A123100 Primes of the form (1+2n+3n^2+4n^3)/5.

2, 197, 354677, 713357, 959597, 1256837, 3676037, 5168717, 7018997, 11945957, 15099437, 18764117, 25303637, 36170597, 42610877, 46099517, 49773557, 71092757, 75979997, 91974917, 110070437, 123365117, 161190317, 306442277

Offset

1,1

Comments

All terms > 2 are congruent to 7 (mod 10).

Corresponding n's are: 1, 6, 76, 96, 106, 116, 166, 186, 206, 246, 266, 286, 316, 356, 376, 386, 396, 446, 456, 486, 516, 536, 586, 726, 736, 746, 766, 796, 846, 866, 906, 916, 1036, 1046, 1076, 1116, 1126, 1156, 1176, 1236, 1296, 1316, 1326, 1406, 1456, 1546, 1586, 1596, 1686, 1706, 1786, 1816, 1896, 1926, 1956, all are congruent to 1 (mod 5).

Links

Vincenzo Librandi, Table of n, a(n) for n = 1..1000

Mathematica

Select[Table[(1 + 2 n + 3 n^2 + 4 n^3)/5, {n, 0, 200}], PrimeQ] (* Vincenzo Librandi, Mar 21 2013 *)

Crossrefs

Cf. A056578, A123059.

Sequence in context: A256410 A174367 A262650 * A033147 A213162 A124339

Adjacent sequences: A123097 A123098 A123099 * A123101 A123102 A123103

Keyword

nonn,easy

Author

Zak Seidov, Sep 27 2006

Status

approved