A123049 Numbers n such that (n+2) | (2^n+3^n).

0, 3, 33, 75, 2385, 6345, 6963, 11625, 18555, 57825, 89505, 92475, 265995, 473625, 575265, 1254363, 1720035, 3930705, 4295763, 4638603, 5686875, 6662115, 8731875, 8782515, 13964025, 14951385, 17714475, 18979035, 21868875, 26854155, 45546345

Offset: 1

Author

Zak Seidov, Sep 25 2006

Keywords

• nonn

Comments

All terms are multiples of 3. - Robert G. Wilson v, Sep 29 2006

Entries not congruent to 0 (modulo 5): 3, 33, 6963, 1254363, 4295763, 4638603, 50045553, 69151563, 114829611, 121716633, 208974987, 249618633, 292403403, ..., . - Robert G. Wilson v, Sep 29 2006

Crossrefs

Cf. A045576.

Programs

Mathematica

Do[m = n; If[ Mod[ PowerMod[2, n, n + 2] + PowerMod[3, n, n + 2], n + 2] == 0, Print@n], {n, 0, 45546345}] (* Robert G. Wilson v, Sep 29 2006 *)

Extensions

More terms from Robert G. Wilson v, Sep 29 2006