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Search: id:A114379
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| A114379 |
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Sums of pth to the qth prime where p and q are twin primes. |
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+0
1
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| 23, 41, 109, 187, 349, 551, 841, 1079, 1667, 1779, 2357, 2599, 3219, 3487, 3631, 4319, 4533, 5197, 5501, 6213, 7039, 8709, 9031, 9829, 11233, 12425, 13227, 13677, 14329, 14813, 18667, 18951, 19073, 19973, 20561, 24329, 24685, 25153, 25561, 26261
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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Conjecture: The number of terms in this sequence is infinite.
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FORMULA
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prime(n) is the n-th prime number.
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EXAMPLE
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3 and 5 are the first twin prime pair. prime(3) = 5,prime(4) = 7, prime(5)=11
and 5+7+11 = 23, the first entry in the table.
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PROGRAM
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(PARI) g(n)=forprime(x=3, n, if(isprime(x+2), print1(sumprimes(x, x+2)", ")))
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CROSSREFS
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Sequence in context: A115699 A083444 A106970 this_sequence A106969 A037137 A023264
Adjacent sequences: A114376 A114377 A114378 this_sequence A114380 A114381 A114382
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KEYWORD
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easy,nonn
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AUTHOR
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Cino Hilliard (hillcino368(AT)gmail.com), Feb 10 2006
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