A051653 Primes p such that 2310*p + 1 is also prime.
2, 5, 11, 19, 47, 71, 73, 97, 109, 113, 137, 139, 151, 163, 167, 199, 229, 239, 263, 271, 311, 313, 317, 331, 347, 353, 379, 431, 433, 457, 461, 479, 503, 509, 523, 593, 599, 613, 617, 691, 701, 727, 761, 797, 811, 823, 853, 863, 883, 929, 937, 941, 947, 953
Offset: 1
Keywords
Examples
p = 2 and 2310*p + 1 = 4621 are both primes.
Links
- Amiram Eldar, Table of n, a(n) for n = 1..10000
Programs
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Mathematica
Select[Prime[Range[200]],PrimeQ[2310#+1]&] (* Harvey P. Dale, Oct 14 2014 *)
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PARI
isok(k) = isprime(k) && isprime(2310*k+1); \\ Amiram Eldar, Feb 24 2025
Formula
a(n) = (A051649(n)-1)/2310. - Amiram Eldar, Feb 24 2025