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%I #24 Mar 22 2024 03:46:32
%S 16718,26378,31173,39336,46406,46524,51782,55187,58374,58452,60129,
%T 60850,63338,63762,67898,69587,71299,75652,78035,78269,80277,83674,
%U 84213,89052,95490,97080,100881,101527,103438,105916,111772,112967
%N Primefree centuries (i.e., numbers k such that no prime exists between 100*k and 100*k+99).
%C The first consecutive terms are 473267, 473268; see A190639. - _M. F. Hasler_, May 15 2011
%H T. D. Noe, <a href="/A181098/b181098.txt">Table of n, a(n) for n = 1..1000</a>
%F a(n) = n + 100n/log n - O(n/log^2 n). - _Charles R Greathouse IV_, Sep 08 2017
%e 16718 is a term because there is no prime between 1671800 and 1671899.
%t Flatten[Position[Differences[PrimePi[100*Range[0,113000]]],0]]-1 (* _Harvey P. Dale_, Dec 18 2021 *)
%o (PARI) is(n)=nextprime(100*n)>100*n+99 \\ _Charles R Greathouse IV_, Apr 28 2015
%Y Cf. A038822 (number of primes between 100n and 100n+99), A186311 (first occurrences).
%Y Cf. A186393-A186408 (1 to 16 primes), A186509 (17 primes), A361723 (18 primes).
%K nonn
%O 1,1
%A _Jeff Burch_, Oct 02 2010
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