A089152 Primes p such that 6*p-7 and 6*p-5 are twin primes and p is also a twin prime.
3, 11, 13, 19, 31, 41, 59, 71, 73, 101, 139, 193, 239, 269, 271, 313, 349, 433, 521, 643, 823, 829, 881, 1051, 1061, 1093, 1621, 1669, 1723, 1951, 2549, 2999, 3359, 3373, 3463, 3469, 3583, 4019, 4219, 4481, 4483, 4519, 5233, 5639, 5881, 6089, 6131, 6133
Offset: 1
Examples
6*19-7 = 107, 6*19-5 = 109, 107 and 109 are twin primes and 19 has 17 as twin.
Links
- Robert Israel, Table of n, a(n) for n = 1..5462
Crossrefs
Subsequence of A089151.
Programs
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Magma
[p: p in PrimesUpTo(6500) |(IsPrime(p-2) or IsPrime(p+2)) and IsPrime(6*p-5) and IsPrime(6*p-7)]; // Vincenzo Librandi, Jan 17 2019
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Maple
P:= {seq(ithprime(i),i=1..20000)}: A:= P intersect (map(`-`,P,2) union map(`+`,P,2)) intersect map(t -> (t+5)/6, P) intersect map(t -> (t+7)/6, P): sort(convert(A,list)); # Robert Israel, Jan 16 2019
Extensions
2 and 173 removed by R. J. Mathar, Nov 13 2009