A266951 Record values in A266948: least prime p such that p-2 and 6n-p are also prime.

0, 5, 7, 13, 31, 109, 139, 199, 241, 283, 601, 619, 643, 823, 859, 883, 1021, 1051, 1093, 1291, 1621, 1873, 1879, 1951, 2311, 3001, 3301, 3361, 3529, 3583, 3919, 3931, 4339, 5419, 5479, 5851, 6361

Offset: 1

Author

M. F. Hasler, Jan 06 2016

Keywords

• nonn
• more

Comments

Goldbach conjecture related. The values of A266948(n) range theoretically between 2 and n. The smaller they are, the easier it was to find a suitable twin prime, and thus the more likely the conjecture "A266948(n) > 0 for all n > 1" holds. These record values vs. the respective indices A266950 yield an estimate for the growth of an upper bound.

Crossrefs

Cf. A266948, A266950.

Extensions

a(28)-a(37) from Pontus von Brömssen, Jan 06 2024