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A096787
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Primes of form 4n+3 which are the sum of two consecutive composite numbers.
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12
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19, 31, 43, 67, 71, 79, 103, 127, 131, 139, 151, 163, 191, 199, 211, 223, 239, 251, 271, 283, 307, 311, 331, 367, 379, 419, 431, 439, 443, 463, 487, 491, 499, 523, 547, 571, 599, 607, 619, 631, 643, 647, 659, 683, 691, 727, 739, 743, 751, 787, 811, 823, 827
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OFFSET
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1,1
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LINKS
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Table of n, a(n) for n=1..53.
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FORMULA
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Equals 1+2*A096788.
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MATHEMATICA
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2Select[ Range[ 450], PrimeQ[ # ] == PrimeQ[ # + 1] == False && PrimeQ[2# + 1, GaussianIntegers -> True] == True &] + 1 (from Robert G. Wilson v Jul 11 2004)
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PROG
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(PARI) nextcomposite(k)=if(k<3, 4, if(isprime(k), k+1, k));
{m=440; n=4; while(n<m, k=nextcomposite(n+1); p=n+k; if(isprime(p)&&(p%4)==3, print1(p, ", ")); n=k)} - Klaus Brockhaus, Jul 10 2004
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CROSSREFS
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Subsequence of A060254. See A096788 for values 2n+1. See A096676 for n values.
Cf. A060254, A096784, A096785, A096786, A096788, A096676, A096679.
Sequence in context: A157995 A043298 A040068 * A104006 A117065 A006035
Adjacent sequences: A096784 A096785 A096786 * A096788 A096789 A096790
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KEYWORD
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nonn
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AUTHOR
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Lekraj Beedassy, Jul 09 2004
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EXTENSIONS
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Corrected and extended by Klaus Brockhaus and Ray Chandler, Jul 10 2004
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STATUS
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approved
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