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

1,2

Links

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

Example

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

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 *)

Crossrefs

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

Sequence in context: A238631 A220557 A266962 * A091105 A234335 A071902

Adjacent sequences: A126952 A126953 A126954 * A126956 A126957 A126958

Keyword

nonn

Author

J. M. Bergot, Mar 19 2007

Extensions

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

Status

approved