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Search: id:A072591
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A072591 In prime factorization of n replace multiplication by bitwise logical 'and'. +0
4
1, 2, 3, 2, 5, 2, 7, 2, 3, 0, 11, 2, 13, 2, 1, 2, 17, 2, 19, 0, 3, 2, 23, 2, 5, 0, 3, 2, 29, 0, 31, 2, 3, 0, 5, 2, 37, 2, 1, 0, 41, 2, 43, 2, 1, 2, 47, 2, 7, 0, 1, 0, 53, 2, 1, 2, 3, 0, 59, 0, 61, 2, 3, 2, 5, 2, 67, 0, 3, 0, 71, 2, 73, 0, 1, 2, 3, 0, 79, 0, 3, 0, 83, 2, 1, 2, 1, 2, 89, 0, 5, 2, 3, 2 (list; graph; listen)
OFFSET

1,2

COMMENT

a(n) = a(A007947(n)); n is prime iff a(n)=n;

a(n)=0 iff n is even and one prime factor is of form 4*k+1.

EXAMPLE

a(35) = a(5*7) = a(5) 'and' a(7) = '101' and '111' = '101' = 5.

CROSSREFS

Cf. A072593, A072594, A072592.

Sequence in context: A099552 A076199 A136096 this_sequence A085308 A086286 A135679

Adjacent sequences: A072588 A072589 A072590 this_sequence A072592 A072593 A072594

KEYWORD

nonn

AUTHOR

Reinhard Zumkeller (reinhard.zumkeller(AT)lhsystems.com), Jun 23 2002

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Last modified July 25 07:41 EDT 2008. Contains 142293 sequences.


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