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

For the full list of dates, see:
490d.com/mt-lxx-sp-sp215-regular-short-chronology-table/

490d.com/mt-lxx-sp-lifespan-accumulative-long-chronology-table/

Also, see:

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

Probability Analysis of Target Multiple 46 for Births of Adam to Moses with its Subtle Variations: MT Regular Chronology (“430 years in Egypt”).

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

---

As expected, multiples of seven occur far more than randomness would when analyzing the period of Jacob and sons across all three major textual traditions of the MT, LXX and SP, including the Accumulative-Lifespan chronology.

Unexpectedly by this researcher, when this analysis was continued across all events from Terah to the Exodus and Conquest, the pattern collapsed, and multiples of seven were no longer statistically significant. As expected, though, multiples of 5, 10, and 40 became pronounced, but the most noteworthy was multiples of 160 (4 x40). This is significant because of the promise God made to Abraham:

In the fourth generation your descendants will come back here, for the sin of the Amorites has not yet reached its full measure.

Genesis 15:16

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

Below is the full chart of dates extracted for analysis. The Python script allows one to subtract or add a date to tweak by the user, but these are the dates I have long settled upon without thought of statistical analysis.

Terah	2236 – 2031	205
Patriarchal Period
Abraham	2166 – 1991	175	Call of Abram (2091 BC), Covenant of Pieces (2081 BC), Covenant of Circumcision & Destruction of Sodom (2067 BC)
Sarah	2156 – 2029	127
Ishmael	2080 – 1943	137
Isaac	2066 – 1886	180	Wedding of Isaac (2026 BC)
Jacob	2006 – 1859	147	Jacob flees Esau (1929 BC) Jacob works for wives (1929-1922-1915 BC) Jacob returns to Canaan (1909 BC)
Esau	2006 – ?	–	Esau marries (1966 BC)
Levi	1919 – 1782	137
Judah	1918 – 1789	129	Death year per tradition
Joseph	1915 – 1805	110	Joseph sold as slave (1898 BC). Joseph’s release delayed two years (1887-1885) 7 years plenty (1885-1878 BC) 7 years famine (1878-1871 BC)
Benjamin	1906 – ?	–	Birth of Benjamin (likely 1906 BC)
Egypt to Exodus
Israelites in Egypt	1876 – 1446	430
Kohath	–	133
Amram	–	137
Aaron	1529 – 1406	123	Birth (summer of 1530 exact) Death (summer of 1407)
Moses	1526 – 1406	120	Birth (winter of 1526 exact) Flees to Midian (1486 BC) Exodus (1446 BC) Tabernacle (1445 BC) Death (winter of 1406)
Conquest (1406-1400 BC) First Sabbath year of rest (1399 BC) Conquest and Judges
Joshua, “And also וְגַם all that GENERATION died” (Judges 2:9-10)	1476 – 1366	110	“Generation” of 40-yrs implied (1406-1366)

The graph above depicts the statistical significance of various multiples in the chronological data. For a more detailed perspective, the table below focuses on just the series of multiples of 10, 20, 30, and so on. While we anticipate elevated significance across this series due to the nature of the data, the multiple of 160 stands out remarkably with seven instances. This prominence is particularly noteworthy when compared to other meaningful numbers in the biblical narrative.

For instance, both Joseph and Joshua are recorded as living for 110 years, yet the P-value for this multiple barely reaches the threshold of statistical significance. This contrast highlights the exceptional nature of the 160-year pattern within the chronology.

MT Specific Multiples Full Analysis – Extended List

Multiple	Connections	Expected Connections	P-value
10	53	21.000000	2.030453e-10
20	27	10.500000	7.564674e-06
30	20	7.000000	2.958250e-05
40	19	5.250000	1.790790e-06
50	9	4.200000	2.656265e-02
60	11	3.500000	8.992800e-04
70	6	3.000000	8.246501e-02
80	8	2.625000	5.302023e-03
90	6	2.333333	3.097341e-02
100	5	2.100000	6.117810e-02
110	5	1.909091	4.404071e-02
120	6	1.750000	8.812955e-03
130	2	1.615385	4.807875e-01
140	2	1.500000	4.427742e-01
150	3	1.400000	1.660153e-01
160	7	1.312500	3.994654e-04
170	3	1.235294	1.277533e-01
180	3	1.166667	1.128725e-01
190	2	1.105263	3.029984e-01
200	2	1.050000	2.826730e-01
210	1	1.000000	6.329982e-01
220	1	0.954545	6.158497e-01
230	2	0.913043	2.322236e-01
240	2	0.875000	2.182878e-01
250	2	0.840000	2.055357e-01

Further Explanation of the Above Multiple Search Analysis:

This analysis uses a Python script to search for multiples of specific numbers within a set of historical dates. The dates range from the time of Terah to Joshua, covering key events in biblical chronology.

