Tuesday, February 2, 2016

On Cosmic and Special Numbers

We can write the first four equations of Ayil Meshulash as follows:

10! + 152 = (15*(128-1))2
14! + 4202 = (420*(704-1))2
11! + 182 = (18*(352-1))2
13! + 2882 = (288*(275-1))2

and rewrite them as:

10! + 2*152*128 = (15*128)2
14! + 2*4202*704 = (420*704)2
11! + 2*182*352 = (18*352)2
13! + 2*2882*275 = (288*275)2

This is similar to the rewriting of the fifth equation:

15! + (16*29)2 = (16*71471)2, which is
15! + (16*29)2 = (16*(71500-29))2, which is
15! + 2*162*29*71500 = (16*71500)2, which is
15! + 29*29*71500 = (16*71500)2

or:
15!/210 + 29*35750 = 357502

or:
15!*2-10 + 29*35750 = 357502

or:
16!*2-14 + 29*35750 = 357502

or, perhaps, allowing halves:
16!*2-16 + 14.5*17875 = 178752

Just like this led us conclude that 35750 (17875) is a cosmic number, the number 29 (14.5) is a cosmic number, and 128, 275, 352, and 704, are special numbers as well. We note that 352 = 704/2 and that 5501 + 275 is the current year, 5776.