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Search: id:A159698
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| A159698 |
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Minimal increasing recursive sequence beginning with 3 which is similar to N with respect to property of an integer: to be or not to be prime |
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+0
3
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| 4, 5, 7, 8, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 29, 30, 32, 33, 37, 38, 39, 40, 42, 44, 47
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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For n>=11, a(n)=A159559(n-1). If to denote {a_(p-1)(n)}, where p>=5 is prime, the minimal increasing recursive sequence beginning with p-1 which is similar to N with respect to the considered property of an integer, then, for sufficiently large n, a_(6)(n)=a_(10)(n)=a_(12)(n)=a(n). Is it true for p>=17?
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LINKS
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V. Shevelev Several results on sequences which are similar to the positive integers
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FORMULA
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a(1)=4; for n>=1, a(n+1)=min{m>a(n), m is prime},if n+1 is prime; otherwise, a(n+1)=min{m>a(n),m is composite}.
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CROSSREFS
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A159559 A159560 A159615 A159619 A159629
Sequence in context: A032722 A098416 A005556 this_sequence A047377 A032714 A032702
Adjacent sequences: A159695 A159696 A159697 this_sequence A159699 A159700 A159701
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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), Apr 20 2009, May 04 2009
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