A369353 Numbers k such that there exists a number p such that k - p = sopfr(k) + sopfr(p) but 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.

16, 24, 32, 36, 70, 75, 81, 96, 126, 128, 140, 156, 174, 175, 186, 190, 195, 196, 198, 200, 224, 225, 242, 245, 280, 288, 315, 325, 340, 348, 350, 351, 357, 370, 385, 405, 425, 434, 442, 450, 456, 472, 475, 480, 481, 483, 507, 510, 518, 539, 544, 546, 549, 550, 574, 582, 595, 602, 616, 620, 624

Offset

1,1

Comments

These numbers terminate the different series given in A369349.

Links

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

Example

16 is a term as 16 - 4 = 12 and sopfr(16) + sopfr(4) = 8 + 4 = 12, but no number q exists such that q - 16 = sopfr(q) + sopfr(16).

Crossrefs

Cf. A001414, A369348, A369349, A369350, A369351, A369352.

Sequence in context: A225903 A033987 A140349 * A088493 A074451 A253782

Adjacent sequences: A369350 A369351 A369352 * A369354 A369355 A369356

Keyword

nonn

Author

Scott R. Shannon, Jan 25 2024

Status

approved