Pattern 98: Word Values and Positions in ln(3)

Why this pattern matters

The fourth Hebrew word has a traditional value of 401 and a Hebrew alphabet-position value of 23, producing 40123. The sixth Hebrew word similarly produces 40729. In this pattern, the digits of 40123 are used as offsets into ln(3), and the five digits retrieved are exactly 40729.

The starting position 777 and the repeated addition of 7 connect the calculation with the recurring sevens examined throughout this pattern sequence.

How this pattern is measured

Concatenate the traditional value and Hebrew alphabet-position value of word 4:

Start with position 777. For each digit of 40123, add that digit and 7 to the preceding position:

The digits of ln(3) at decimal positions 788, 795, 803, 812, and 822 are respectively 4, 0, 7, 2, and 9. Together they form 40729.

The decimal digits are counted after the decimal point. The integer portion and decimal point are not included.

Result for Genesis 1:1

Read detail page for Pattern 98

Probability note

If the five selected decimal digits are modeled as independent and uniformly distributed, the probability of obtaining the specified five-digit sequence 40729 is approximately:

This is a simple digit-matching estimate for this pattern alone. It does not account for alternative starting points, offset rules, word pairs, or other procedures that might have been examined before this rule was selected.

The highlighted entries show the traditional values and Hebrew alphabet-position values of words 4 and 6. These produce the two five-digit numbers used in the calculation: 401 + 23 → 40123 and 407 + 29 → 40729.