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A101405 n^(pi(n-1)). 1
1, 1, 3, 16, 25, 216, 343, 4096, 6561, 10000, 14641, 248832, 371293, 7529536, 11390625, 16777216, 24137569, 612220032, 893871739, 25600000000, 37822859361, 54875873536, 78310985281, 2641807540224, 3814697265625, 5429503678976 (list; graph; refs; listen; history; internal format)
OFFSET

1,3

COMMENTS

pi(n) (A000720) is the number of prime numbers less than or equal to n.

EXAMPLE

a(5)=25 because a(5)= 5^(pi(4))= 5^2= 25

If n=10, m=4, so 10^4 = 10000.

MATHEMATICA

Table[n^PrimePi[n - 1], {n, 30}]

CROSSREFS

Cf. A000720.

Sequence in context: A153723 A091273 A132049 * A193367 A013196 A196264

Adjacent sequences:  A101402 A101403 A101404 * A101406 A101407 A101408

KEYWORD

nonn

AUTHOR

Parthasarathy Nambi (PachaNambi(AT)yahoo.com), Jan 15 2005

EXTENSIONS

Extended by Ray Chandler (rayjchandler(AT)sbcglobal.net), Jan 18 2005

Edited by N. J. A. Sloane (njas(AT)research.att.com) at the suggestion of Andrew Plewe, Jun 16 2007

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Last modified February 15 10:28 EST 2012. Contains 205763 sequences.