OFFSET
1,1
COMMENTS
All terms of this sequence are divisible by 4.
EXAMPLE
4 = 2^2 (between 1, 2 which is a prime number, 3 which is a prime number and 5 which is a prime number, 6 = 2 * 3 and 7 which is a prime number ).
32 = 2^5 (between 29 which is a prime number, 30 = 2 * 3 * 5, 31 which is a prime number and 33 = 3 * 11, 34 = 2 * 17 and 35 = 5 * 7).
36 = 2^2 * 3^2 (between 33 = 3 * 11, 34 = 2 * 17, 35 = 5 * 7 and 37 which is a prime number, 38 = 2 * 19 and 39 = 3 * 13).
MATHEMATICA
Select[Range[60000], GCD @@ FactorInteger[#][[;; , 2]] > 1 && And @@ SquareFreeQ /@ (# + {-3, -2, -1, 1, 2, 3}) &] (* Amiram Eldar, Jun 13 2024 *)
CROSSREFS
KEYWORD
nonn
AUTHOR
Massimo Kofler, Jun 13 2024
STATUS
approved