This is the first in a series of articles that conduct probability analyses of Biblical chronologies. We begin with the “Accumulative-Age Chronology.” Note: The Sigma Value is more accurate than the P-value. Also, see Probability Analysis of Target Multiple 46 for Births of Adam to Moses with its Subtle Variations: MT Regular Chronology (“430 years in Egypt”) 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 We examine two chronologies of the antediluvian and postdiluvian patriarchs from Adam to Moses and Joshua, based on the Masoretic Text, the authoritative Hebrew source of the Tanakh. We also explore the impact of including or excluding the second Cainan, who is attested with a lifespan of 460 years in the genealogy of Luke 3:36, the Septuagint, and the Book of Jubilees. Key Points: Instructions to Gpt: (Note: The following instructions include hundreds of thousands of words from previous discussions in probability analysis related to Biblical Chronologies uploaded into its memory via “Custom GPT.”) “You’re an expert in the probability analysis of contiguous sequences! Proceed step by step and double-check all calculations. # 1. Contiguous Sequence:  Examine the list for specific target multiples (e.g., 46, 230). Note: This is a ‘list’, not a ‘set’. # 2. Min-Max Sums:  Find the smallest and largest possible sums in the list. Usually, the smallest is the min element; the largest is the total sum. # 3. Count Multiples:  Tally multiples of each target within the min-max sum range. Zero is an event, not a multiple. # 4. Total Sums:  Use \( \frac{n \times (n + 1)}{2} \) to calculate the total unique sums of consecutive list elements. # 5. Observed Frequency:  Count the sums that are multiples of the target within the min-max sum range. # 6. Probability: Use \( \frac{\text{Count from Step 3}}{\text{Max – Min} + 1} \) to find the likelihood of a random sum being a target multiple. # 7. Expected Frequency:  Multiply Step 6 by Step 4 for the expected frequency of target multiples. # 8. P-Value:  Use a binomial test to determine the p-value, based on the observed frequency and Step 6 probability. # 9. Z-Score:  Calculate Sigma (Z-Score). # 10. ‘1 in …’ Format:  Convert the p-value to ‘1 in …’ format. # 11. Presentation:  Please follow these steps. It is very important to my research.” The following is an example of just one of the hundreds of statistical queries made: In this example, multiples of 2747, 2748, 2749, are targeted. (Note: “2748” is the highest of any multiple from 1-12600.) My question: Target multiples of 2747, 2748, and 2749. Make sure to target multiples of each. For example, multiples of “2748” mean 2748, 5496, 8244, etc. Display onscreen. Include the code used. Everything has to be adjusted accordingly and double-checked: sequence. = [2, 930, 912, 905, 910, 895, 962, 365, 969, 777, 950, 600, 2, 438, 433, 464, 239, 239, 230, 148, 205, 175, 180, 147, 137, 133, 137, 123] margin = 1 # Margin for the sum values Response by ChatGpt: The probability analysis for the sequence with target multiples of 2747, 2748, and 2749, within a margin of 1, yielded the following results: The analysis for each target multiple is as follows: The p-values and Z-scores indicate how significantly the observed frequencies differ from the expected frequencies. A smaller p-value suggests a more significant difference between observed and expected frequencies. For targets 2748 and 2749, the p-values are very small, indicating that the observed frequencies are significantly different from what would be expected by chance. Code used by Chatgpt for the above response: from scipy.stats import normimport pandas as pdimport numpy as np Define the sequence and other parameters sequence = [2, 930, 912, 905, 910, 895, 962, 365, 969, 777, 950, 600, 2, 438, 433, 464, 239, 239, 230, 148, 205, 175, 180, 147, 137, 133, 137, 123]margin = 1 # Margin for the sum values Compute the total number of sums of consecutive elements within the sequence n = len(sequence)total_sums = (n * (n + 1)) // 2 # Formula for the number of sums Calculate the min and max sum values for the sequence min_sum = min(sequence)max_sum = sum(sequence) Calculate all possible sums of consecutive elements within the sequence sums_within_margin = [sum(sequence[i:j]) for i in range(len(sequence)) for j in range(i + 1, len(sequence) + 1)] Targets for checking targets = [2747, 2748, 2749] Initialize a list to store the observed and expected frequencies for the targets observed_freqs = []expected_freqs = []p_values = []sigmas = [] Loop through each target to calculate the observed and expected frequencies for target in targets:# Calculate the observed frequency for the targetobserved_freq = len([s for s in sums_within_margin if any(abs(s – target * multiple) <= margin for multiple in range(1, (max_sum // target) + 1))])observed_freqs.append(observed_freq) Create a table for the targets results_table = pd.DataFrame({‘Target’: targets,‘Observed Frequency’: observed_freqs,‘Expected Frequency’: expected_freqs,‘Sigma (Z-score)’: sigmas,‘p-value’: p_values}) total_sums, min_sum, max_sum, results_table Result (406,2,12607,Target Observed Frequency Expected Frequency Sigma (Z-score) p-value0 2747 1 0.386483 0.987344 0.1617371 2748 7 0.386483 10.643251 0.0000002 2749 3 0.386483 4.205980 0.000013) Source of Sequence of Sums Analysed sequence = [2, 930, 912, 905, 910, 895, 962, 365, 969, 777, 950, 600, 2, 438, 433, 464, 239, 239, 230, 148, 205, 175, 180, 147, 137, 133, 137, 123]margin = 1 # Margin for the sum values Adam to Joshua, with 2nd Cainan included For the following analysis, we incorporate the second Cainan, whose recorded lifespan is 460 years, and Joshua into the chronology. We assign Joshua’s 110 years of life to the period after Moses’ death, as he was Moses’ successor and counterpart. Historically, Joshua was not a descendant of Levi, but of Ephraim, one of the sons of Jacob. Theologically, however, Joshua was the continuation and fulfillment of Moses’ mission. The target values and sums are all ten times larger than the actual, including the margin of “+/-65, 70, 75.” This does not change the results but avoids floating-point errors in the code. Results were diligently compared with normal figures (not ten-fold), which are the same. The following yielded the highest Sigma values. (Generally, Z-5 or above is considered highly unlikely to be random.) We begin with the highest Z-Values (Sigma), thereby the lowest P-Values. Below, the P-Values are converted to the more colloquial “1 in …” format. After this, targets of multiples of 4578 to 4585 are each examined and compared in detail, along with all other pertinent information. Note: (4600 x 364)/365.2422=4584.355. Hence, 4584.355 solar years is 4600 Enochian. 4584.355 is very close to “4582,” which yielded the least likely to be random change, “1 in 9 quintillion.” The chart shows the range of possible values for the accumulative age chronology, which includes the intentional +/- 7 or 7.5 years for each patriarch from Adam to Shem, etc. Thus, the possible spread from Adam to Moses is 12600-12607.5 years. Add the 460 and 110 of Cainan and Joshua used in the following analysis (13170-13177.5). The extra half-year made no difference when included within the sequence, with the extra 2, 2, and 3 (or 3.5) spread evenly at Creation, the Flood, and the Exodus, respectively. The following illustrates the position of the numbers 2, 2, and 3 (x-10) in the series we are analyzing, found in bold italics. For example, the first number, 9300, is the age of Adam when he died, 930 years. The last two numbers are the ages of Moses and Joshua when they died, 120 and 110 (Moses’s brother, Aaron, lived 123 concurrent with Moses). The second Cainan, who lived 460 years, is in italics. He is in the right place according to the Bible’s genealogy. [20, 9300, 9120, 9050, 9100, 8950, 9620, 3650, 9690, 7770, 9500, 6000, 20, 4380, “4600,” 4330, 4640, 2390, 2390, 2300, 1480, 2050, 1750, 1800, 1470, 1370, 1330, 1370, 1200, 30, 1100] First, I present the series without the 110 of Joshua, which only increases the unlikeliness of it being random. After that, the 460 (“4600”) of 2nd Cainan is removed for comparison. The rest includes both 2nd Cainan and Joshua and are presented