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A135785 Union of A000040, A001248 and A037074. 0
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 (list; graph; refs; listen; history; internal format)
OFFSET

1,1

COMMENTS

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.

REFERENCES

V. Shevelev, On divisibility of binomial(n-i-1,i-1) by i, International J. of Number Theory, 3,no.1(2007),119-139.

CROSSREFS

Cf. A138389, A000040, A001248, A037074.

Sequence in context: A032515 A024926 A051532 * A008732 A130520 A005706

Adjacent sequences:  A135782 A135783 A135784 * A135786 A135787 A135788

KEYWORD

nonn

AUTHOR

Vladimir Shevelev (shevelev(AT)bgu.ac.il), May 10 2008, May 16 2008

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Last modified February 17 04:26 EST 2012. Contains 205978 sequences.