A382520 Primes prime(k) such that k^k == k (mod prime(k)).

2, 7, 1009, 2689, 12979, 185161, 203659, 227251, 246773, 364717, 1681853, 2432093, 169985089, 189961939, 466446781, 1126270367, 9257864617, 41161886351, 100877549917, 168710890321, 369064364689, 2938399534589, 19737992109859, 27365163273061

Offset

1,1

Links

Table of n, a(n) for n=1..24.

Formula

a(n) = A000040(A177005(n)). - Michael S. Branicky, May 18 2025

Example

7 is a term because 7 = prime(4) and 4^4 == 4 (mod 7).

Prog

(Magma) [NthPrime(k): k in [1..35000] | k^k mod NthPrime(k) eq k];

Crossrefs

Cf. A000040, A177005, A381903.

Sequence in context: A073860 A093926 A065590 * A051249 A056165 A082891

Adjacent sequences: A382517 A382518 A382519 * A382521 A382522 A382523

Keyword

nonn,more

Author

Juri-Stepan Gerasimov, May 17 2025

Extensions

a(12)-a(24) from Michael S. Branicky, May 18 2025 using A177005

Status

approved