A357935 Primes p such that the sum of digits of 11*p is 11.

19, 37, 73, 919, 937, 991, 1873, 2791, 3637, 3673, 3691, 4591, 6373, 8191, 91837, 91873, 92737, 92791, 93637, 94573, 181837, 181873, 181891, 182773, 183637, 183691, 185491, 186391, 187273, 272737, 274591, 275491, 276373, 277273, 278191, 363691, 365473, 367273, 455473, 455491, 458191, 459091

Offset

1,1

Comments

Primes in A279771.

All terms == 1 (mod 18).

Includes (8*10^k+3)/11 for k = 2, 6, 60, 320, 600. Any others?

Links

Robert Israel, Table of n, a(n) for n = 1..10000

Example

a(3) = 73 is a term because 73 is prime and 11*73 = 803 with 8+0+3 = 11.

Maple

filter:= proc(p) convert(convert(11*p, base, 10), `+`) = 11 and isprime(p):
select(filter, [seq(i, i=1..10^6, 18)]);

Mathematica

Select[Prime[Range[40000]], Plus @@ IntegerDigits[11*#] == 11 &] (* Amiram Eldar, Oct 21 2022 *)

Crossrefs

Cf. A166311, A279771.

Sequence in context: A245381 A050528 A257074 * A299930 A053685 A244111

Adjacent sequences: A357932 A357933 A357934 * A357936 A357937 A357938

Keyword

nonn,base

Author

J. M. Bergot and Robert Israel, Oct 21 2022

Status

approved