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A084573
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Let a(1)=1; for n>1, a(n)=nextprime( a(n-1)^(n/(n-1)) ).
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0
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1, 2, 3, 5, 11, 19, 37, 67, 127, 223, 383, 659, 1151, 1987, 3433, 5923, 10211, 17579, 30259, 52103, 89689, 154387, 265747, 457421, 787357, 1355261, 2332783, 4015339, 6911461, 11896457, 20476933, 35246203, 60668017, 104425627, 179743997
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OFFSET
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1,2
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COMMENTS
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Limit of a(n+1)/a(n) -> 1.7212631438796...
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LINKS
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MATHEMATICA
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RecurrenceTable[{a[1]==1, a[n]==NextPrime[a[n-1]^(n/(n-1))]}, a, {n, 40}] (* Harvey P. Dale, Mar 29 2013 *)
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PROG
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(PARI) a(n)=if(n<2, 1, nextprime(a(n-1)^(n/(n-1)))); for(n=1, 50, print1(a(n), ", "))
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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