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A136019 Smallest prime of the form (prime(k)+2*n)/(2*n+1), any k. +0
56
3, 3, 5, 3, 3, 5, 3, 7, 11, 3, 3, 5, 5, 3, 11, 3, 3, 5, 3, 3, 5, 5, 7, 5, 3, 3, 7, 5, 13, 7, 3, 3, 5, 3, 13, 5, 3, 7, 5, 3, 3, 13, 5, 3, 7, 5, 3, 5, 3, 7, 7, 3, 7, 11, 3, 3, 5, 11, 3, 7, 7, 3, 5, 11, 3, 13, 3, 7, 5, 3, 7, 11, 7, 13, 7, 3, 3, 11, 23, 7, 5, 3, 31, 5, 13, 3, 5, 5, 3, 7, 3, 13, 7, 3, 3, 5, 7 (list; graph; listen)
OFFSET

1,1

COMMENT

The associated prime(k) are in A136020.

EXAMPLE

a(1)=3 because 3 is smallest prime of the form (p+2)/3; in this case prime(k)=7.

a(2)=3 because 3 is smallest prime of the form (p+4)/5; in this case prime(k)=11.

a(3)=5 because 5 is smallest prime of the form (p+6)/7; in this case prime(k)=29.

MATHEMATICA

a = {}; Do[k = 1; While[ !PrimeQ[(Prime[k] + 2n)/(2n + 1)], k++ ]; AppendTo[a, (Prime[k] + 2n)/(2n + 1)], {n, 1, 200}]; a

CROSSREFS

Cf. A136020, A136026, A136027.

Sequence in context: A054906 A020483 A138479 this_sequence A063714 A113965 A162277

Adjacent sequences: A136016 A136017 A136018 this_sequence A136020 A136021 A136022

KEYWORD

nonn,easy

AUTHOR

Artur Jasinski (grafix(AT)csl.pl), Dec 10 2007

EXTENSIONS

Edited by R. J. Mathar (mathar(AT)strw.leidenuniv.nl), May 17 2009

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Last modified November 22 15:28 EST 2009. Contains 167310 sequences.


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