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A088878 Prime numbers p such that 3p-2 is a prime. +0
27
3, 5, 7, 11, 13, 23, 37, 43, 47, 53, 61, 67, 71, 103, 113, 127, 137, 163, 167, 181, 191, 193, 211, 251, 257, 263, 271, 277, 293, 307, 313, 331, 337, 347, 373, 401, 431, 433, 443, 461, 467, 487, 491, 523, 541, 557, 587, 593, 601, 673, 677, 727, 751, 757, 761 (list; graph; listen)
OFFSET

1,1

COMMENT

Indices of semiprime octagonal numbers. - Jonathan Vos Post (jvospost2(AT)yahoo.com), Feb 16 2006

Daughter primes of order 1. - Artur Jasinski (grafix(AT)csl.pl), Dec 12 2007

REFERENCES

M. Cerasoli, F. Eugeni and M. Protasi, Elementi di Matematica Discreta, Bologna 1988

Emanuele Munarini and Norma Zagaglia Salvi, Matematica Discreta,UTET, CittaStudiEdizioni, Milano 1997

LINKS

Eric Weisstein's World of Mathematics, Octagonal Number.

Eric Weisstein's World of Mathematics, Semiprime.

FORMULA

n such that n*(3*n-2) is semiprime. n such that A000567(n) is an element of A001358. n such that A001222(A000567(n)) = 2. n such that [(3*n-2)*(3*n-1)*(3*n)]/[(3*n-2)+(3*n-1)+(3*n)] is semiprime. n such that n is prime and (3*n-2) is prime. - Jonathan Vos Post (jvospost2(AT)yahoo.com), Feb 16 2006

MATHEMATICA

n = 1; a = {}; Do[If[PrimeQ[(Prime[k] + 2n)/(2n + 1)], AppendTo[a, (Prime[k] + 2n)/(2n + 1)]], {k, 1, 500}]; a - Artur Jasinski (grafix(AT)csl.pl), Dec 12 2007

CROSSREFS

Cf. A091179, A091180, A091181.

Cf. A000040, A000567, A001222, A001358.

Cf. A136019, A136020.

Sequence in context: A040140 A066651 A080114 this_sequence A038979 A093988 A108817

Adjacent sequences: A088875 A088876 A088877 this_sequence A088879 A088880 A088881

KEYWORD

easy,nonn

AUTHOR

Giovanni Teofilatto (g.teofilatto(AT)tiscalinet.it), Nov 27 2003

EXTENSIONS

Corrected and extended by Ray Chandler (rayjchandler(AT)sbcglobal.net), Dec 27 2003

Entry revised by njas, Nov 28 2006

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Last modified July 26 13:41 EDT 2008. Contains 142293 sequences.


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