

A160514


The sequence is: 2^8, 3^2, 5^2, 7^2, 10939058860032031^2 where 10939058860032031 is prime and where its order is an integer 337736875876935471466319632507953926400 and is equal to ((640320)^3 + 744)^2 * 70^2 where (640320)^3 + 744 is an integer value which is nearly Ramanujan's constant and 1^2 + 2^2 + 3^2 + ... + 22^2 + 23^2 + 24^2 = 70^2 which is related to the norm vector 0 used in construction of the Leech lattice.


4




OFFSET

1,1


COMMENTS

The prime number 10939058860032031 = 2^15, 3^2, 5^3, 23^3, 29^3 + 31 Ramanujan's constant: e^(Pi*sqrt(163))= 640320^3 + 743.99999999999925 = A060295.


LINKS

Table of n, a(n) for n=1..5.
M. A. Thomas, Math Ontological Basis of Quasi FineTuning in Ghc Cosmologies, HAL preprint Id: hal01232022, 2015.


FORMULA

(640320^3 + 744)^2 * 70^2 = A160515.


MATHEMATICA

Power[#1, #2] & @@@ FactorInteger[(640320^3 + 744)^2*70^2] (* Michael De Vlieger, Dec 19 2015 *)


CROSSREFS

Sequence in context: A270876 A263166 A139305 * A203813 A133487 A188830
Adjacent sequences: A160511 A160512 A160513 * A160515 A160516 A160517


KEYWORD

nonn,uned,fini,full


AUTHOR

Mark A. Thomas, May 16 2009


EXTENSIONS

Partially edited by R. J. Mathar, May 30 2009


STATUS

approved



