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Search: id:A082995
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| A082995 |
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Distance from n!+1 to next larger square. |
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+0
1
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| 2, 1, 2, 0, 0, 8, 0, 80, 728, 224, 323, 39168, 82943, 176399, 215295, 3444735, 26167683, 114349224, 255004928, 1158920360, 11638526760, 42128246888, 191052974115, 97216010328, 2430400258224, 1553580508515, 4666092737475
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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The only known values of n such that n!+1 is a perfect square are 4, 5, and 7. Paul Leyland, et al. have found no other solutions for n <= 1 million (see link). For 1 <= n <= 11, n!+1 is within 1000 of being a square. Is there another n such that n!+1 <= "1000 away" from being a perfect square?
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LINKS
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P. Leyland, Solutions to n!+1=m^2.
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EXAMPLE
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a(5)=0 because 5!+1 is a square. a(8)=80 because 8!+1 = 40321 and the next
larger square is 40401, so 40401-40321 = 80.
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CROSSREFS
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Sequence in context: A053796 A029391 A098356 this_sequence A079549 A070088 A131851
Adjacent sequences: A082992 A082993 A082994 this_sequence A082996 A082997 A082998
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KEYWORD
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nonn
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AUTHOR
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Jason Earls (zevi_35711(AT)yahoo.com), May 29 2003
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