login
A118859
Numbers k such that k-1, k+1, 2*k-1, 2*k+1, 3*k-1 and 3*k+1 are primes.
4
6, 53550, 420420, 422310, 1624350, 2130240, 3399900, 5199810, 5246010, 6549270, 7384440, 7775880, 9516570, 9565710, 10430280, 11845260, 13207950, 14562870, 14619990, 18747960, 20099940, 21596820, 21968100, 24358950, 24610740, 26916120, 28359240, 30838080
OFFSET
1,1
EXAMPLE
6 is there because 5, 7, 11, 13, 17, 19 are all prime.
MATHEMATICA
Select[Range[25*10^6], AllTrue[Flatten[{#+{1, -1}, 2#+{1, -1}, 3#+{1, -1}}], PrimeQ]&] (* The program uses the AllTrue function from Mathematica version 10 *) (* Harvey P. Dale, Sep 13 2016 *)
CROSSREFS
KEYWORD
nonn
AUTHOR
Labos Elemer, May 03 2006
EXTENSIONS
Edited by Don Reble, May 16 2006
a(26)-a(28) from Jon E. Schoenfield, Dec 07 2021
STATUS
approved