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A192320 Numbers k for which there are no prime numbers in the range (k-4*sqrt(sqrt(k)), k]. 2

%I #13 Feb 24 2019 04:13:08

%S 1,1352,1353,1354,1355,1356,1357,1358,1359,1360,19657,19658,19659,

%T 19660,25522,31451,31452,31453,31454,31455,31456,31457,31458,31459,

%U 31460,31461,31462,31463,31464,31465,31466,31467,31468,34116,34117,34118,34119,34120,34121,34122

%N Numbers k for which there are no prime numbers in the range (k-4*sqrt(sqrt(k)), k].

%C a(69) = 492226 is probably the last term. Any further terms must be greater than 1.5 * 10^18. [_Charles R Greathouse IV_, Jun 27 2011]

%H Charles R Greathouse IV, <a href="/A192320/b192320.txt">Table of n, a(n) for n = 1..69</a>

%p isA192320 := proc(n) floor( n-4*root[4](n)) ; nextprime(%) > n ; end proc:

%p for n from 1 do if isA192320(n) then printf("%d,\n",n) ;end if; end do: # _R. J. Mathar_, Jun 29 2011

%o (PARI) isA192320(n)=nextprime(floor(n+1-4*n^.25))>n \\ _Charles R Greathouse IV_, Jun 27 2011

%Y Subsequence of A192231.

%Y Cf. A000040, A001223, A005669.

%K nonn

%O 1,2

%A _Juri-Stepan Gerasimov_, Jun 27 2011

%E a(15) inserted, a(25) and a(34)-a(40) corrected by _Charles R Greathouse IV_, Jun 27 2011

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Last modified April 25 11:16 EDT 2024. Contains 371967 sequences. (Running on oeis4.)