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A229059
Smallest of 13 consecutive primes whose sum is a prime.
1
29, 41, 47, 61, 71, 89, 97, 103, 107, 131, 139, 149, 193, 211, 241, 263, 277, 293, 311, 313, 349, 353, 379, 383, 397, 401, 419, 443, 461, 491, 521, 557, 593, 599, 631, 647, 677, 739, 761, 809, 827, 877, 983, 1013, 1039, 1061, 1109, 1117, 1171, 1193, 1201
OFFSET
1,1
LINKS
EXAMPLE
a(1)=29 since 29+31+37+41+43+47+53+59+61+67+71+73+79=691 is a prime.
MATHEMATICA
Transpose[Select[Partition[Prime[Range[250]], 13, 1], PrimeQ[Total[#]]&]][[1]]
PROG
(Magma) [NthPrime(n): n in [1..200] | IsPrime(&+[NthPrime(n+s): s in [0..12]])];
CROSSREFS
KEYWORD
nonn
AUTHOR
Vincenzo Librandi, Sep 13 2013
STATUS
approved