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Search: id:A102643
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| A102643 |
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A006530(x)=2 is a local minimum if x=2^n. Running upward with argument x, the largest prime divisor should increase. The value of first peak is a(n). |
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+0
5
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| 3, 5, 11, 17, 17, 13, 43, 257, 257, 41, 683, 4099, 2731, 2731, 331, 65537, 65537, 262147, 174763, 174763, 61681, 199729, 2796203, 2796203, 4051, 9586981, 87211, 15790321, 15790321, 1073741827, 715827883, 715827883, 6700417, 26317, 86171
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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We may call these terms "upward-zenith-primes" belonging to 2^n-s. They do not exceed next-primes after 2^n [A0014210(n)].
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EXAMPLE
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n=22: 2^22=4194304; largest prime divisors for n+j, j=0, 1, 2, ... are {2, 2113, 5419, 16981, 61681, 199729, 7109}. The first peak after 2^22=4194304 is a(22)=199729.
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CROSSREFS
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Cf. A006530, A102640, A102641, A102642, A102644, A014210.
Adjacent sequences: A102640 A102641 A102642 this_sequence A102644 A102645 A102646
Sequence in context: A074820 A006169 A088328 this_sequence A125631 A045408 A092740
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KEYWORD
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nonn
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AUTHOR
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Labos E. (labos(AT)ana.sote.hu), Jan 21 2005
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