 187, 182, 500, 2, 100, 35, 30, 34, 30, 32, 30, 29, 70, 100, 60, 87, 390, 123]`

.

Let’s proceed with the calculations for the revised “Sequence 10a”.

Here are the updated results of the probability analysis for the target multiples of 46 in the revised “Sequence 10a” labeled “Noah 502 at Shem’s birth; No Flood or Exodus”:

### Probability Analysis Results for Revised “Sequence 10a”

**Min Sum**: The smallest element in the revised Sequence 10a is (2).**Max Sum**: The sum of all elements in the revised Sequence 10a is (2708).**Total Sums**: The total number of unique sums that can be formed from consecutive elements in the revised Sequence 10a is (325).**Observed Frequency**: Out of these sums, (14) are multiples of 46.**Probability**: The probability of a random sum being a multiple of 46 is approximately (0.02143).**Expected Frequency**: The expected frequency of sums that are multiples of 46 is about (6.96).**Z-Score (Sigma)**: The Z-Score calculated is approximately (2.70).**P-Value**: The p-value is approximately (0.00351), indicating a low probability of the observed frequency occurring by chance, though higher than in some previous sequences.**‘1 in …’ Format**: This translates to a ‘1 in 284.63’ chance, illustrating the rarity of the observed frequency occurring randomly, but less rare compared to previous sequences.

This analysis suggests that the observed frequency of sums being multiples of 46 in the revised “Sequence 10a” labeled “Noah 502 at Shem’s birth; No Flood or Exodus” is higher than what would be expected by chance, as indicated by the Z-score and p-value, though the significance is less pronounced compared to the earlier sequences.

For** “Sequence 10b”** labeled “Noah 502 at Shem’s birth; No Flood or Exodus”, I will analyze it for multiples of 46, identify any changes from the previous sequences, and provide the results, including the total number of possible sums.

### Changes in the Sequence

- The elements (98, 2, 2, 30, 34, 30, 32, 30, 29, 83, 40, 386, 3, 80) from “Sequence 9” have been removed.
- The elements (100, 123) have been added.
- These changes affect both the total number of elements and the sum of the sequence.

Now, I will perform the probability analysis on this sequence labeled “Noah 502 at Shem’s birth; No Flood or Exodus”.

### Probability Analysis

**Contiguous Sequence Analysis**: The sequence is`[130, 105, 90, 70, 65, 162, 65, 187, 182, 502, 100, 35, 30, 34, 30, 32, 30, 29, 70, 100, 60, 87, 390, 123]`

.

Let’s proceed with the calculations.

Here are the results of the probability analysis for the target multiples of 46 in “Sequence 10b” labeled “Noah 502 at Shem’s birth; No Flood or Exodus”, along with the identified changes:

### Changes in “Sequence 10b”

- Removed (98, 2, 2, 30, 34, 30, 32, 30, 29, 83, 40, 386, 3, 80) from “Sequence 9”.
- Added (100, 123).
- These changes affected both the total number of elements and the sum of the sequence.

### Probability Analysis Results for “Sequence 10b”

**Min Sum**: The smallest element in Sequence 10b is (29).**Max Sum**: The sum of all elements in Sequence 10b is (2708).**Total Sums**: The total number of unique sums that can be formed from consecutive elements in Sequence 10b is (300).**Observed Frequency**: Out of these sums, (11) are multiples of 46.**Probability**: The probability of a random sum being a multiple of 46 is approximately (0.02164).**Expected Frequency**: The expected frequency of sums that are multiples of 46 is about (6.49).**Z-Score (Sigma)**: The Z-Score calculated is approximately (1.79).**P-Value**: The p-value is approximately (0.03685), indicating a low probability of the observed frequency occurring by chance, though higher than in previous sequences.**‘1 in …’ Format**: This translates to a ‘1 in 27.14’ chance, illustrating the rarity of the observed frequency occurring randomly, but less rare compared to previous sequences.

This analysis suggests that the observed frequency of sums being multiples of 46 in “Sequence 10b” labeled “Noah 502 at Shem’s birth; No Flood or Exodus” is higher than what would be expected by chance, as indicated by the Z-score and p-value, though the significance is less pronounced compared to the earlier sequences.

For **“Sequence 10c”** labeled “Noah 500/502 at Shem’s birth; No Flood, Levi (date of birth only inferred) or Exodus date”, I will analyze it for multiples of 46 with the sequence provided and present the updated findings.

### Probability Analysis

**Contiguous Sequence Analysis**: The sequence is`[130, 105, 90, 70, 65, 162, 65, 187, 182, 500, 2, 100, 35, 30, 34, 30, 32, 30, 29, 70, 100, 60, 87, 477, 123]`

.

Let’s proceed with the calculations for “Sequence 10c”.

