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A210339
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Generalized Cullen primes: any primes that can be written in the form n*b^n + 1 with n+2 > b > 2.
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4
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19, 193, 52489, 114689, 9000000001, 259374246011, 38280596832649217, 59296646043258913, 408700964355468751, 2434970217729660813313, 13576803638250229989377, 21000000000000000000001, 3140085798164163223281069127, 4818833289797717549937328129
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OFFSET
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1,1
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REFERENCES
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Harvey Dubner, Generalized Cullen numbers, J. Recreational Math. 21 (1989), pp. 190-194.
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LINKS
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EXAMPLE
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81*2^324 + 1 is a prime number and 81*2^324 + 1 = 81*16^81 + 1, so this number is in the sequence.
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MATHEMATICA
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lst = {}; Do[p = n*b^n + 1; If[p < 10^200 && PrimeQ[p], AppendTo[lst, p]], {b, 3, 100}, {n, b - 1, 413}]; Sort@lst
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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