A123077 Primes of the form (1+2n+3n^2+4n^3)/2.

5, 71, 293, 7103, 32213, 40487, 50069, 87623, 161831, 211007, 238949, 337343, 852263, 922037, 1328447, 1421909, 1955399, 2607989, 3061703, 3744551, 4121087, 4318469, 4731941, 5400359, 5879231, 7198421, 9356927, 10400501, 10764863

Offset

1,1

Comments

Corresponding n's are 1, 3, 5, 15, 25, 27, 29, 35, 43, 47, 49, 55, 75, 77, 87, 89, 99, 109, 115, 123, 127, 129, 133, 139, 143, 153, 167, 173, 175, 179, 183, 185, 195, 199, 207, 209, 227, 229, 239, 245, 257, 259, 269, 273, 283, 285, 299, 309, 315, 325, 327, 337, 347, 349, 357, 363, 369, 377, 379, 393, 399, 403, 409, 417, 425, 439, 523, 539, 545, 559, 567, 575, 587, 589, 593, 607, 623, 659, 687, 697, 699.

There are no primes of the form (1+2n+3n^2+4n^3)/3.

Links

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

Mathematica

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

Prog

(Magma) [a: n in [0..250] | IsPrime(a) where a is  (1 + 2*n + 3*n^2 + 4*n^3) div 2]; // Vincenzo Librandi, Mar 21 2013

Crossrefs

Cf. A056578, A123059.

Sequence in context: A139930 A265030 A295332 * A171554 A197405 A295536

Adjacent sequences: A123074 A123075 A123076 * A123078 A123079 A123080

Keyword

easy,nonn

Author

Zak Seidov, Sep 27 2006

Status

approved