A023152 Numbers k such that prime(k) == 10 (mod k).

1, 7, 19, 21, 2703, 15929, 4124583, 27067051, 179992913, 179993011, 179993159, 1208198559, 1208198859, 55762149031, 382465573511, 382465573547, 18262325820337, 6201265271239229, 6201265271239409, 6201265271239433, 43525513764814941, 43525513764816369, 43525513764816411, 43525513764816437, 306268030480171419

Offset

1,2

Links

Table of n, a(n) for n=1..25.

Mathematica

NextPrim[n_] := Block[{k = n + 1}, While[ !PrimeQ[k], k++ ]; k]; p = 1; Do[ If[ Mod[p = NextPrim[p], n] == 10, Print[n]], {n, 1, 10^9}] (* Robert G. Wilson v, Feb 18 2004 *)

Prog

(Sage)
def A023152(max) :
    terms = []
    p = 2
    for n in range(1, max+1) :
        if (p - 10) % n == 0 : terms.append(n)
        p = next_prime(p)
    return terms
# Eric M. Schmidt, Feb 05 2013
(PARI) n=0; forprime(p=2, 1e9, if(Mod(p, n++)==10, print1(n", "))) \\ Charles R Greathouse IV, Apr 29 2015

Crossrefs

Cf. A092052, A023143, A023144, A023145, A023146, A023147, A023148, A023149, A023150, A023151.

Sequence in context: A109637 A039513 A125265 * A123532 A113972 A082422

Adjacent sequences: A023149 A023150 A023151 * A023153 A023154 A023155

Keyword

nonn

Author

David W. Wilson

Extensions

Extended by Robert G. Wilson v, Feb 18 2004

a(9)-a(14) from Robert G. Wilson v, Feb 22 2006

First two terms inserted by Eric M. Schmidt, Feb 05 2013

a(15)-a(25) from Giovanni Resta, Feb 23 2020

Status

approved