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 A116086 Perfect powers n with no primes between n and the next larger perfect power, which is in A116455. 4
 8, 25, 32, 121, 2187, 3125, 32761, 79507, 97336, 503284356 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS No other n<10^12. There is a conjecture that this sequence is finite. No other terms < 10^18. - Jud McCranie, Nov 03 2013 No other terms < 4.5*10^18. - Giovanni Resta, Apr 28 2014 LINKS Wikipedia, Redmond-Sun conjecture EXAMPLE The prime-free ranges are (2^3,3^2), (5^2,3^3), (2^5,6^2), (11^2,5^3), (3^7,13^3), (5^5,56^2), (181^2,2^15), (43^3,282^2), (46^3,312^2), (22434^2,55^5). MATHEMATICA lim=10^12; lst={}; k=2; While[n=Floor[lim^(1/k)]; n>=2, lst=Join[lst, Range[2, n]^k]; k++ ]; lst=Union[lst]; PrimeFree[n1_, n2_] := Module[{n=n1+1}, While[n

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Last modified May 18 23:31 EDT 2022. Contains 353826 sequences. (Running on oeis4.)