[seqfan] 3, 277,

[юрий герасимов]

Dear SeqFans, that is the other prime solution to (k^(k+6)+(k+6)^k) == 0 mod
(k(k+6)+1)? Thanks you. юрий герасимов P.S. (i) where prime solutons m to
(m^3+3^m) == 0 mod (3m+1) are 5, 7, 13, 53, 109, 193, 613, 1093, 9293, 2101,
29173, 67547, 71453, 88897, 159013, 211313, 319477, 405413, 490277, ...(ii)
primes p such that pq+1 does not divide p^q+q^p where prime q < p: 2, 3, 11, 29,
173, 347, 443, 507, 541, 547, 653, 677, 761, 877, 907, 1031, 1123, 1163, 1193,
1249, 1289, 1373, 1487, 1523, 1579, 1607, 1777, 1787, 1913, 2111, 2179, 2203,
2207, 2213, 2237, 2297, 2417, 2459, 2477, ...