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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
OFFSET
0,9
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
Sequence in context: A008680 A120203 A029280 * A283422 A364185 A091946
KEYWORD
nonn
AUTHOR
Labos Elemer, May 09 2001
EXTENSIONS
Missing a(0)=0 inserted by Sean A. Irvine, Jan 09 2023
STATUS
approved