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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
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
Sequence in context: A135948 A164042 A248344 * A107439 A262836 A356475
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.)