# Thread: a property of 2701

1. Junior Member
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. Senior Member
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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