A339545 Primes p such that A007088(p) == A151799(p) (mod p).

3, 19, 29, 691

Offset

1,1

Comments

Primes p such that the binary representation of p, considered as a decimal number, is congruent mod p to the prime previous to p.

No other terms < 10^11. - Max Alekseyev, Feb 04 2024

Links

Table of n, a(n) for n=1..4.

Example

a(3) = 29 is a member because 29 = 11101_2, 11101 == 23 (mod 29), and 23 is the prime previous to 29.

Maple

select(t -> isprime(t) and convert(t, binary) mod t = prevprime(t), [seq(i, i=3..1000, 2)]);

Crossrefs

Cf. A007088, A151799, A339544.

Sequence in context: A180451 A108137 A250027 * A102978 A218537 A236969

Adjacent sequences: A339542 A339543 A339544 * A339546 A339547 A339548

Keyword

nonn,base,more

Author

J. M. Bergot and Robert Israel, Dec 08 2020

Status

approved