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A061068
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Primes which are the sum of a smaller prime and its prime subscript.
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18
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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; refs; listen; history; internal format)
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OFFSET
| 1,1
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COMMENTS
| a(n) = A061067(n-1) + A064402(n). - Leroy Quet 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 (jvospost3(AT)gmail.com), Nov 22 2004
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LINKS
| T. D. Noe, Table of n, a(n) for n=1..1000
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EXAMPLE
| 5th term is 79=61+18=prime(18)+18.
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MATHEMATICA
| Select[Range[500], PrimeQ[Prime[ # ] + # ] &] + Prime[Select[Range[500], PrimeQ[Prime[ # ] + # ] &]] - Stefan Steinerberger (stefan.steinerberger(AT)gmail.com), Jul 21 2006
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PROG
| (PARI) { n=0; m=0; forprime (p=2, 109567, if (isprime(p + m++), write("b061068.txt", n++, " ", p + m)) ) } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jul 17 2009]
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CROSSREFS
| Cf. A061067, A064402.
Sequence in context: A147189 A118744 A092672 * A058932 A118037 A094588
Adjacent sequences: A061065 A061066 A061067 * A061069 A061070 A061071
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KEYWORD
| nonn
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AUTHOR
| Labos E. (labos(AT)ana.sote.hu), May 28 2001
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EXTENSIONS
| Edited by N. J. A. Sloane (njas(AT)research.att.com), Apr 29 2007
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