A126955 Numbers n such that 2n+1, 3n+2 and 4n+3 are primes.

1, 5, 65, 89, 119, 215, 455, 755, 779, 965, 1175, 1349, 1409, 1469, 1679, 1745, 1769, 1889, 1955, 2009, 2105, 2435, 2519, 2525, 2585, 2639, 4685, 5045, 5165, 5735, 5915, 5969, 6725, 7415, 7469, 7895, 8045, 9065, 9365, 9449, 9659, 9779, 9959, 10379

Offset: 1

Author

J. M. Bergot, Mar 19 2007

Keywords

• nonn

Examples

			Take n = 89. Then 2*89 + 1 = 179, 3*89 + 2 = 269 and 4*89 + 3 = 359 are primes.
		

Links

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

Crossrefs

Intersection of A005097, A024893, A095278. Cf. A126956.

Programs

Mathematica

Select[Range[10500], PrimeQ[2# + 1] && PrimeQ[3# + 2] && PrimeQ[4# + 3] &] (* Ray Chandler, Mar 20 2007 *)
Select[Range[11000],AllTrue[{2#+1,3#+2,4#+3},PrimeQ]&] (* The program uses the AllTrue function from Mathematica version 10 *) (* Harvey P. Dale, Jan 23 2017 *)

Extensions

Extended by Ray Chandler, Robert G. Wilson v and Stuart Clary, Mar 20 2007