login
A369352
Numbers k such that there exists a number p where p - k = sopfr(p) + sopfr(k), where sopfr(m) is the sum of the primes dividing m, with repetition.
6
1, 4, 5, 6, 9, 10, 11, 12, 13, 14, 15, 17, 18, 19, 20, 21, 22, 25, 26, 28, 31, 33, 34, 35, 38, 39, 40, 41, 43, 44, 45, 46, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 62, 65, 66, 67, 68, 69, 73, 74, 76, 77, 79, 82, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 98, 100, 101, 102, 106, 108, 109
OFFSET
1,2
LINKS
EXAMPLE
1 is a term as 6 - 1 = 5 and sopfr(6) + sopfr(1) = 5 + 0 = 5. See A369348 for further details.
4 is a term as 16 - 4 = 12 and sopfr(16) + sopfr(4) = 8 + 4 = 12.
CROSSREFS
KEYWORD
nonn
AUTHOR
Scott R. Shannon, Jan 25 2024
STATUS
approved