STATUS
editing
approved
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editing
approved
approved
editing
SupercongruencesCongruences: a(n*p^k) == a(n*p^(k-1)) ( mod p^(3*k) ) for any prime p >= 5 and any positive integers n and k (write a(n) as C(5*n,2*n)*C(3*n,n) and apply Mestrovic, equation 39, p. 12). (End)
editing
approved
1, 30, 3150, 420420, 62355150, 9816086280, 1605660228900, 269764879032000, 46225898052627150, 8042050347997165500, 1415997888807961859400, 251762943910387780962000, 45125969443194371927422500, 8143514687130622653091029120, 1478138194032735032800001630400
approved
editing
proposed
approved
editing
proposed
Supercongruences: a(n*p^k) == a(n*p^(k-1)) ( mod p^(3*k) ) for any prime p >= 5 and any positive integers n and k (write a(n) as C(5*n,2*n)*C(3*n,n) and apply Mestrovoc, Mestrovic, equation 39, p. 12). (End)
proposed
editing
editing
proposed
R. Mestrovic, Romeo Meštrović, <a href="http://arxiv.org/abs/1111.3057">Wolstenholme's theorem: Its Generalizations and Extensions in the last hundred and fifty years (1862-2011)</a>, arXiv:1111.3057 [math.NT], 2011.
Supercongruences: a(n*p^k) == a(n*p^(k-1)) ( mod p^(3*k) ) for any prime p >= 5 and any positive integers n and k (write a(n) as C(5*n,2*n)*C(3*n,n) and apply Mestrovoc, equation 39, p. 12). (End)
(End)