A297414 -id:A297414 - cp's OEIS frontend

A297413 Numbers k such that 2^m == 2 (mod m*(m-1)), where m=A019320(k).

2, 3, 6, 7, 14, 19, 38, 42, 43, 86, 114, 127, 163, 254, 258, 326, 379, 487, 758, 762, 883, 974, 978, 1459, 1766, 2274, 2647, 2918, 2922, 3079, 3943, 5294, 5298, 5419, 6158, 7886, 8754, 9199, 10838, 11827, 14407, 15882, 16759, 18398, 18474, 18523, 23654, 23658, 24967, 26407, 28814, 32514, 33518, 37046, 37339, 39367

Offset: 1

Max Alekseyev, Dec 29 2017

nonn

Also, numbers k such that A019320(k) belongs to A069051 or A217468.

Cf. A069051, A217468, A297414.

Contains A297412 as a subsequence.

is_A297413(k) = my(m=polcyclo(k,2)); Mod(2,m*(m-1))^m==2;

A297415 Numbers k such that A019320(k) is in A217465.

Original entry on oeis.org

25, 36, 52, 92, 124, 306, 361, 630, 656, 1648, 1780, 2508, 3300, 3540, 5728, 6260, 6450, 7500, 10820, 12656, 14076, 14132, 18836, 20960, 23456, 24272, 35280, 43136

Offset: 1

Max Alekseyev, Dec 29 2017

Cf. A019320, A217465, A297412.

Set difference of A297414 and ({1} U A072226).

is_A297415(n) = my(m=polcyclo(n, 2)); (m>1) && Mod(2, m*(m+1))^m==2 && !ispseudoprime(m);

cp's OEIS Frontend

A297413 Numbers k such that 2^m == 2 (mod m*(m-1)), where m=A019320(k).

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