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A116612 Values of n such that p(2n+1) mod 12 = 1, where p(j) denotes the j-th prime. +0
6
10, 12, 14, 18, 26, 29, 32, 60, 63, 72, 73, 75, 79, 84, 91, 93, 94, 95, 98, 101, 105, 110, 115, 118, 125, 128, 131, 135, 136, 137, 139, 143, 147, 150, 159, 165, 168, 169, 170, 173, 177, 180, 184, 187, 195, 200, 203, 205, 207, 212, 215, 217, 218, 221, 222, 224 (list; graph; listen)
OFFSET

1,1

FORMULA

A116612 = integer part of 1/2 * { odd terms in A160594 = A000720(A068228) } [From M. F. Hasler (MHasler(AT)univ-ag.fr), May 22 2009]

EXAMPLE

29 is in the sequence because the 59-th prime is 277 and 277 mod 12=1.

MAPLE

a:=proc(n) if ithprime(2*n+1) mod 12 = 1 then n else fi end: seq(a(n), n=0..250);

PROGRAM

(PARI) for(n=1, 999, prime(2*n+1)%12==1 & print1(n", ")) \\\\ [From M. F. Hasler (MHasler(AT)univ-ag.fr), May 22 2009]

CROSSREFS

Cf. A116602, A116610, A116613-A116617, A160591-A160594. [From M. F. Hasler (MHasler(AT)univ-ag.fr), May 22 2009]

Sequence in context: A007958 A092132 A088170 this_sequence A068502 A109959 A161990

Adjacent sequences: A116609 A116610 A116611 this_sequence A116613 A116614 A116615

KEYWORD

nonn

AUTHOR

Roger L. Bagula (rlbagulatftn(AT)yahoo.com), Mar 29 2006

EXTENSIONS

Edited by N. J. A. Sloane (njas(AT)research.att.com), Apr 05 2006

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Last modified December 5 17:24 EST 2009. Contains 170342 sequences.


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