Key Points:

1. Definition of Multiples:

• For example, multiples of 7 include 7, 14, 21, 28, 35, etc.
• Multiples of 120 would be 120, 240, 360, 480, 600, 720, 840, etc.
• The search is limited to the span of dates in the dataset.

2. Focus on the Comprehensive Dataset:

• The final results use the most comprehensive list of dates.
• This list includes all possible dates from Terah to Joshua without omitting minor details.
• It avoids unintentional bias by including all available dates.

3. Selective Inclusion of Births:

• The births of Levi (1919 BC), Judah (1918 BC), and Joseph (1915 BC) are included.
• Other births between 1921 BC and 1915 BC are omitted to avoid repetition.

4. Script and Data Source:

• The Python script was created by ChatGPT 4.
• Claude 3 Sonnet extracted the comprehensive list of dates from the provided chronological table.
• The analysis was run on Google Colab.

5. Purpose of the Analysis:

• To identify patterns in the chronology based on multiples of selected numbers.
• The script can be easily adjusted to search for different multiples or date ranges.

6. Interpretation:

• The results from the comprehensive list (the third list in the script) are considered the most significant.
• These results provide insights into potential patterns or alignments in the biblical chronology.

This analysis aims to uncover any statistical significance in the occurrence of certain multiples within the given chronology, potentially revealing underlying patterns in the historical timeline.

As seen in the graph below, multiples of ten occur least randomly.

Python Script:

Import necessary libraries

from scipy.stats import binomtest # Changed from binom_test to binomtest
import pandas as pd

Define the three lists of MT Dates

mt_dates_list1 = [
1406, 1526, 1529, 1792, 1859, 1886, 1919, 1991, 2006, 2029, 2031, 2066, 2156, 2166, 2236
]

mt_dates_list2 = [
1366, 1406, 1476, 1526, 1529, 1792, 1805, 1859, 1886, 1915, 1919, 1943, 1991, 2006, 2029, 2091, 2066, 2080, 2156, 2166, 2296
]

mt_dates = [
2236, 2166, 2156, 2091, 2081, 2080, 2067, 2066, 2031, 2029,
2026, 2006, 1991, 1966, 1929, 1922, 1919, 1918, 1915, 1909,
1906, 1898, 1887, 1886, 1885, 1878, 1876, 1871, 1859, 1805, 1789,
1782, 1530, 1529, 1526, 1486, 1476, 1446, 1445, 1406, 1400,
1399, 1366
]

Define the specific multiples to check

specific_multiples_full = [1, 5, 7, 8, 10, 15, 16, 17, 18, 19, 20, 23, 25, 35, 40, 46, 49, 50, 60, 69, 70, 77, 80, 100, 120, 160, 161, 200, 280, 360, 400]

Function to check if the difference between two dates is a multiple of a given number

def is_multiple_of(date1, date2, multiple):
return abs(date1 – date2) % multiple == 0

Function to calculate p-values

def calculate_p_values(dates, multiples):
results = {}
n = len(dates)
total_possible_connections = n * (n – 1) // 2
for multiple in multiples:
connections = sum(1 for i in range(n) for j in range(i + 1, n) if is_multiple_of(dates[i], dates[j], multiple))
expected_connections = total_possible_connections * (1 / multiple)
# Use binomtest instead of binom_test
p_value = binomtest(connections, total_possible_connections, 1 / multiple, alternative=’greater’).pvalue
results[multiple] = (connections, expected_connections, p_value)
return results

Calculate p-values for all three lists

mt_p_values_list1 = calculate_p_values(mt_dates_list1, specific_multiples_full)
mt_p_values_list2 = calculate_p_values(mt_dates_list2, specific_multiples_full)
mt_p_values_extended = calculate_p_values(mt_dates_extended, specific_multiples_full)

