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Search: id:A117491
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| A117491 |
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The number of primes between n and n^3 (with n and n^3 excluded). |
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+0
2
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| 0, 3, 7, 16, 27, 44, 64, 93, 125, 164, 212, 264, 321, 394, 470, 558, 649, 758, 874, 999, 1139, 1290, 1448, 1624, 1812, 2011, 2218, 2451, 2697, 2951, 3217, 3501, 3806, 4126, 4472, 4810, 5182, 5567, 5983, 6401, 6837, 7295, 7775, 8279, 8796, 9347, 9901, 10484
(list; graph; listen)
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OFFSET
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0,2
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EXAMPLE
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n=3 between 3+1 = 4 and 3^3-1 = 26 there are the following primes: 5, 7, 11, 13, 17, 19, 23. Therefore the number of primes is 7.
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MAPLE
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P:=proc(n) local i, j, np; for i from 1 by 1 to n do np:=0; for j from i+1 by 1 to i^3-1 do if isprime(j) then np:=np+1; fi; od; print(np); od; end: P(100);
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CROSSREFS
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Cf. A060715, A117490.
Sequence in context: A004782 A116040 A036666 this_sequence A110585 A000412 A161810
Adjacent sequences: A117488 A117489 A117490 this_sequence A117492 A117493 A117494
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KEYWORD
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easy,nonn
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AUTHOR
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Paolo P. Lava & Giorgio Balzarotti (ppl(AT)spl.at), Mar 22 2006
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