A259923 a(n) = prime(n)^pi(n).

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

Offset

1,2

Links

Table of n, a(n) for n=1..25.

Formula

a(n) = A000040(n)^A000720(n).

a(n) ~ (n * log n)^(n/log(n)), by the prime number theorem.

Example

For n = 1, a(1) = 2^0 = 1.

Mathematica

Table[Prime[n]^PrimePi[n], {n, 1, 25}]

Prog

(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

Crossrefs

Cf. A000040, A000720.

Cf. A062457.

Sequence in context: A354725 A051280 A145609 * A120285 A041897 A356594

Adjacent sequences: A259920 A259921 A259922 * A259924 A259925 A259926

Keyword

nonn

Author

Ilya Gutkovskiy, Jul 09 2015

Status

approved