A092044 Numbers n such that prime(n) == -2 (mod n).

1, 11, 71, 637319, 637323, 637327, 179993015, 1208198861, 8179002163, 8179002189, 55762149067, 55762149103, 6201265271239787, 43525513764814971, 43525513764815121, 2159986889494444325, 2159986889494445481, 2159986889494445499, 2159986889494447181

Offset: 1

Author

Robert G. Wilson v, Feb 18 2004

Keywords

• nonn

Crossrefs

Cf. A023144, A045924, A092045, A092046, A092047, A092048, A092049, A092050, A092051, A092052.

Cf. A105290.

Programs

Mathematica

NextPrim[n_] := Block[{k = n + 1}, While[ !PrimeQ[k], k++ ]; k]; p = 1; Do[ If[ Mod[p = NextPrim[p], n] == n - 2, Print[n]], {n, 1, 10^9}]

PARI

for(i=1,10^9,if(Mod(prime(i),i)==-2,print1(i,",")));

Extensions

Corrected by Mohammed Bouayoun (bouyao(AT)wanadoo.fr), Feb 20 2004

a(7)-a(12) from Robert G. Wilson v, Feb 22 2006

a(13)-a(19) from Giovanni Resta, Feb 23 2020