A177746 Primes p such that prime(p-1) mod (p-1) = (prime(p) mod p) - 1.

2, 3, 13, 23, 97, 101, 103, 109, 131, 457, 641, 677, 751, 787, 811, 881, 977, 1019, 1049, 2719, 2753, 2777, 2909, 3067, 3083, 3203, 3329, 3331, 3547, 3557, 3613, 3767, 3823, 3833, 3847, 3911, 3929, 4007, 4159, 4219, 4259, 4327, 4421, 4591, 4639

Offset

1,1

Comments

Primes p such that A004648(p-1) + 1 = A004648(p).

Links

Table of n, a(n) for n=1..45.

Example

2 is a term because 2 is prime and A004648(2-1) = A004648(2)-1 = 0.

Prog

(Sage) A004648 = lambda n: nth_prime(n) % n
is_A177746 = lambda n: is_prime(n) and A004648(n) == A004648(n-1)+1 # D. S. McNeil, Dec 12 2010
(PARI) s=[]; forprime(n=2, 5000, if(prime(n-1)%(n-1) == prime(n)%n-1, s=concat(s, n))); s \\ Colin Barker, Jun 27 2014

Crossrefs

Cf. A000040, A004648.

Sequence in context: A103150 A065723 A215134 * A024779 A286458 A087906

Adjacent sequences: A177743 A177744 A177745 * A177747 A177748 A177749

Keyword

nonn,less

Author

Juri-Stepan Gerasimov, Dec 12 2010

Extensions

Corrected and extended by D. S. McNeil, Dec 12 2010

Status

approved