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Search: id:A135785
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| 2, 3, 4, 5, 7, 9, 11, 13, 15, 17, 19, 23, 25, 29, 31, 35, 37, 41, 43, 49, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 101, 103, 107, 109, 113, 121, 127, 131, 137, 139, 143
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OFFSET
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1,1
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COMMENT
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a(n) possesses the following property: every i not exceeding a(n)/2 for which (a(n),i)>1 does not divide binomial(a(n)-i-1,i-1). Numbers with this property are called "binomial primes". There exist only nine binomial primes which are not terms of this sequence:1,6,8,10,12,20,21,24,33.
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REFERENCES
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V. Shevelev, On divisibility of binomial(n-i-1,i-1) by i, International J. of Number Theory, 3,no.1(2007),119-139.
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CROSSREFS
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Cf. A138389, A000040, A001248, A037074.
Adjacent sequences: A135782 A135783 A135784 this_sequence A135786 A135787 A135788
Sequence in context: A032515 A024926 A051532 this_sequence A008732 A130520 A005706
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KEYWORD
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nonn
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AUTHOR
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Vladimir Shevelev (shevelev(AT)bgu.ac.il), May 10 2008, May 16 2008
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