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  1. #1
    Join Date
    Aug 2011
    Location
    France
    Posts
    15

    a property of 2701

    I came today to study sets of four triangular numbers such as
    a+b = c
    b+c = d
    The first examples are
    6-15-21-36
    66-105-171-276
    The first case in which a is bigger than b is
    2701-1485-4186-5671
    i.e. triangular numbers 73-54-91-106.

    This means 106th triangular 5671 can be looked as
    54 rows = 1485
    37 rows = 2701
    15 rows = 1485
    or
    73 rows = 2701
    33 rows = 2970

    I checked on Gematria Database there are 4 verses with gematria 1485, 3 with 2970, 7 with 2701, 3 with 5671 (none with 4186).

    I wondered if this had already been studied, and yes, this is on the OEIS
    https://oeis.org/A185243

  2. #2
    Join Date
    Dec 2008
    Posts
    230
    Hi there.

    That's an interesting observation about 2701. Both 2701 and 1485 are found in consecutive word strings at the beginning of Gen. 1, 1485 being the sum of words 15 to 18 (451, 220, 86, 728).

    The sum of words 8 to 14 in Gen. 1 is 1726, which is the trefoil created from triangle 2485 (T70).

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