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A123129
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a(n) = ( n + prime(n+1) - prime(n) )^(n-1).
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1
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1, 4, 25, 512, 2401, 100000, 531441, 35831808, 2562890625, 5159780352, 2015993900449, 17592186044416, 129746337890625, 20822964865671168, 3243919932521508681, 136880068015412051968, 288441413567621167681
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OFFSET
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1,2
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LINKS
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FORMULA
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a(n) = ( n + prime(n+1) - prime(n) )^(n-1) = ( n + A001223(n) )^(n-1).
a(n) = (A014690(n) - prime(n))^(n-1) = (A095116(n+1) - prime(n))^(n-1).
a(n) = (prime(n+1) - A014689(n))^(n-1). (End)
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MATHEMATICA
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Table[(n +Prime[n+1] -Prime[n])^(n-1), {n, 1, 30}] (* G. C. Greubel, Aug 04 2021 *)
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PROG
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(PARI) for(n=1, 25, print1( (prime(n+1) -prime(n) +n)^(n-1), ", "))
(Sage) [(n + nth_prime(n+1) - nth_prime(n))^(n-1) for n in (1..30)] # G. C. Greubel, Aug 04 2021
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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Herman Jamke (hermanjamke(AT)fastmail.fm), Sep 30 2006
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STATUS
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approved
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