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A160514
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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.
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4
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OFFSET
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1,1
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COMMENTS
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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.
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LINKS
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Table of n, a(n) for n=1..5.
M. A. Thomas, Math Ontological Basis of Quasi Fine-Tuning in Ghc Cosmologies, HAL preprint Id: hal-01232022, 2015.
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FORMULA
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(640320^3 + 744)^2 * 70^2 = A160515.
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MATHEMATICA
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Power[#1, #2] & @@@ FactorInteger[(640320^3 + 744)^2*70^2] (* Michael De Vlieger, Dec 19 2015 *)
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CROSSREFS
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Sequence in context: A139305 A348431 A351248 * A203813 A133487 A342039
Adjacent sequences: A160511 A160512 A160513 * A160515 A160516 A160517
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KEYWORD
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nonn,uned,fini,full
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AUTHOR
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Mark A. Thomas, May 16 2009
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EXTENSIONS
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Partially edited by R. J. Mathar, May 30 2009
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STATUS
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approved
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