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 A060212 Primes q such that 6*q-1 and 6*q+1 are twin primes. Proper subset of A002822. 14
 2, 3, 5, 7, 17, 23, 47, 103, 107, 137, 283, 313, 347, 373, 397, 443, 467, 577, 593, 653, 773, 787, 907, 1033, 1117, 1423, 1433, 1613, 1823, 2027, 2063, 2137, 2153, 2203, 2287, 2293, 2333, 2347, 2677, 2903, 3257, 3307, 3407, 3413, 3593, 3623, 3673, 3923 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Primes in A182521. Also all primes p for which A182481(p)=1. - Vladimir Shevelev, May 03 2012 Conjecture: a(n) ~ n*log(n)*log(n*log(n))*log(log(n)). - Carl R. White, Nov 16 2023 LINKS David Radcliffe, Table of n, a(n) for n = 1..10000 MATHEMATICA lst={}; Do[p=Prime[n]; If[PrimeQ[6*p-1] && PrimeQ[6*p+1], AppendTo[lst, p]], {n, 100}]; lst (* Vladimir Joseph Stephan Orlovsky, Aug 16 2009 *) PROG (PARI) forprime(p=2, 9999, if(isprime(6*p+1) & isprime(6*p-1), print(p))) \\ David Radcliffe, Apr 02 2016 (Python) from sympy import *; print([p for p in primerange(2, 9999) if isprime(6*p-1) and isprime(6*p+1)]) # David Radcliffe, Apr 02 2016 CROSSREFS Cf. A001359, A002822, A014574, A027856, A058383, A059960, A182481, A182521, A294731. Sequence in context: A135948 A164042 A248344 * A107439 A262836 A356475 Adjacent sequences: A060209 A060210 A060211 * A060213 A060214 A060215 KEYWORD nonn AUTHOR Labos Elemer, Mar 20 2001 STATUS approved

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Last modified June 20 23:18 EDT 2024. Contains 373535 sequences. (Running on oeis4.)