Blaise Pascal (19 June 1623 ? 19 August 1662)
https://en.wikipedia.org/wiki/Blaise_PascalIt is known that a sum of all elements in p high rows of the Pascal's Triangle each raised to the (p-1) power is divisible by p for all prime p.A181990 = Sum_{0 <= k <= m < p} (binomial(m, k)^(p - 1))/p, where p is the n-th prime.Prove that for p = 3 and 7 (and their powers like 3,9,27,... and 7,49,...) the sums of all elements in n = p^k high rows of the Pascal's Triangle each raised to the (n-1) = (p^k-1) power are divisible by n^2 = p^(2k) for all k>0.