A060971 - OEIS

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A060971

Number of numbers of form p^5, p prime, <= 2^n.

0

0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 3, 3, 3, 4, 4, 4, 5, 6, 6, 7, 8, 9, 9, 11, 11, 13, 15, 16, 18, 21, 23, 25, 29, 31, 34, 39, 44, 47, 54, 62, 68, 76, 86, 97, 107, 122, 137, 154, 172, 193, 217, 244, 275, 309, 349, 393, 442, 499, 564, 635, 712, 807, 914, 1028, 1163, 1315, 1482

(list; graph; refs; listen; history; text; internal format)

OFFSET

0,9

LINKS

Table of n, a(n) for n=0..68.

Index entries for sequences related to numbers of primes in various ranges

EXAMPLE

n=10: 5th powers of prime not exceeding 1024 are: 32,243 so a(10)=2.

MATHEMATICA

Table[ PrimePi[ Floor[ 2^(g/5)//N ] ], {g, 0, 150} ]

CROSSREFS

Cf. A007053, A036386.

Sequence in context: A008680 A120203 A029280 * A283422 A364185 A091946

Adjacent sequences: A060968 A060969 A060970 * A060972 A060973 A060974

KEYWORD

nonn

AUTHOR

Labos Elemer, May 09 2001

EXTENSIONS

Missing a(0)=0 inserted by Sean A. Irvine, Jan 09 2023

STATUS

approved