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Search: id:A078507
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| A078507 |
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Number of primes between n^3 and (n+1)^3. |
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+0
1
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| 0, 4, 5, 9, 12, 17, 21, 29, 32, 39, 49, 52, 58, 73, 76, 88, 92, 109, 117, 125, 140, 151, 159, 176, 188, 199, 207, 233, 247, 254, 267, 284, 305, 320, 346, 338, 373, 385, 416, 418, 437, 458, 481, 504, 517, 551, 555, 583, 599, 636, 648, 678, 686, 733, 723, 753, 810
(list; graph; listen)
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OFFSET
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0,2
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COMMENT
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Conjecture: There is always more than 3 primes between two consecutive non 0 cubes.
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EXAMPLE
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n = 2: there are 5 primes between 8 and 27, 11,13,17,19,23
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PROGRAM
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(PARI) cubespr(n) = { for(x=0, n, ct=0; for(y=x^3, (x+1)^3, if(isprime(y), ct++; ); ); if(ct>=0, print1(ct" "); ) ) }
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CROSSREFS
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Cf. A014085.
Sequence in context: A010405 A125603 A060199 this_sequence A034705 A006844 A022425
Adjacent sequences: A078504 A078505 A078506 this_sequence A078508 A078509 A078510
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KEYWORD
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easy,nonn
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AUTHOR
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Cino Hilliard (hillcino368(AT)gmail.com), Jan 05 2003
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