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A136026 Smallest prime of the form (2*n+1)*prime(k)+2*n, any k. 34
11, 19, 41, 53, 43, 103, 59, 67, 113, 83, 137, 149, 107, 173, 433, 131, 139, 443, 233, 163, 257, 179, 281, 293, 1019, 211, 439, 227, 353, 487, 251, 389, 401, 827, 283, 1021, 449, 307, 631, 647, 331, 509, 347, 1601, 727, 557, 379, 1163, 593, 2423, 617, 419, 641 (list; graph; refs; listen; history; internal format)
OFFSET

1,1

COMMENTS

The associated prime(k) are in A136027.

EXAMPLE

a(1)=11 because 11 is smallest prime p such that (p-2)/3 is prime.

a(2)=19 because 19 is smallest prime p such that (p-4)/5 is prime.

a(3)=41 because 41 is smallest prime p such that (p-6)/7 is prime.

MATHEMATICA

a = {}; Do[k = 1; While[ !PrimeQ[(Prime[k] - 2n)/(2n + 1)], k++ ]; AppendTo[a, Prime[k]], {n, 1, 100}]; a

CROSSREFS

Cf. A136019, A136020, A136027.

Sequence in context: A117873 A076853 A167475 * A033201 A154386 A066738

Adjacent sequences:  A136023 A136024 A136025 * A136027 A136028 A136029

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 February 15 15:20 EST 2012. Contains 205823 sequences.