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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.
6
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
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.
KEYWORD
nonn
AUTHOR
Scott R. Shannon, Jan 25 2024
STATUS
approved