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A369981
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.
6
1, 4, 5, 9, 10, 11, 13, 15, 17, 19, 24, 25, 26, 28, 30, 31, 35, 40, 41, 43, 45, 46, 49, 53, 55, 57, 62, 65, 67, 68, 70, 73, 74, 75, 76, 79, 80, 82, 87, 89, 90, 92, 100, 101, 105, 106, 109, 112, 113, 114, 115, 119, 120, 121, 122, 123, 125, 127, 129, 130, 131, 136, 143, 145, 150, 151, 154, 155
OFFSET
1,2
LINKS
EXAMPLE
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.
KEYWORD
nonn
AUTHOR
Scott R. Shannon, Feb 11 2024
STATUS
approved