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 A096342 Primes of the form p*q + p + q, where p and q are two successive primes. 16
 11, 23, 47, 167, 251, 359, 479, 719, 1847, 2111, 2591, 3719, 6719, 7559, 8819, 10607, 12539, 14591, 19319, 27551, 29231, 31319, 51071, 53819, 68111, 97967, 149759, 155219, 172199, 177239, 195359, 199799, 234239, 273527, 305783, 314711, 339863 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS a(n) == 3 mod 4. Primes arising in A126148. - Jonathan Vos Post, Mar 08 2007 Number of primes <10^n: 0, 3, 8, 15, 26, 49, 99, 220, 514, 1228, 2991, 7746, 20218, 54081, ..., . - Robert G. Wilson v LINKS Vincenzo Librandi and Charles R Greathouse IV, Table of n, a(n) for n = 1..10000 (first 1000 terms from Librandi) EXAMPLE a(4)=167 because 11*13 + 11 + 13=167. MATHEMATICA a = {}; Do[p = Prime[n]Prime[n + 1] + Prime[n] + Prime[n + 1]; If[ PrimeQ[p], AppendTo[a, p]], {n, 110}]; a (* Robert G. Wilson v, Jul 01 2004 *) Select[Times@@#+Total[#]&/@Partition[Prime[Range[200]], 2, 1], PrimeQ] (* Harvey P. Dale, Nov 25 2018 *) PROG (PARI) list(lim)=my(v=List(), p=2, t); forprime(q=3, , t=p*q+p+q; if (t>lim, return(Set(v))); if(isprime(t), listput(v, t)); p=q) \\ Charles R Greathouse IV, Sep 15 2015 CROSSREFS Cf. A000040, A001043, A006094, A126148, A126199. Sequence in context: A139834 A100558 A126199 * A066179 A217566 A278869 Adjacent sequences:  A096339 A096340 A096341 * A096343 A096344 A096345 KEYWORD nonn AUTHOR Giovanni Teofilatto, Jun 29 2004 EXTENSIONS More terms from Robert G. Wilson v, Jul 02 2004 STATUS approved

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Last modified May 25 07:56 EDT 2020. Contains 334585 sequences. (Running on oeis4.)