Convert results to DataFrames for better visualization

mt_p_values_list1_df = pd.DataFrame.from_dict(mt_p_values_list1, orient=’index’, columns=[‘Connections’, ‘Expected Connections’, ‘P-value’])
mt_p_values_list2_df = pd.DataFrame.from_dict(mt_p_values_list2, orient=’index’, columns=[‘Connections’, ‘Expected Connections’, ‘P-value’])
mt_p_values_extended_df = pd.DataFrame.from_dict(mt_p_values_extended, orient=’index’, columns=[‘Connections’, ‘Expected Connections’, ‘P-value’])

Display the DataFrames

print(“MT Specific Multiples Full Analysis – List 1”)
print(mt_p_values_list1_df)
print(“\nMT Specific Multiples Full Analysis – List 2”)
print(mt_p_values_list2_df)
print(“\nMT Specific Multiples Full Analysis – Extended List”)
print(mt_p_values_extended_df)

---

MT Specific Multiples Full Analysis – Extended List

This table provides an organized presentation of the connections, expected connections, and P-values for each multiple in the MT Specific Multiples

Multiple	Connections	Expected Connections	P-value
1	210	210	1.000000e+00
5	75	42.000000	8.796663e-08
7	35	30.000000	1.859718e-01
8	27	26.250000	4.688152e-01
10	53	21.000000	2.030453e-10
15	29	14.000000	1.675134e-04
16	12	13.125000	6.662573e-01
17	10	12.352941	7.951632e-01
18	10	11.666667	7.344979e-01
19	16	11.052632	8.964385e-02
20	27	10.500000	7.564674e-06
23	9	9.130435	5.646754e-01
25	16	8.400000	1.089575e-02
35	11	6.000000	4.024712e-02
40	19	5.250000	1.790790e-06
46	5	4.565217	4.813978e-01
49	5	4.285714	4.273657e-01
50	9	4.200000	2.656265e-02
69	6	3.043478	8.688058e-02
70	6	3.000000	8.246501e-02
77	1	2.727273	9.357605e-01
80	8	2.625000	5.302023e-03
100	5	2.100000	6.117810e-02
120	6	1.750000	8.812955e-03
160	7	1.312500	3.994654e-04
161	1	1.304348	7.297521e-01
200	2	1.050000	2.826730e-01
280	1	0.750000	5.282672e-01
360	1	0.583333	4.424176e-01
400	1	0.525000	4.088334e-01

---

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

Investigating Multiples of Seven and Ten: From Jacob to the Exodus/Conquest (1446 & 1406 BC)

A Comprehensive Examination of MT, LXX, SP, and Cumulative Chronologies

Explanation of the Multiple Search Analysis:

To maintain statistical integrity and avoid artificially inflating the P-value for multiples of seven, we apply the following criteria in our event selection:

1. We exclude the seven years of Plenty and the seven years of Famine.
2. For Jacob’s wedding, we only include the first seven years and omit the second seven years for Leah.
3. We include Joseph’s birth but not the completion of Jacob’s 14 years of service.
4. Esau’s wedding date is consistently included.
5. Jacob and Esau’s birth is recorded as a single event, not two separate ones.

These guidelines ensure that our analysis does not overrepresent events that are inherently multiples of seven, allowing for a more accurate assessment of the chronological patterns.

For the full list of dates, see:
490d.com/mt-lxx-sp-sp215-regular-short-chronology-table/

490d.com/mt-lxx-sp-lifespan-accumulative-long-chronology-table/

P-values for MT, LXX, and SP

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MT Dates:
Description MT Date
Birth of Jacob / Birth of Esau 2006 BC
Death of Abraham 1991 BC
Esau marries 1966 BC
Death of Shem=End of era 1956 BC
Start of Jacob working for wives / Jacob flees Esau 1929 BC
End of Jacob working for wives 1922 BC
Birth of Levi 1919 BC
Birth of Joseph 1915 BC
Jacob returns to Canaan 1909 BC
Joseph sold as slave 1898 BC
Death of Isaac 1886 BC
Marriage of Joseph and start of 7-yr plenty 1885 BC
Start of 7-yr famine 1878 BC
Start of Israelites in Egypt 1876 BC
End of 7 years famine 1871 BC
Death of Jacob 1859 BC
Death of Joseph 1805 BC
Death of Levi 1782 BC
End of Israelites in Egypt 1446 BC
Conquest 1406 BC

MT Dates:

