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 A123077 Primes of the form (1+2n+3n^2+4n^3)/2. 1
 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 (list; graph; refs; listen; history; text; internal format)
 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

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Last modified May 20 06:19 EDT 2024. Contains 372703 sequences. (Running on oeis4.)