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Search: id:A136295
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| A136295 |
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Multiples of 100 which begin a span of 100 composite numbers. |
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+0
1
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| 1671800, 2637800, 3117300, 3933600, 4640600, 4652400, 5178200, 5518700, 5837400, 5845200, 6012900, 6085000, 6333800, 6376200, 6789800, 6958700, 7129900, 7565200, 7803500, 7826900, 8027700, 8367400, 8421300, 8905200
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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As numbers become large, the proportion of centuries with no primes increases according to the prime number theorem.
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REFERENCES
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J. W. L. Glaisher, Factor table for the sixth million : containing the least factor of every number not divisible by 2,3, or 5 between 5,000,000 and 6,000,000; Taylor and Francis, 1883
J. Murray, Report of the Annual Meeting, British Association for the Advancement of Science, Vol. 50 (1881), p. 308.
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EXAMPLE
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a(2) = 2637800 because there is a prime gap of 112 from 2637799 to 2637911, which makes the century from 2637800 to 2637899 the second one consisting wholly of composite numbers.
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CROSSREFS
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Cf. A091089, A002386.
Adjacent sequences: A136292 A136293 A136294 this_sequence A136296 A136297 A136298
Sequence in context: A144127 A072922 A061127 this_sequence A126437 A016868 A016916
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KEYWORD
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hard,nonn
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AUTHOR
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Julien Peter Benney (jpbenney(AT)gmail.com), Mar 21 2008
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EXTENSIONS
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Definition clarified by Don Reble, Sep 06 2008
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