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A070301
Numbers n such that sum of first 2n primes is prime.
1
1, 2, 3, 6, 7, 30, 32, 48, 50, 51, 54, 57, 61, 62, 65, 66, 73, 76, 79, 81, 89, 96, 99, 102, 103, 104, 107, 108, 148, 154, 163, 164, 165, 166, 167, 171, 175, 178, 179, 213, 223, 229, 230, 232, 240, 242, 244, 256, 265, 268, 274, 284, 310, 315, 338, 340, 348, 354
OFFSET
1,2
COMMENTS
6 is in the sequence because the sum of the first 2*6=12 primes as 2+3+5+7+11+13+17+19+23+29+31+37=197 which is prime.
LINKS
Charles R Greathouse IV, Table of n, a(n) for n = 1..10000
MATHEMATICA
p = 0; Do[p = p + Prime[2n - 1] + Prime[2n]; If[ PrimeQ[p], Print[n]], {n, 1, 10^4}]
nn=360; With[{prs=Prime[Range[2nn]]}, Select[Range[nn], PrimeQ[Total[Take[ prs, 2#]]]&]] (* Harvey P. Dale, Aug 22 2011 *)
PROG
(PARI) list(lim)=my(v=List(), n, s); lim\=1; lim*=2; forprime(p=2, , if(n++>lim, break); s+=p; if(n%2==0 && isprime(s), listput(v, n/2))); Vec(v) \\ Charles R Greathouse IV, Jun 13 2017
CROSSREFS
Sequence in context: A064731 A159069 A162681 * A329294 A291659 A302090
KEYWORD
nonn
AUTHOR
Lekraj Beedassy, May 10 2002
EXTENSIONS
Edited by Robert G. Wilson v, May 13 2002
STATUS
approved