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 A088483 Primes p such that p^2+p-1 and p^2+p+1 are twin primes. 13
 2, 3, 5, 41, 59, 89, 101, 131, 743, 761, 1193, 2411, 2663, 2729, 3011, 3221, 3251, 3449, 4751, 6173, 6599, 6833, 7229, 8669, 9059, 9323, 9521, 9719, 9743, 10151, 10781, 11549, 11933, 12143, 12251, 12473, 12641, 13553, 13613, 14939, 15569, 16301 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Also primes in A155173 = Short leg A of primitive Pythagorean triangles such that perimeters are Averages of twin prime pairs... - Vladimir Joseph Stephan Orlovsky, Jan 21 2009 All terms >3 are congruent to 5 modulo 6. - Zak Seidov, Mar 21 2014 Intersection of A000040 and A088485. - Danny Rorabaugh, May 15 2017 LINKS Pierre CAMI, Table of n, a(n) for n = 1..10000 EXAMPLE a(7) = 101: 101*101 + 101 - 1 = 10301, 10301 and 10303 twin primes. MATHEMATICA lst={}; Do[p=Prime[n]; If[PrimeQ[p1=p*p+p-1]&&PrimeQ[p1+2], AppendTo[lst, p]], {n, 2*7!}]; lst (* Vladimir Joseph Stephan Orlovsky, Jan 21 2009 *) PROG (PARI) forprime(p=2, 1e5, if(isprime(p^2+p-1)&&isprime(p^2+p+1), print1(p", "))) \\ Charles R Greathouse IV, Dec 27 2011 CROSSREFS Cf. A001097, A088484, A088485. Sequence in context: A215321 A215309 A215105 * A235681 A322748 A224781 Adjacent sequences:  A088480 A088481 A088482 * A088484 A088485 A088486 KEYWORD nonn AUTHOR Pierre CAMI, Nov 09 2003 STATUS approved

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Last modified December 6 01:25 EST 2021. Contains 349558 sequences. (Running on oeis4.)