A369352 Numbers k such that there exists a number p where p - k = sopfr(p) + sopfr(k), where sopfr(m) is the sum of the primes dividing m, with repetition.

1, 4, 5, 6, 9, 10, 11, 12, 13, 14, 15, 17, 18, 19, 20, 21, 22, 25, 26, 28, 31, 33, 34, 35, 38, 39, 40, 41, 43, 44, 45, 46, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 62, 65, 66, 67, 68, 69, 73, 74, 76, 77, 79, 82, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 98, 100, 101, 102, 106, 108, 109

Offset

1,2

Links

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

Example

1 is a term as 6 - 1 = 5 and sopfr(6) + sopfr(1) = 5 + 0 = 5. See A369348 for further details.
4 is a term as 16 - 4 = 12 and sopfr(16) + sopfr(4) = 8 + 4 = 12.

Crossrefs

Cf. A001414, A369348, A369349, A369350, A369351, A369353.

Sequence in context: A049466 A196551 A139546 * A308886 A029776 A064931

Adjacent sequences: A369349 A369350 A369351 * A369353 A369354 A369355

Keyword

nonn

Author

Scott R. Shannon, Jan 25 2024

Status

approved