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Search: id:A108023
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| A108023 |
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a(1)=2; a(n) is the smallest prime such that a(n)-a(n-1) is a 6th power (>0). |
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+0
1
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| 2, 3, 67, 131, 2176782467, 22485250805891, 132514367714796227, 132514373203827971, 1472610013828827971, 3552822265021773233027, 3552822910800868882883, 3552824349717606382019, 3552824349723095413763
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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Since a(5) is 6 mod 7, all entries after a(5) are congruent to a(5) mod 14^6
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EXAMPLE
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a(4)=131 which is 2 mod 3 so if 131 +k^6 is prime, k must be divisible by 6. 131+6^6 and 131+24^6 are divisible by 13, 131 +12^6 and 131+18^6 are divisible by 5, 131+30^6 is divisible by 41, 131+36^6 is prime.
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CROSSREFS
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Cf. A073609, A076201.
Sequence in context: A041953 A099080 A132532 this_sequence A041249 A132598 A115892
Adjacent sequences: A108020 A108021 A108022 this_sequence A108024 A108025 A108026
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KEYWORD
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nonn
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AUTHOR
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John L. Drost (drost(AT)marshall.edu), May 31 2005
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EXTENSIONS
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Corrected by T. D. Noe (noe(AT)sspectra.com), Nov 15 2006
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