

A088483


Primes p such that p^2+p1 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
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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+p1]&&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+p1)&&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



