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A061068 Primes which are the sum of a smaller prime and its prime subscript. +0
17
3, 5, 11, 19, 79, 101, 113, 127, 163, 173, 223, 271, 383, 419, 431, 503, 571, 599, 619, 641, 659, 673, 683, 701, 733, 757, 827, 863, 971, 1013, 1033, 1087, 1193, 1249, 1423, 1433, 1453, 1483, 1579, 1621, 1667, 1723, 2003, 2113, 2179, 2287, 2381, 2459, 2467 (list; graph; listen)
OFFSET

1,1

COMMENT

a(n) = prime which is A061067(n) + A064402(n). - Leroy Quet (qq-quet(AT)mindspring.com), Jun 30 2006

This sequence is the intersection of A014688 with the set of primes. Conjecture: this sequence is infinite, yet derives from arbitrarily long "prime deserts" such as the 11 composites in A014688 between a(6) = 19 and a(18) = 79, and the 17 composites in A014688 between a(48) = 271 and a(66) = 383. - Jonathan Vos Post (jvospost2(AT)yahoo.com), Nov 22 2004

LINKS

T. D. Noe, Table of n, a(n) for n=1..1000

EXAMPLE

5th term is 69=61+18=prime(18)+18.

MATHEMATICA

Select[Range[500], PrimeQ[Prime[ # ] + # ] &] + Prime[Select[Range[500], PrimeQ[Prime[ # ] + # ] &]] - Stefan Steinerberger (stefan.steinerberger(AT)gmail.com), Jul 21 2006

CROSSREFS

Cf. A061067, A061067, A064402.

Sequence in context: A117272 A118744 A092672 this_sequence A058932 A118037 A094588

Adjacent sequences: A061065 A061066 A061067 this_sequence A061069 A061070 A061071

KEYWORD

nonn

AUTHOR

Labos E. (labos(AT)ana.sote.hu), May 28 2001

EXTENSIONS

Edited by njas, Apr 29 2007

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Last modified July 4 18:25 EDT 2008. Contains 140886 sequences.


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