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A227756 Primes p such that antisigma(p) = antisigma(p+1) + 12, where antisigma = A024816. 6
23, 29, 41, 53, 101, 113, 137, 173, 257, 281, 317, 353, 401, 617, 641, 653, 677, 761, 821, 941, 977, 1181, 1193, 1361, 1373, 1433, 1613, 1697, 1877, 1901, 2081, 2153, 2237, 2273, 2297, 2333, 2381, 2633, 2657, 2693, 2741, 2777, 2801, 3137, 3413, 3461, 3557 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Primes p such that sigma(p + 1) = 2*p + 14.

This is the subsequence of primes in A227757.

Also primes p such that sigma(sigma(p)) - sigma(p) - p = 13 (see A227758). The composite numbers with this property are 333, 37377, 972691, 1089871,...

LINKS

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

EXAMPLE

The prime 41 is in sequence because antisigma(41) = 819 = antisigma(42) + 12 = 807 + 12.

CROSSREFS

Cf. A024816, A227757, A051027.

Sequence in context: A162658 A303009 A227757 * A007637 A161723 A085448

Adjacent sequences:  A227753 A227754 A227755 * A227757 A227758 A227759

KEYWORD

nonn

AUTHOR

Jaroslav Krizek, Jul 26 2013

STATUS

approved

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Last modified January 16 15:21 EST 2021. Contains 340206 sequences. (Running on oeis4.)