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Search: id:A084047
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| A084047 |
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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, 3, 11, 5, 37, 7, 268435463, 6569, 521, 11, 36028797018963979, 13, 859935929762876868984659981, 4807339234680508004200143948920808143, 32783, 17, 30491346729331195921, 19, 32064977213018365645815827
(list; graph; listen)
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OFFSET
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1,1
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EXAMPLE
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a(2) = 3 = 1^2 + 2; a(4) = 5 = 1^4 + 4; a(6) = 7 = 1^6 + 6. In general, if n+1 is prime, then a(n) = n+1 = 1^n+n.
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CROSSREFS
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Cf. A084046.
Sequence in context: A039654 A075240 A137332 this_sequence A127376 A086146 A082618
Adjacent sequences: A084044 A084045 A084046 this_sequence A084048 A084049 A084050
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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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Corrected and extended by Ray Chandler (rayjchandler(AT)sbcglobal.net), Jun 16 2003
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