A360841 4-full numbers (A036967) sandwiched between twin primes.

2592, 139968, 995328, 37340352, 63700992, 99574272, 169869312, 414720000, 1399680000, 4076863488, 10871635968, 17714700000, 22781250000, 25312500000, 35888419872, 51840000000, 82012500000, 98802571392, 135304020000, 136136700000, 170749797552, 174960000000, 196730062848

Offset

1,1

Links

Amiram Eldar, Table of n, a(n) for n = 1..1520 (terms below 3*10^19)

Eric Weisstein's World of Mathematics, Twin Primes.

Wikipedia, Powerful number: Generalization.

Index entries for sequences related to powerful numbers.

Example

2592 = 2^5 * 3^4 is a term since it is 4-full and 2591 and 2593 are twin primes.

Mathematica

Select[6*Range[2*10^5], PrimeQ[# - 1] && PrimeQ[# + 1] && Min[FactorInteger[#][[;; , 2]]] > 3 &]

Prog

(PARI) is(n) = isprime(n-1) && isprime(n+1) && vecmin(factor(n)[, 2]) > 3;

Crossrefs

Intersection of A014574 and A036967.

Subsequence of A113839 and A360840.

Sequence in context: A096298 A204782 A204775 * A269192 A033695 A269141

Adjacent sequences: A360838 A360839 A360840 * A360842 A360843 A360844

Keyword

nonn

Author

Amiram Eldar, Feb 23 2023

Status

approved