Description	MT Date
Birth of Jacob / Birth of Esau	2006 BC
Esau marries	1966 BC
Start of Jacob working for wives / Jacob flees Esau	1929 BC
End of Jacob working for wives	1922 BC
Birth of Levi	1919 BC
Birth of Joseph	1915 BC
Jacob returns to Canaan	1909 BC
Start of Israelites in Egypt	1876 BC
End of 7 years famine	1871 BC
Death of Jacob	1859 BC
Death of Joseph	1805 BC
Death of Levi	1782 BC
End of Israelites in Egypt	1446 BC
Conquest	1406 BC

P-values for MT

Multiple	MT P-value
2	0.799094
3	0.733087
4	0.420358
5	0.358075
6	0.910063
7	0.000002
8	0.243417
9	0.947195
10	0.000579
11	0.592629
12	0.779457
13	0.161235
14	0.012603
40	0.007948
70	0.010040
77	0.115441
100	0.231009

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LXX Dates:

Description	LXX Date
Birth of Jacob / Birth of Esau	1973 BC
Esau marries	1933 BC
Start of Jacob working for wives / Jacob flees Esau	1896 BC
End of Jacob working for wives	1889 BC
Birth of Levi	1886 BC
Birth of Joseph	1882 BC
Jacob returns to Canaan	1876 BC
Start of Israelites in Egypt	1843 BC
End of 7 years famine	1838 BC
Death of Jacob	1826 BC
Death of Joseph	1772 BC
Death of Levi	1749 BC
End of Israelites in Egypt	1446 BC
Conquest	1406 BC

P-values for LXX

Multiple	LXX P-value
2	0.500000
3	0.733087
4	0.420358
5	0.191645
6	0.849678
7	0.000016
8	0.714864
9	0.890907
10	0.000072
11	0.592629
12	0.884598
13	0.265516
14	0.012603
40	0.078340
70	0.010040
77	0.115441
100	0.599315

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SP Dates:

Description	SP Date
Birth of Jacob / Birth of Esau	1791 BC
Esau marries	1751 BC
Start of Jacob working for wives / Jacob flees Esau	1714 BC
End of Jacob working for wives	1707 BC
Birth of Levi	1704 BC
Birth of Joseph	1700 BC
Jacob returns to Canaan	1694 BC
Start of Israelites in Egypt	1661 BC
End of 7 years famine	1656 BC
Death of Jacob	1644 BC
Death of Joseph	1590 BC
Death of Levi	1567 BC
End of Israelites in Egypt	1446 BC
Conquest	1406 BC

P-values for SP

Multiple	SP P-value
2	0.500000
3	0.480289
4	0.611714
5	0.358075
6	0.671310
7	0.000016
8	0.468305
9	0.693330
10	0.068291
11	0.203135
12	0.884598
13	0.265516
14	0.012603
40	0.398240
70	0.141718
77	0.006830
100	0.599315

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Cumulative Lifespan Chronology Analysis

For the full list of dates, see:
490d.com/mt-lxx-sp-sp215-regular-short-chronology-table/

490d.com/mt-lxx-sp-lifespan-accumulative-long-chronology-table/

Lists of Dates and P-values for Cumulative Sets

Cumulative Set 1 Dates:

Description	Date
Jacob lived 147 years	2083 BC
Levi lived 137 years	1936 BC
Kohath lived 133 years	1799 BC
End of Israelites in Egypt	1446 BC
Conquest	1406 BC

P-values for Cumulative Set 1

Multiple	P-value
7	0.161605
10	0.070191
70	0.134015

Cumulative Set 2 Dates:

Description	Date
Jacob lived 147 years	2080 BC
Levi lived 137 years	1933 BC
Kohath lived 133 years	1796 BC
End of Israelites in Egypt	1446 BC
Conquest	1406 BC

P-values for Cumulative Set 2

Multiple	P-value
7	0.429178
10	0.070191
70	0.134015

Cumulative Set 3 Dates:

Description	Date
Jacob lived 147 years	2085 BC
Levi lived 137 years	1938 BC
Kohath lived 133 years	1781 BC
End of Israelites in Egypt	1446 BC
Conquest	1406 BC

P-values for Cumulative Set 3

Multiple	P-value
7	0.161605
10	0.651322
70	1.000000

Cumulative Set 4 Dates:

Description	Date
Jacob lived 147 years	2078 BC
Levi lived 137 years	1931 BC
Kohath lived 133 years	1794 BC
End of Israelites in Egypt	1446 BC
Conquest	1406 BC

P-values for Cumulative Set 4

Multiple	P-value
7	0.161605
10	0.651322
70	1.000000

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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”).

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

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