A383925 Primes of the form (m^(p^2) - 1)/(m^p - 1) with prime p and integer m >= 2.
5, 17, 37, 73, 101, 197, 257, 401, 577, 677, 757, 1297, 1601, 2917, 3137, 4357, 5477, 7057, 8101, 8837, 12101, 13457, 14401, 15377, 15877, 16901, 17957, 21317, 22501, 24337, 25601, 28901, 30977, 32401, 33857, 41617, 42437, 44101, 50177, 52901, 55697, 57601, 62501, 65537, 67601, 69697
Offset: 1