Primes p such that p + 246 is also prime.
5, 11, 17, 23, 31, 37, 47, 61, 67, 71, 101, 103, 107, 113, 127, 137, 151, 163, 173, 193, 197, 211, 233, 241, 257, 263, 277, 311, 317, 331, 347, 353, 367, 373, 397, 401, 431, 463, 487, 523, 541, 563, 577, 593, 607, 613, 617, 631, 641, 661, 673, 683, 691, 701
1
Progress has been rapid in trying to prove the twin primes conjecture: down from 70000000 in one year.
T. D. Noe, Plot of 1000 terms
T. D. Noe, Table of 1000 terms
D. H. J. Polymath, Variants of the Selberg sieve, and bounded intervals containing many primes, arXiv 1407.4897, Jul 18 2014.
(Mma) Select[Prime[Range[10000]], PrimeQ[246 + #] &]
Cf. A225423 (p + 70000000 is also prime), A231607 (p + 600 is also prime), S000096.
nonn
T. D. Noe, Jul 21 2014