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A145606
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Largest number x such that x and x+1 are prime(n)-smooth but not prime(n-1)-smooth.
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9
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1, 8, 80, 4374, 9800, 123200, 336140, 11859210, 5142500, 177182720, 1611308699, 3463199999, 63927525375, 421138799639, 1109496723125, 1453579866024, 20628591204480, 31887350832896, 12820120234375, 119089041053696, 2286831727304144, 9591468737351909375, 17451620110781856, 166055401586083680, 49956990469100000, 4108258965739505499, 19316158377073923834000, 386539843111191224
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OFFSET
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1,2
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COMMENTS
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Note that this sequence is not always increasing. For many n, a(n) is the same as A002072(n). See A145605 for a triangle of values.
An effective abc conjecture (c < rad(abc)^2) would imply that a(29)-a(33) is (90550606380841216610, 205142063213188103639, 53234795127882729824, 4114304445616636016031, 124225935845233319439173). - Lucas A. Brown, Sep 20 2020
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LINKS
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Table of n, a(n) for n=1..28.
Jim White, Results to P = 127
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CROSSREFS
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Cf. A002072, A117581, A145605, A175607.
Sequence in context: A222671 A271443 A240325 * A002072 A193943 A067449
Adjacent sequences: A145603 A145604 A145605 * A145607 A145608 A145609
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KEYWORD
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nonn,hard
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AUTHOR
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T. D. Noe, Oct 14 2008
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EXTENSIONS
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Terms a(16) onward by Andrey V. Kulsha, Aug 10 2011, according to Jim White's computations
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STATUS
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approved
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