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Search: id:A157200
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| A157200 |
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Numbers n such that n*(2n)^n-1 is a prime. |
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1
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OFFSET
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1,1
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COMMENT
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Conjecture: there are infinite numbers of such kind of primes.
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EXAMPLE
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n=2, 2*(2*2)^2-1 = 31 is a prime number; n=3, 3^(2*3)^2-1 = 107 is a prime number; and so on
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MATHEMATICA
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Do[cp=n*(2*n)^n-1; If[PrimeQ[cp], Print[n]], {n, 1, 2000}] This generate the listed first 10 elements.
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CROSSREFS
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Sequence in context: A064689 A144120 A073712 this_sequence A167415 A018511 A092482
Adjacent sequences: A157197 A157198 A157199 this_sequence A157201 A157202 A157203
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KEYWORD
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hard,nice,nonn
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AUTHOR
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Lei Zhou (lzhou5(AT)emory.edu), Feb 25 2009
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