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 A153590 Primes p such that p^2 + 3p + 1 is also prime. 5
 2, 3, 5, 7, 19, 23, 29, 37, 43, 47, 53, 59, 67, 113, 137, 139, 157, 163, 173, 179, 229, 239, 257, 263, 293, 313, 349, 353, 359, 373, 379, 419, 449, 467, 499, 503, 509, 547, 577, 587, 593, 617, 643, 647, 653, 719, 727, 797, 883, 929, 967, 983, 997, 1013, 1033, 1049 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Primes p such that (p*(p+1)) + (p+(p+1)) is prime. Primes p such that sum of product and the sum of p and the nextNumber is prime. - Vladimir Joseph Stephan Orlovsky, Mar 13 2010 LINKS Vincenzo Librandi, Table of n, a(n) for n = 1..1000 EXAMPLE For p = 2, p^2 + 3p + 1 = 11; p = 67, p^2 + 3p + 1 = 4691; for p = 419, p^2 + 3p + 1 = 176819. MATHEMATICA Select[Table[Prime[n], {n, 6!}], PrimeQ[#^2+3*#+1]&] (* Vladimir Joseph Stephan Orlovsky, Mar 13 2010 *) PROG (Magma) [ p: p in PrimesUpTo(1050) | IsPrime(p^2+3*p+1) ]; CROSSREFS Cf. A014574, A174242, A174243, A174244. - Vladimir Joseph Stephan Orlovsky, Mar 13 2010 Sequence in context: A088732 A336446 A129693 * A360041 A360040 A244529 Adjacent sequences: A153587 A153588 A153589 * A153591 A153592 A153593 KEYWORD nonn,easy AUTHOR Vincenzo Librandi, Dec 29 2008 EXTENSIONS Edited and extended by Klaus Brockhaus, Jan 01 2009 STATUS approved

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Last modified September 27 10:09 EDT 2023. Contains 365688 sequences. (Running on oeis4.)