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A082283 Primes that are the sum of a prime number of consecutive primes. +0
1
5, 23, 31, 41, 59, 71, 83, 97, 109, 131, 173, 199, 211, 223, 251, 269, 311, 349, 439, 457, 487, 503, 607, 661, 701, 829, 857, 883, 911, 941, 1033, 1049, 1061, 1151, 1187, 1229, 1249, 1303, 1367, 1381, 1409, 1433, 1493, 1511, 1553, 1667, 1867, 1931, 1973, 1993 (list; graph; listen)
OFFSET

1,1

COMMENT

This series was generated with n = 200 below.

Superset of A034962. [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Sep 17 2008]

PROGRAM

(PARI) \ First few prime in the sum of a prime number of consecutive primes psumpprm(n) = { sr=.2; print1(5" "); forprime(i=2, n, s=0; for(j=1, i, s+=prime(j); ); for(x=1, n, s = s - prime(x)+ prime(x+i); if(isprime(s), sr+=1.0/s; print1(s" ")); ); ); print(); print(sr) }

CROSSREFS

Sequence in context: A019367 A065867 A071199 this_sequence A050906 A098421 A044447

Adjacent sequences: A082280 A082281 A082282 this_sequence A082284 A082285 A082286

KEYWORD

easy,nonn

AUTHOR

Cino Hilliard (hillcino368(AT)gmail.com), May 09 2003

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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