A338700 Start of the first run of n or more consecutive primes which are Sophie Germain primes.

2, 2, 2, 1433849, 9816899, 445480319, 298098924131, 1372604395439

Offset

1,1

Comments

No run of 9 consecutive Sophie Germain primes starts with a prime p <= 5*10^14. Hence a(9) > 5*10^14. - Carlo Corti, May 05 2026

Links

Table of n, a(n) for n=1..8.

Carlo Corti, A338700: exhaustive search establishing a(9) > 5*10^14

Carlos Rivera, Puzzle 71. Consecutive primes and Cunningham chains, The Prime Puzzles and Problems Connection.

Example

a(4) = 1433849 because 1433849, 1433891, 1433903, 1433909 are four consecutive primes and they are terms of A005384. The sequence of numbers with this property is 1433849, 1989329, 2227853, ... and 1433849 is the first term.

Crossrefs

Cf. A005384, A047989, A339474, A339477.

Sequence in context: A186069 A280842 A244442 * A246471 A289814 A328686

Adjacent sequences: A338697 A338698 A338699 * A338701 A338702 A338703

Keyword

nonn,more

Author

Metin Sariyar, Apr 24 2021

Extensions

a(8) from Martin Ehrenstein, Apr 29 2021

Status

approved