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A073681
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Smallest of three consecutive primes whose sum is a prime.
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7
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5, 7, 11, 17, 19, 23, 29, 31, 41, 53, 61, 67, 71, 79, 83, 101, 109, 139, 149, 157, 163, 197, 211, 229, 271, 281, 283, 293, 311, 337, 347, 349, 379, 389, 401, 409, 431, 449, 457, 463, 467, 491, 499, 509, 547, 617, 641, 653, 659, 661, 701, 719, 743, 751, 757
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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LINKS
| Harry J. Smith, Table of n, a(n) for n=1..2000
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MATHEMATICA
| lst={}; Do[p0=Prime[n+0]; p1=Prime[n+1]; p2=Prime[n+2]; d1=p1-p0; d2=p2-p1; If[PrimeQ[p0+p1+p2], AppendTo[lst, p0]], {n, 10^3}]; lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Aug 08 2008]
Transpose[Select[Partition[Prime[Range[200]], 3, 1], PrimeQ[Total[#]]&]] [[1]] (* From Harvey P. Dale, Jan 25 2012 *)
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PROG
| (PARI) forprime(p=1, 1000, pp=nextprime(p+1); if(isprime(p+pp+nextprime(pp+1)), print1(p", ")))
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CROSSREFS
| Sequence in context: A168224 A084197 A180952 * A155772 A020582 A106863
Adjacent sequences: A073678 A073679 A073680 * A073682 A073683 A073684
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KEYWORD
| nonn
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AUTHOR
| Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Aug 11 2002
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EXTENSIONS
| More terms from Ralf Stephan (ralf(AT)ark.in-berlin.de), Mar 20 2003
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