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Numbers k such that there exists a number p where p - k = sopfr(p + k), where sopfr(m) is the sum of the primes dividing m, with repetition.
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%I #32 Feb 11 2024 09:18:48

%S 1,4,5,9,10,11,13,15,17,19,24,25,26,28,30,31,35,40,41,43,45,46,49,53,

%T 55,57,62,65,67,68,70,73,74,75,76,79,80,82,87,89,90,92,100,101,105,

%U 106,109,112,113,114,115,119,120,121,122,123,125,127,129,130,131,136,143,145,150,151,154,155

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

%H Scott R. Shannon, <a href="/A369981/b369981.txt">Table of n, a(n) for n = 1..10000</a>

%e 1 is a term as 7 - 1 = 6 and sopfr(7 + 1) = sopfr(8) = 6.4 is a term as 12 - 4 = 8 and sopfr(12 + 4) = sopfr(16) = 8.

%Y Cf. A001414, A369354, A369355, A369356, A369357, A369812, A369348, A369349.

%K nonn

%O 1,2

%A _Scott R. Shannon_, Feb 11 2024