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Search: id:A075824
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| A075824 |
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Odd numbers that cannot be expressed as 2^n-3^m where n and m are integers. |
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1
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| 9, 11, 17, 19, 21, 25, 27, 33, 35, 39, 41, 43, 45, 49, 51, 53, 57, 59, 65, 67, 69, 71, 73, 75, 77, 79, 81, 83, 85, 87, 89, 91, 93, 95, 97, 99, 103
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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Presumably these values are just conjectures. Compare A074981. - N. J. A. Sloane (njas(AT)research.att.com), Oct 14 2002
More precisely, the numbers shown cannot be represented as 2^n-3^m with n and m less than 16. - Felice Russo, Feb 02, 2009
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REFERENCES
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R. K. Guy, Unsolved Problems in Number Theory, D9.
T. N. Shorey and R. Tijdeman, Exponential Diophantine Equations, Cambridge University Press, 1986.
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LINKS
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T. Metsankyla, Catalan's Conjecture : Another old Diophantine problem solved
Wikipedia, Catalan's conjecture
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EXAMPLE
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5 doesn't belong to the sequence because it can be expressed as 2^3-3^1
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CROSSREFS
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Sequence in context: A027694 A063191 A048464 this_sequence A108113 A111391 A077788
Adjacent sequences: A075821 A075822 A075823 this_sequence A075825 A075826 A075827
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KEYWORD
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nonn,more
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AUTHOR
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Felice Russo (felice.russo(AT)katamail.com), Oct 14 2002
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EXTENSIONS
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Inserted "odd" in definition. - N. J. A. Sloane (njas(AT)research.att.com), Jan 30 2009
Jon Schoenfield observed that 49 was missing, Jan 30 2009
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