A339566 Primes p such that A007088(p) == 1 (mod p).

5, 137, 3967, 25087, 242899421

Offset

1,1

Links

Table of n, a(n) for n=1..5.

Example

a(3) = 3967 is in the sequence because 3967 = 111101111111_2 and 111101111111 == 1 (mod 3967).

Maple

p:= 1: R:= NULL:
while p < 3*10^8 do
p:= nextprime(p);
if convert(p, binary) mod p = 1 then R:= R, p fi
od:
R;

Prog

(Python)
from sympy import nextprime
A339566_list, p = [], 2
while p < 10**10:
    if int(bin(p)[2:]) % p == 1:
        A339566_list.append(p)
    p = nextprime(p) # Chai Wah Wu, Dec 14 2020

Crossrefs

Cf. A007088, A339544.

Primes in A339567.

Sequence in context: A265875 A248523 A159546 * A012215 A012142 A012207

Adjacent sequences: A339563 A339564 A339565 * A339567 A339568 A339569

Keyword

nonn,more

Author

Robert Israel, Dec 09 2020

Status

approved