A365294 a(n) is the least positive integer that can be expressed as the sum of a prime number and a perfect power in exactly n ways.

1, 3, 6, 11, 27, 38, 105, 128, 248, 227, 398, 572, 692, 668, 902, 908, 1172, 1448, 2288, 1748, 1592, 2483, 3167, 3932, 3902, 3737, 4457, 3632, 5843, 6443, 6233, 8048, 6992, 5297, 8678, 6368, 8888, 10688, 9908, 8153, 8777, 13163, 14222, 16463, 14528, 14948

Offset

0,2

Links

Table of n, a(n) for n=0..45.

Example

For n = 3: 11 = 2 + 3^2 = 3 + 2^3 = 7 + 2^2.

Crossrefs

Cf. A000040, A001597, A119748, A196228.

Sequence in context: A369691 A000998 A331536 * A221182 A109781 A360888

Adjacent sequences: A365291 A365292 A365293 * A365295 A365296 A365297

Keyword

nonn

Author

Ilya Gutkovskiy, Aug 31 2023

Status

approved