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Search: id:A063789
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| A063789 |
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Largest prime gap between n^2 and (n + 1)^2. |
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+0
1
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| 1, 2, 2, 4, 2, 4, 6, 6, 8, 4, 6, 6, 10, 12, 10, 6, 14, 10, 8, 10, 12, 12, 10, 10, 12, 10, 8, 12, 14, 10, 12, 18, 22, 12, 18, 34, 18, 12, 14, 20, 12, 16, 18, 22, 14, 24, 16, 22, 14, 22, 14, 14, 18, 28, 20, 26, 28, 20, 12, 16, 22, 20, 22, 24, 30, 18, 24, 18, 30, 16, 28, 24, 30, 32
(list; graph; listen)
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OFFSET
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1,2
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LINKS
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Harry J. Smith, Table of n, a(n) for n=1,...,2000
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EXAMPLE
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Primes between 64=8^2 and 81=(8+1)^2: 67, 71, 73 and 79; so 79-73=6=a(8)
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PROGRAM
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(PARI) { for (n=1, 2000, p=nextprime(n^2); q=precprime((n + 1)^2); a=0; r=0; while (r<q, r=nextprime(p+1); g=r-p; p=r; if (g>a, a=g)); write("b063789.txt", n, " ", a) ) } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Aug 31 2009]
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CROSSREFS
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Sequence in context: A059214 A091820 A140821 this_sequence A106264 A152423 A035096
Adjacent sequences: A063786 A063787 A063788 this_sequence A063790 A063791 A063792
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KEYWORD
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nonn
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AUTHOR
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Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Aug 17 2001
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