A292015 Primes of the form Phi(k, 2), where Phi is the cyclotomic polynomial.
3, 7, 5, 31, 3, 127, 17, 73, 11, 13, 8191, 43, 151, 257, 131071, 524287, 683, 241, 2731, 262657, 331, 2147483647, 65537, 599479, 43691, 174763, 61681, 5419, 2796203, 4432676798593, 15790321, 2305843009213693951, 715827883, 145295143558111, 10052678938039
Offset: 1
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Mathematica
Select[Table[Cyclotomic[k,2], {k, 0, 100}], PrimeQ[#] &]