A123059 Primes of the form 1 + 2*k + 3*k^2 + 4*k^3.

313, 7369, 11593, 24337, 44089, 57073, 90217, 160753, 570649, 964969, 1060993, 1916617, 3349033, 4532113, 5360521, 6614137, 7308289, 9252409, 11035081, 12006433, 14680513, 15852457, 16461121, 22654417, 29318833, 34083913, 39339193, 41583937, 42737641, 51416353

Offset: 1

Author

Zak Seidov, Sep 26 2006

Keywords

• nonn

Comments

Corresponding values of k are in A123076.

Links

• Jason Bard, Table of n, a(n) for n = 1..10000

Crossrefs

Cf. A056578, A123076.

Programs

Magma

[ a: n in [0..300] | IsPrime(a) where a is 1+2*n+3*n^2+4*n^3 ]; // Vincenzo Librandi, Dec 17 2010

Mathematica

Select[Total/@Table[(Range[4]n^Range[0,3]),{n,250}],PrimeQ]  (* Harvey P. Dale, Jan 18 2011 *)

Formula

a(n) = A056578(A123076(n)). - Elmo R. Oliveira, Apr 20 2025