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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.
6
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
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
KEYWORD
nonn
AUTHOR
Scott R. Shannon, Jan 21 2024
STATUS
approved