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A062619
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Numbers k such that 53^k - 52^k is a prime.
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0
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3, 19, 29, 37, 1879, 3181, 3331, 19597, 38993, 84239, 90679
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OFFSET
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1,1
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COMMENTS
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Terms greater than 1000 often correspond only to strong pseudoprimes. [Clarified by M. F. Hasler, Sep 15 2013]
To elaborate on Robert Price's comment that all terms are prime: This is also true for all other sequences of numbers n such that k^n - (k-1)^n is prime. It is easy to prove by elementary means that if n = a * b, then k^n - (k-1)^n is divisible by k^(n-a) - (k-1)^(n-a) and k^(n-b) - (k-1)^(n-b). - Alonso del Arte, Sep 15 2013
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LINKS
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CROSSREFS
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KEYWORD
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nonn,hard
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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