in detail. But before we get to the analysis, it is helpful to summarize key patterns within the Accumulative Chronology mainly to showcase the “ten-times” nature of the Accumulative compared to the Regular Chronology. Exploring the Inclusion of Joshua in Biblical Chronology: Analyzing the Significance of Multiples of ‘458.2’ (≈460) in the Accumulative Chronology as Evidence of Non-Random Patterns, and Its Tenfold Relation to the Regular Chronology’s ’46’ The Bible, particularly the Book of Hebrews, articulates theological justifications for including Joshua in the biblical chronology with Moses. Noah and Moses are depicted as analogous figures, each heralding the advent of Shem and Joshua into a new epoch. These four individuals are portrayed as bridge-builders between two worlds, with Moses only beholding the promised new land. However, the numerical resonances provide even stronger evidence for Joshua’s inclusion for two principal reasons: Firstly, Moses’ demise in 1406 BC marks the beginning of Joshua’s 110-year lifespan in the Accumulative Chronology, stretching from 1406 to 1296 BC. This period corresponds with 1150 (Daniel 8) and 1260 (3.5×360) years back to 2556 BC, Shem’s birth in the regular chronology, and aligns with another 2880 (8×360) years back to Shem’s birth in the Accumulative Chronology (5436 BC). The timeline from 2556 BC to 1296 BC to 6 BC (the birth of Christ) totals 1260+1290 years, resonating with Daniel 9, 12, and Revelation 11-13’s “seven years,” and includes the 1150 years of Daniel 8. The 8×360-year gap between Shem’s births in both chronologies mirrors the ‘eight souls’ on Noah’s Ark, linking accumulative and regular chronologies. Secondly, the epoch from Noah’s death/Shem’s birth to Joshua’s death spans precisely 4600 years in the Accumulative Chronology (4000 years from Shem’s death, marking the Flood). (Shem lived “600 years.”) These 4600 years include the 460 years of the second Cainan, who revived the fallen Watcher-Angels’ teachings post-Flood as per the Book of Jubilees. (The span is 460×9 if Cainan’s 460 is not included.) From Shem’s death (which also marks the Flood, 4836 BC) to Moses’ death (1406 BC), 70 jubilees (70×49 years) are counted. Thus, 1406 BC, marking Israel’s entry into the Promised Land, signifies 70 jubilees since the Flood and 21 jubilees from Abraham. The period from the Flood to Abraham spans 49×49 years (7x7x7x7), and an added 21×49 years (3x7x7x7) to the Conquest, totaling 70×49 years (10x7x7x7). This structure, with ’49’ (7×7) and the symbolism of ‘3’, ‘7’, and ’10’ representing completion, segments three of the four major sections in Biblical Chronology from Adam to Moses, with the remaining section covering from Creation to the Flood, 70×131. From Creation to Joshua’s Conquest, it’s 12600 years, half 70×360. Additionally, the chronology itself incorporates a 2+3-year margin (included in our statistic analysis) to encompass 175 jubilees (5x5x7x7x7) from Creation to Shem’s birth and 23×175 more to the Conquest/birth of Joshua, totaling 72×175=12600; see, “Key of 23.” Abraham’s life of 175 years, divided into a 3-1-3 ratio (75+25+75), further supports this structured division from Adam to Moses, suggesting intentional design. Thus, the 70 and/or 72 nations of the Table of Nations (Gen. 10; Luke 10:1-24) become integral to the 12600 from Adam to Moses as 72×175 and 70×180, corresponding to the 175 and 180 years that Abraham and Isaac lived, with Jacob at 147 (3x7x7). God told Abraham, “You shall be the father of many nations,” Gen. 17:4. Daniel’s “490” prophecy in Daniel 9, intersecting with narratives in Daniel 12 and Revelation 11-13, was revealed in 536 BC after the exile’s end in 538 BC, precisely 4900 years after Shem’s birth and 4300 years after his death. This timeline includes the 4830+70 year pattern of Daniel 9, with the additional 70 years overlapping the Babylonian exile and the “dividing of the 70” falling on 571/573 BC, as per Ezekiel 29:17 and ch. 40. The full 4830+35+35 pattern culminates 600 … Continue reading 1. Accumulative Age Analysis in Biblical Chronologies: From Adam to Moses/Joshua