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A134179 Prime sums of k distinct (no overlap) sequential primes. +0
2
2, 31, 199, 659, 1601, 5693, 38917, 51797, 84463, 697373, 8059169, 8510617, 9465251, 28268543, 36254039, 40121999, 48667219, 54973229, 63627491, 90443813, 97626083, 102534899, 110364689, 139100699, 161967391, 183528421, 219566989 (list; graph; listen)
OFFSET

1,1

FORMULA

Compute sums of k distinct sequential primes (no overlap). If the sum is prime add the sum to the sequence.

EXAMPLE

a(2)=31 because at k=3, the 3 primes summed are 7+11+13=31, prime sum. At k=2 the two primes added are 3+5=8, composite, so 8 is not added to the sequence.

PROGRAM

UBASIC: 10 K=1 20 A=nxtprm(A):B=B+A:C=C+1: if C<>K then 20:else 30 30 L=B/K 31 print K; B; :Q=prmdiv(B): if Q=B then print B; "-":stop:else 40 40 B=0:K=K+1:C=0:goto 20

CROSSREFS

Cf. A134180 A134244 A134245 A134246.

Adjacent sequences: A134176 A134177 A134178 this_sequence A134180 A134181 A134182

Sequence in context: A101254 A107170 A042059 this_sequence A004307 A120357 A071360

KEYWORD

easy,nonn,uned

AUTHOR

Enoch Haga (Enokh(AT)comcast.net), Oct 16 2007

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Last modified October 6 16:09 EDT 2008. Contains 144667 sequences.


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