A015949 -id:A015949 - cp's OEIS frontend

A092408 Numbers k that divide 3^(k^3) + 1.

1, 2, 34, 386, 578, 6562, 9826, 74498, 111554, 167042, 1100546, 1192354, 1266466, 1896418, 2839714, 14378114, 18709282, 20270018, 21529922, 32239106, 35759426, 48275138, 191812802, 212405378, 230124322, 244427938, 318057794, 344590306

Offset: 1

Robert G. Wilson v, Apr 02 2004

nonn

It appears that all numbers of the form 2*17^m are present.

Cf. A015949, A093546, A093666.

Select[ Range[ 350000000], PowerMod[3, #^3, # ] +1 == # &]

A093666 Numbers n such that n | 3^n^2 + 1.

Original entry on oeis.org

1, 2, 82, 3362, 137842, 188354, 5651522, 7722514, 13232914, 231712402, 316623074, 432649138, 542549474, 1196468642, 2650762258, 9500208482, 12981546034, 17738614658, 22244528434, 30396003458, 49055214322, 108681252578, 389508547762, 532243387394, 727283200978, 912025665794, 993795069986

Offset: 1

Robert G. Wilson v, Apr 02 2004

nonn

If n is a term and p is its odd prime divisor, then p*n is also a term. In particular, the sequence contains 2*41^k and 2*41*2297^k for all k>=1.

Cf. A015949, A092408, A093546.

Select[ Range[ 250000000], PowerMod[3, #^2, # ] +1 == # & ]

Terms a(11) onward from Max Alekseyev, Feb 13 2012

cp's OEIS Frontend

A092408 Numbers k that divide 3^(k^3) + 1.

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