A126956 Numbers n such that 3n+2, 4n+3 and 5n+4 are primes.

5, 17, 77, 89, 119, 185, 257, 287, 395, 665, 755, 797, 929, 1175, 1259, 1337, 1379, 1445, 1469, 1769, 2057, 2105, 3125, 3419, 3437, 3629, 3815, 3989, 4079, 4157, 4175, 4217, 4367, 4445, 4847, 5045, 5375, 6089, 6137, 6167, 6359, 6419, 6485, 6725, 6887

Offset

1,1

Links

Harvey P. Dale, Table of n, a(n) for n = 1..1000

Example

Take n = 185. Then 3*185 + 2 = 557, 4*185 + 3 = 743 and 5*185 + 4 = 929 are primes.

Mathematica

Select[Range[7000], PrimeQ[3# + 2] && PrimeQ[4# + 3] && PrimeQ[5# + 4] &] (* Ray Chandler, Mar 20 2007 *)
Select[Range[7000], AllTrue[{3#+2, 4#+3, 5#+4}, PrimeQ]&] (* The program uses the AllTrue function from Mathematica version 10 *) (* Harvey P. Dale, Feb 06 2019 *)

Crossrefs

Intersection of A024893, A095278, A024897. Cf. A126955.

Sequence in context: A149735 A149736 A145959 * A149737 A149738 A149739

Adjacent sequences: A126953 A126954 A126955 * A126957 A126958 A126959

Keyword

nonn

Author

J. M. Bergot, Mar 19 2007

Extensions

Corrected and extended by Ray Chandler, Stuart Clary, Robert G. Wilson v and Zak Seidov, Mar 20 2007

Status

approved