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Jun 13, 2015 at 4:56 comment added The Masked Avenger You can do it by hand, but it would take a while. Factor 2*2953 + 1 as 3 * 11 * 179, and consider those terms which are multiples of 3 or 11 or 179 separately. Or as Robert Israel commented, work modulo each prime.
Jun 13, 2015 at 2:43 comment added Destiny freedom can you prove $(2953\times 2+1)|\binom{2\cdot 2953}{2953}+1$ by hand?
Jun 13, 2015 at 2:26 history answered Robert Israel CC BY-SA 3.0