A369350 Numbers k such that no number p exists such that k - p = sopfr(k) + sopfr(p) and no number q exists such that q - k = sopfr(q) + sopfr(k), where sopfr(m) is the sum of the primes dividing m, with repetition.

2, 3, 7, 8, 23, 27, 29, 30, 37, 42, 47, 59, 60, 61, 63, 64, 71, 72, 78, 80, 83, 97, 99, 103, 104, 105, 107, 110, 111, 114, 122, 137, 138, 139, 149, 153, 162, 170, 171, 173, 179, 182, 189, 194, 207, 208, 211, 222, 226, 227, 231, 237, 238, 240, 246, 248, 255, 258, 260, 261, 263, 264, 266, 268, 269

Offset

1,1

Links

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

Example

23 is a term as there is no number p such that p - 23 = sopfr(p) + sopfr(23) and there is no number q such that q - 23 = sopfr(q) + sopfr(23).
4 is not a term as 16 - 4 = 12 and sopfr(16) + sopfr(4) = 8 + 4 = 12. Therefor 16 is not a term either.

Crossrefs

Cf. A001414, A369348, A369349, A369351, A369352, A369353.

Sequence in context: A029785 A045545 A029790 * A206725 A129645 A324481

Adjacent sequences: A369347 A369348 A369349 * A369351 A369352 A369353

Keyword

nonn

Author

Scott R. Shannon, Jan 21 2024

Status

approved