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A181098
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Primefree centuries (i.e., no prime exists between 100*n and 100*n+99).
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26
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16718, 26378, 31173, 39336, 46406, 46524, 51782, 55187, 58374, 58452, 60129, 60850, 63338, 63762, 67898, 69587, 71299, 75652, 78035, 78269, 80277, 83674, 84213, 89052, 95490, 97080, 100881, 101527, 103438, 105916, 111772, 112967
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OFFSET
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1,1
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COMMENTS
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The first consecutive terms are 473267, 473268; see A190639. - M. F. Hasler, May 15 2011
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LINKS
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T. D. Noe, Table of n, a(n) for n = 1..1000
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FORMULA
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a(n) = n + 100n/log n - O(n/log^2 n). - Charles R Greathouse IV, Sep 08 2017
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EXAMPLE
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16718 is a member because there is no prime between 1671800 and 1671899.
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MATHEMATICA
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Flatten[Position[Differences[PrimePi[100*Range[0, 113000]]], 0]]-1 (* Harvey P. Dale, Dec 18 2021 *)
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PROG
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(PARI) is(n)=nextprime(100*n)>100*n+99 \\ Charles R Greathouse IV, Apr 28 2015
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CROSSREFS
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Cf. A038822 (number of primes between 100n and 100n+99).
Cf. A186393-A186408 (centuries having 1 to 16 primes).
Sequence in context: A345829 A224572 A186311 * A202896 A183727 A128383
Adjacent sequences: A181095 A181096 A181097 * A181099 A181100 A181101
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KEYWORD
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nonn
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AUTHOR
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Jeff Burch, Oct 02 2010
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STATUS
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approved
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