A143832 Primes of the form 14 n^2-1

13, 223, 349, 503, 1399, 1693, 3583, 6173, 9463, 16183, 18143, 27103, 28349, 33613, 40823, 42349, 48733, 59149, 66653, 70573, 80863, 89599, 101149, 115933, 126349, 129023, 139999, 151423, 157303, 169399, 181943, 185149, 201599, 204973, 218749

Offset

1,1

Comments

Primes of the form k n^2-1 k = 2 A066436 these n are A066049 k = 4 only one prime 3 when n = 1 k = 6 A090686 these n are A143826 k = 8 A090684 these n are A143827 k =10 A143828 these n are A143829 k =12 A143830 these n are A143831 k =14 A143832 these n are A143833 k =16 lack of primes

Links

Table of n, a(n) for n=1..35.

Mathematica

p = 14; a = {}; Do[k = p x^2 - 1; If[PrimeQ[k], AppendTo[a, k]], {x, 1, 1000}]; a
Select[14*Range[200]^2-1, PrimeQ] (* Harvey P. Dale, Jul 29 2024 *)

Crossrefs

A066436, A066049, A090686, A090684, A143826, A143827, A143828, A143829, A143830, A143831, A143833

Sequence in context: A051621 A173427 A051180 * A140841 A062127 A178559

Adjacent sequences: A143829 A143830 A143831 * A143833 A143834 A143835

Keyword

nonn

Author

Artur Jasinski, Sep 02 2008

Status

approved