Probability Analysis of Target Multiple 46 for Births of Adam to Moses with its Subtle Variations
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 JoshuaPart 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]. 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” 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. Details: Basic Analysis Results:Minimum Sum: 1Maximum Sum: 2708Total Possible Sums: 496Observed Multiples of 46: 28Expected Multiples of 46: 10.62Z-Score: 5.39P-Value: 3.54e-08Approximately 1 in 28,285,006 chance of occurring randomly Detailed Chronological Analysis of Multiples of 46: Sum | Time Period (BC) | Elements 460 | 4114 – 3654 BC | [130, 105, 90, 70, 65]874 | 4114 – 3240 BC | [130, 105, 90, 70, 65, 162, 65, 187]1058 | 4114 – 3056 BC | [130, 105, 90, 70, 65, 162, 65, 187, 182, 2]1656 | 4114 – 2458 BC | [130, 105, 90, 70, 65, 162, 65, 187, 182, 2, 498, 2, 98]2668 | 4114 – 1446 BC | [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]1426 | 3984 – 2558 BC | [105, 90, 70, 65, 162, 65, 187, 182, 2, 498]1748 | 3984 – 2236 BC | [105, 90, 70, 65, 162, 65, 187, 182, 2, 498, 2, 98, 1, 1, 35, 30, 34, 30, 32, 30, 29]1978 | 3984 – 2006 BC | [105, 90, 70, 65, 162, 65, 187, 182, 2, 498, 2, 98, 1, 1, 35, 30, 34, 30, 32, 30, 29, 70, 100, 60]414 | 3654 – 3240 BC | [162, 65, 187]598 | 3654 – 3056 BC | [162, 65, 187, 182, 2]1196 | 3654 – 2458 BC | [162, 65, 187, 182, 2, 498, 2, 98]2208 | 3654 – 1446 BC | [162, 65, 187, 182, 2, 498, 2, 98, 1, 1, 35, 30, 34, 30, 32, 30, 29, 70, 100, 60, 91, 386, 3, 80]1426 | 3492 – 2066 BC | [65, 187, 182, 2, 498, 2, 98, 1, 1, 35, 30, 34, 30, 32, 30, 29, 70, 100]184 | 3240 – 3056 BC | [182, 2]782 | 3240 – 2458 BC | [182, 2, 498, 2, 98]1794 | 3240 – 1446 BC | [182, 2, 498, 2, 98, 1, 1, 35, 30, 34, 30, 32, 30, 29, 70, 100, 60, 91, 386, 3, 80]598 | 3056 – 2458 BC | [498, 2, 98]1610 | 3056 – 1446 BC | [498, 2, 98, 1, 1, 35, 30, 34, 30, 32, 30, 29, 70, 100, 60, 91, 386, 3, 80]322 | 2558 – 2236 BC | [2, 98, 1, 1, 35, 30, 34, 30, 32, 30, 29]552 | 2558 – 2006 BC | [2, 98, 1, 1, 35, 30, 34, 30, 32, 30, 29, 70, 100, 60]1150 | 2556 – 1445 BC | [98, 1, 1, 35, 30, 34, 30, 32, 30, 29, 70, 100, 60, 91, 386, 3, 80, 1, 39]1012 | 2458 – 1446 BC | [1, 1, 35, 30, 34, 30, 32, 30, 29, 70, 100, 60, 91, 386, 3, 80]1012 | 2457 – 1445 BC | [1, 35, 30, 34, 30, 32, 30, 29, 70, 100, 60, 91, 386, 3, 80, 1]506 | 2421 – 1915 BC | [30, 34, 30, 32, 30, 29, 70, 100, 60, 91]92 | 2357 – 2265 BC | [30, 32, 30]828 | 2357 – 1529 BC | [30, 32, 30, 29, 70, 100, 60, 91, 386]736 | 2265 – 1529 BC | [29, 70, 100, 60, 91, 386]230 | 2236 – 2006 BC | [70, 100, 60] Summary Statistics of Multiples:Number of multiples found: 28Smallest multiple: 92Largest multiple: 2668Average multiple: 1039.93 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” 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 … Continue reading Probability Analysis of Target Multiple 46 for Births of Adam to Moses with its Subtle Variations
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