A129214 Numbers m such that 8!*m-/+1 are twin primes.

6, 7, 27, 73, 74, 78, 87, 88, 96, 99, 109, 131, 146, 164, 165, 173, 179, 198, 202, 213, 214, 215, 220, 228, 239, 286, 320, 342, 348, 397, 400, 419, 468, 511, 516, 527, 532, 543, 569, 571, 578, 584, 590, 595, 621, 624, 649, 663, 679, 686, 707, 715, 716, 723

Offset: 1

Author

Zak Seidov, Apr 03 2007

Keywords

• nonn

Links

• Amiram Eldar, Table of n, a(n) for n = 1..10000

Crossrefs

Cf. A014574 (Average of twin prime pairs), A127545 (Multiples of 7 such that n -/+ 1 are twin primes).

Numbers m such that (N!*m -/+ 1) are twin primes: A129213 (N=7), A129215 (N=9), A129216 (N=10).

Programs

Mathematica

s={};Do[m=40320k;If[PrimeQ[m-1]&&PrimeQ[m+1],AppendTo[s,k]],{k,1000}];s
Select[Range[800],AllTrue[40320#+{1,-1},PrimeQ]&] (* Harvey P. Dale, Oct 05 2022 *)

Formula

8!*a(n) are terms in A014574.