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Search: id:A089609
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| A089609 |
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Prime number of primes between squares of consecutive primes; or, primes occurring in A050216. |
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+0
3
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| 2, 5, 11, 47, 163, 89, 463, 479, 199, 107, 241, 151, 709, 151, 599, 313, 547, 211, 613, 859, 863, 241, 1217, 1091, 827, 311, 967, 1327, 691, 1109, 1123, 829, 389, 821, 857, 431, 1301, 433, 1451, 1933, 3449, 5701, 1753, 4663, 563, 3557, 4253, 1867, 4447
(list; graph; listen)
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OFFSET
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0,1
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COMMENT
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For small values of n, these numbers exhibit higher and lower values as n increases. Conjecture: There exists an n such that seq(n1) is < seq(n1+1) for for all n1 >= n.
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PROGRAM
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(PARI) \ prime number of primes between squares. pbetweensq(n) = { for(x=1, n, c=0; for(y=prime(x)^2, prime((x+1))^2, if(isprime(y), c++) ); if(isprime(c), print1(c", ")) ) }
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CROSSREFS
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Cf. A000879, A050216.
Sequence in context: A153989 A160859 A106887 this_sequence A087185 A127010 A131480
Adjacent sequences: A089606 A089607 A089608 this_sequence A089610 A089611 A089612
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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), Dec 30 2003
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EXTENSIONS
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Edited by Ray Chandler (rayjchandler(AT)sbcglobal.net), Jan 05 2004
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