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Search: id:A084046
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| A084046 |
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Smallest prime p such that p + n is an n-th power, or 0 if no such number exists. I.e. smallest prime of the form k^n - n. |
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+0
2
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| 2, 2, 5, 0, 1019, 15619, 2799359999993, 6553, 503, 16679880978191, 8293509467471861, 244140613, 8179, 152736582765019941952958691637187, 5097655355238390956017, 0, 18909044154723310956357640154206945542127
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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a(4n^2) = 0. Conjecture: if a(k) = 0 then k is an even square.
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EXAMPLE
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a(5) = 1019 as 1019 + 5 = 1024 = 4^5.
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CROSSREFS
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Cf. A084047.
Sequence in context: A134084 A100247 A011342 this_sequence A016586 A073690 A079301
Adjacent sequences: A084043 A084044 A084045 this_sequence A084047 A084048 A084049
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KEYWORD
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base,nonn
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AUTHOR
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Amarnath Murthy and Meenakshi Srikanth (amarnath_murthy(AT)yahoo.com), May 26 2003
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EXTENSIONS
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More terms from Ray Chandler (rayjchandler(AT)sbcglobal.net), Jun 16 2003
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