A360843 6-full numbers (A069493) sandwiched between twin primes.

139968, 98802571392, 174960000000, 889223142528, 1594323000000, 2348273369088, 19144761127488, 28697814000000, 56358560858112, 84537841287168, 150289495621632, 186624000000000, 328341017826432, 369056250000000, 392147405854848, 578415690713088, 597871125000000

Offset

1,1

Links

Amiram Eldar, Table of n, a(n) for n = 1..74 (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

139968 = 2^6 * 3^7 is a term since it is 6-full and 139967 and 139969 are twin primes.

Mathematica

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

Prog

(PARI) is(n) = isprime(n-1) && isprime(n+1) && vecmin(factor(n)[, 2]) > 5;

Crossrefs

Intersection of A014574 and A069493.

Subsequence of A113839, A360840, A360841 and A360842.

Sequence in context: A252588 A360842 A252902 * A242143 A156409 A281583

Adjacent sequences: A360840 A360841 A360842 * A360844 A360845 A360846

Keyword

nonn

Author

Amiram Eldar, Feb 23 2023

Status

approved