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Search: id:A064820
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| A064820 |
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Product_{k=1..4*n-9} p(k) - p(4n)^4 where p(i) = i-th prime. |
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+0
1
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| -1874131, -7379971, 200535078449, 614889782525749169, 7858321551080266924799489, 267064515689275851355623723492869, 23984823528925228172706521638691738510609, 4014476939333036189094441199026045136644989502689, 1492182350939279320058875736615841068547583863325477042409
(list; graph; listen)
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OFFSET
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3,1
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COMMENT
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It is known that a(n) > 0 for n >= 5.
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REFERENCES
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S. E. Mamangakis, Synthetic proofs of some prime number inequalities, Duke Math. J., 29 (1962), 471-473.
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LINKS
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Harry J. Smith, Table of n, a(n) for n=3,...,50
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PROGRAM
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(PARI) { for (n=3, 50, p=prod(k=1, 4*n-9, prime(k)); write("b064820.txt", n, " ", p - prime(4*n)^4) ) } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Sep 27 2009]
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CROSSREFS
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Sequence in context: A115495 A015347 A145276 this_sequence A032595 A032596 A032597
Adjacent sequences: A064817 A064818 A064819 this_sequence A064821 A064822 A064823
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KEYWORD
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sign
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com), Oct 23 2001
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