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A259923
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a(n) = prime(n)^pi(n).
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0
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1, 3, 25, 49, 1331, 2197, 83521, 130321, 279841, 707281, 28629151, 69343957, 4750104241, 6321363049, 10779215329, 22164361129, 2488651484819, 3142742836021, 406067677556641, 645753531245761, 806460091894081, 1517108809906561, 186940255267540403, 350356403707485209, 760231058654565217
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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 * log n)^(n/log(n)), by the prime number theorem.
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EXAMPLE
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For n = 1, a(1) = 2^0 = 1.
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MATHEMATICA
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Table[Prime[n]^PrimePi[n], {n, 1, 25}]
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PROG
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(PARI) vector(30, n, prime(n)^primepi(n)) \\ Michel Marcus, Jul 09 2015
(Magma) [NthPrime(n)^#PrimesUpTo(n): n in [1..30]]; // Vincenzo Librandi, Aug 03 2015
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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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