A227757 Numbers n such that antisigma(n) = antisigma(n+1) + 12; where antisigma(n) = A024816(n).

23, 29, 41, 53, 101, 113, 137, 173, 257, 281, 317, 353, 401, 617, 641, 653, 677, 761, 821, 941, 977, 1181, 1193, 1359, 1361, 1373, 1433, 1613, 1697, 1877, 1901, 2081, 2153, 2237, 2273, 2297, 2333, 2381, 2633, 2657, 2693, 2741, 2777, 2801, 3137, 3413, 3461, 3557

Offset

1,1

Comments

Supersequence of A227756 (primes p such that sigma(p+1) = 2*p+14).

The composites in this sequence are rare: 1359, 453967, ... (no more up to 10^6).

Links

Jaroslav Krizek, Table of n, a(n) for n = 1..500

Example

1359 is in sequence because antisigma(1359) = 922144 = antisigma(1360) + 12 = 922132 + 12.

Prog

(PARI) is(n)=sigma(n+1)-sigma(n)==n+13 \\ Charles R Greathouse IV, Nov 25 2014

Crossrefs

Cf. A024816, A227756.

Sequence in context: A050207 A162658 A303009 * A227756 A007637 A161723

Adjacent sequences: A227754 A227755 A227756 * A227758 A227759 A227760

Keyword

nonn

Author

Jaroslav Krizek, Jul 26 2013

Status

approved