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%I #8 Feb 07 2024 09:01:02
%S 2,3,7,8,23,27,29,30,37,42,47,59,60,61,63,64,71,72,78,80,83,97,99,103,
%T 104,105,107,110,111,114,122,137,138,139,149,153,162,170,171,173,179,
%U 182,189,194,207,208,211,222,226,227,231,237,238,240,246,248,255,258,260,261,263,264,266,268,269
%N 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.
%H Scott R. Shannon, <a href="/A369350/b369350.txt">Table of n, a(n) for n = 1..10000</a>
%e 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).
%e 4 is not a term as 16 - 4 = 12 and sopfr(16) + sopfr(4) = 8 + 4 = 12. Therefor 16 is not a term either.
%Y Cf. A001414, A369348, A369349, A369351, A369352, A369353.
%K nonn
%O 1,1
%A _Scott R. Shannon_, Jan 21 2024
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