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COMMENTS
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a(n) is divisible by (n - 1). Corresponding quotients are a(n)/(n - 1) = {1, 3, 13, 85, 781, 9331, ...} = A023037(n). p divides a(p-1) for prime p. p divides a((p-1)/2) for prime p = {3,11,17,19,41,43,59,67,73,83,89,97,...} = A033200 Primes congruent to {1, 3} mod 8; or, odd primes of form x^2+2*y^2. p divides a((p-1)/3) for prime p = {61,67,73,103,151,193,271,307,367,...} = A014753 3 and -3 are both cubes (one implies other) mod these primes p=1 mod 6. p divides a((p-1)/4) for prime p = {5,13,17,29,37,41,53,61,73,...} = A002144 Pythagorean primes: primes of form 4n+1. p divides a((p-1)/5) for prime p = {31,191,251,271,601,641,761,1091,...}. p divides a((p-1)/6) for prime p = {7,241,313,337,409,439,607,631,727,751,919,937,...}. - Alexander Adamchuk, Jan 22 2007
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