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A116657 Numbers k such that prime(k) == 11 (mod k). 5
1, 2, 3, 4, 5, 8, 20, 38, 39, 82, 190, 192, 444, 2702, 40079, 40156, 251719, 251725, 251733, 251740, 251788, 637322, 637342, 10553424, 10553571, 10553575, 10553646, 10553824, 27066990, 69709708, 69709870, 69709881, 69709941, 179992918, 179993010 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Starting with a(7), positions of 11 in A004648. - corrected by Eric M. Schmidt, Feb 05 2013

LINKS

Table of n, a(n) for n=1..35.

MATHEMATICA

NextPrim[n_] := Block[{k = n + 1}, While[ !PrimeQ[k], k++ ]; k]; p = 1; Do[ If[ Mod[p = NextPrim[p], n] == 11, Print[n]], {n, 10^9}] (* Robert G. Wilson v, Feb 22 2006 *)

PROG

(Sage)

def A116657(max) :

    terms = []

    p = 2

    for n in range(1, max+1) :

        if (p - 11) % n == 0 : terms.append(n)

        p = next_prime(p)

    return terms

# Eric M. Schmidt, Feb 05 2013

CROSSREFS

Cf. A004648; A023143 - A023152, A116657, A116677, A116658, A116659: prime(n) == m (mod n), m=1..14.

Sequence in context: A055638 A057657 A293591 * A268274 A079383 A103670

Adjacent sequences:  A116654 A116655 A116656 * A116658 A116659 A116660

KEYWORD

nonn

AUTHOR

Zak Seidov, Feb 21 2006

EXTENSIONS

a(17)-a(35) from Robert G. Wilson v, Feb 22 2006

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

STATUS

approved

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Last modified May 28 16:37 EDT 2022. Contains 354119 sequences. (Running on oeis4.)