A369356 Numbers k such that no number p exists such that k - p = sopfr(k + p) and no number q exists such that q - k = sopfr(q + k), where sopfr(m) is the sum of the primes dividing m, with repetition.

2, 3, 6, 8, 14, 16, 22, 29, 32, 33, 34, 37, 39, 47, 48, 50, 51, 52, 54, 56, 58, 59, 61, 63, 66, 69, 72, 77, 81, 83, 84, 85, 86, 91, 93, 94, 95, 97, 98, 99, 103, 110, 116, 117, 118, 124, 134, 135, 137, 138, 139, 144, 146, 147, 160, 162, 164, 166, 168, 171, 173, 178, 179, 187, 188, 189, 196, 203

Offset

1,1

Links

Scott R. Shannon, Table of n, a(n) for n = 1..10000

Example

22 is a term as there is no number p such that p - 22 = sopfr(p + 22) and there is no number q such that q - 22 = sopfr(q + 22).
4 is not a term as 12 - 4 = 8 and sopfr(12 + 4) = sopfr(16) = 8. Therefore 12 is not a term either.

Crossrefs

Cf. A001414, A369354, A369355, A369357, A369812, A369981, A369348, A369349.

Sequence in context: A153918 A376597 A308909 * A378790 A308958 A326450

Adjacent sequences: A369353 A369354 A369355 * A369357 A369358 A369359

Keyword

nonn

Author

Scott R. Shannon, Jan 25 2024

Status

approved