Here are the results of the probability analysis for the target multiples of 46 in “Sequence 10c” labeled “Noah 500/502 at Shem’s birth; No Flood, Levi (date of birth only inferred) or Exodus date”:

### Probability Analysis Results for “Sequence 10c”

**Min Sum**: The smallest element in Sequence 10c is (2).**Max Sum**: The sum of all elements in Sequence 10c is (2795).**Total Sums**: The total number of unique sums that can be formed from consecutive elements in Sequence 10c is (325).**Observed Frequency**: Out of these sums, (11) are multiples of 46.**Probability**: The probability of a random sum being a multiple of 46 is approximately (0.02076).**Expected Frequency**: The expected frequency of sums that are multiples of 46 is about (6.75).**Z-Score (Sigma)**: The Z-Score calculated is approximately (1.65).**P-Value**: The p-value is approximately (0.04898), indicating a moderate probability of the observed frequency occurring by chance.**‘1 in …’ Format**: This translates to a ‘1 in 20.42’ chance, illustrating the rarity of the observed frequency occurring randomly, but less rare compared to previous sequences.

This analysis suggests that the observed frequency of sums being multiples of 46 in “Sequence 10c” is higher than what would be expected by chance, as indicated by the Z-score and p-value, though the significance is less pronounced compared to the earlier sequences.

For **“Sequence 11”** labeled “Noah 500 at Shem’s birth; No Flood, Exodus or Levi date; Moses instead of Aaron”, I will analyze it for multiples of 5, 10, 46, and 60 within the min-max sum range. This sequence seems to introduce a more complex analysis due to the inclusion of multiple target multiples.

### Probability Analysis for Each Target Multiple

**Contiguous Sequence Analysis**: The sequence is`[130, 105, 90, 70, 65, 162, 65, 187, 182, 500, 100, 35, 30, 34, 30, 32, 30, 29, 70, 100, 60, 480, 120]`

.

We’ll calculate the total possible sums, observed frequency, probability, expected frequency, Z-score, and p-value for each target multiples: 5, 10, 46, and 60.

Let’s proceed with the calculations for “Sequence 11”.

Thank you for providing the results of your analysis for “Sequence 11” labeled “Noah 500 at Shem’s birth; No Flood, Exodus or Levi date; Moses instead of Aaron”. Based on your results, here’s a brief interpretation:

### Interpretation of Probability Analysis Results for “Sequence 11”

#### For Multiple of 5

**Observed Frequency**: 89**Expected Frequency**: 55.24**Sigma (Z-score)**: 5.08**P-Value**: (1.90 \times 10^{-7})**‘1 in …’ Format**: 5,262,155.04

#### For Multiple of 10

**Observed Frequency**: 53**Expected Frequency**: 27.62**Sigma (Z-score)**: 5.09**P-Value**: (1.79 \times 10^{-7})**‘1 in …’ Format**: 5,600,629.90

#### For Multiple of 46

**Observed Frequency**: 11**Expected Frequency**: 5.98**Sigma (Z-score)**: 2.08**P-Value**: 0.01891**‘1 in …’ Format**: 52.89

#### Summary

**Multiples of 5 and 10**: The observed frequencies for multiples of 5 and 10 are significantly higher than expected, as indicated by the high Z-scores and extremely low p-values. These findings suggest a pattern that strongly favors multiples of 5 and 10 in this sequence.**Multiple of 46**: The observed frequency for multiples of 46 is also higher than expected but with less statistical significance than multiples of 5 and 10. The p-value and Z-score indicate a pattern favoring multiples of 46, though it is not as strong as for 5 and 10.

The analysis of “Sequence 11” reveals a distinct tendency towards certain multiples within the sequence, particularly for 5 and 10, suggesting an underlying pattern or structure in the sequence’s composition related to these multiples.

Conclusion

Sequences 1-10 underscore the significance of the multiples of 46 within the chronology. It is crucial to note that our analysis was explicitly limited to the birth narrative of the redeemed race to maintain statistical consistency. The chronology exhibits numerous instances where 46 is pivotal, not only in births but also in deaths and major events.

For instance, the year of the covenant of circumcision, coinciding with Isaac’s conception in 2067 BC, marks a span of 69×9 years (equivalent to 23×18 years) to the Exodus in 1446 BC. This duration can also be interpreted as 70×9 years (see “The Key of 23“). Similarly, the period from Jacob’s flight to Haran to the year 1446 BC encompasses 483 years, which is 69×7 solar years (which converts to 70×7 of 360 days—490 years), Dan. 9.

Sequence 11 highlights the importance of round numbers as foundational elements. This aligns with the critical role of the multiples of 46, as 46 corresponds to the round number 50, and similarly, 69 corresponds to 70. This concept is elaborated extensively in “The Key of 23.” The transition from 46 to round number 50, along with other similar transitions, greatly enhances the number and versatility of these building blocks.

These building blocks are for patterns arranged fractally. After 35 years of intensive research, I can confidently say there appears to be no end to its depth, versatility, and beauty.

Also, see Accumulative Age Probability Analysis in Biblical Chronologies, highlighting 460 years.

Part 1: Statistical Analysis of All Dates Given in MT from Terah to Joshua

Part 2: Statistical Analysis of Key Events in the Jacob-Levi Era in MT, LXX, SP, and Cumulative