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Search: id:A115090
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A115090 a(n) = A115074(n) - A117183(n). +0
3
0, 0, 0, 1, 0, 1, 3, 1, 0, 0, 5, 0, 1, 3, 9, 2, 1, 0, 3, 11, 1, 5, 3, 4, 0, 15, 1, 2, 17, 3, 0, 5, 9, 3, 21, 1, 5, 8, 3, 11, 1, 5, 27, 10, 3, 0, 29, 0, 5, 0, 9, 2, 15, 5, 1, 4, 35, 3, 17, 14, 11, 3, 1, 39, 5, 0, 16, 41, 2, 9, 3, 21, 45, 4, 1, 5, 9, 3, 15, 20, 11, 51, 1, 9, 5, 2, 17, 27, 11, 57, 3, 9, 0 (list; graph; listen)
OFFSET

1,7

COMMENT

The union of A115090 is the complement of A007921: numbers that are not the difference of two primes. - Robert G. Wilson v (rgwv(at)rgwv.com), Mar 09 2006

EXAMPLE

12, the 4th non-squarefree positive integer, is 2^2 * 3. 3 is the largest prime dividing 12. 2 is the smallest prime dividing 12. So a(4) = 3 - 2 = 1.

MATHEMATICA

Needs["NumberTheory`NumberTheoryFunctions`"]; (Max@# - Min@#) & /@ (First /@ FactorInteger@# & /@ Select[ Range@243, !SquareFreeQ@# &]) - Robert G. Wilson v (rgwv(at)rgwv.com), Mar 09 2006

CROSSREFS

Cf. A117183, A115074.

Sequence in context: A059202 A144452 A058865 this_sequence A112295 A110517 A091925

Adjacent sequences: A115087 A115088 A115089 this_sequence A115091 A115092 A115093

KEYWORD

nonn

AUTHOR

Leroy Quet (q1qq2qqq3qqqq(AT)yahoo.com), Mar 01 2006

EXTENSIONS

More terms from Robert G. Wilson v (rgwv(at)rgwv.com), Mar 09 2006

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Last modified December 4 21:35 EST 2008. Contains 151309 sequences.


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