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Search: id:A062241
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| A062241 |
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Smallest integer >= 2 that is not the sum of 2 positive integers whose prime factors are all less than p(n), the n-th prime. |
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+0
3
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| 3, 7, 23, 71, 311, 479, 1559, 5711, 10559, 18191, 31391, 118271, 366791, 366791, 2155919, 2155919, 2155919, 6077111, 6077111, 98538359, 120293879, 131486759, 131486759
(list; graph; listen)
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OFFSET
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0,1
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COMMENT
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Here we are taking 1 to be the zeroth prime.
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REFERENCES
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Computed by David W. Wilson (davidwwilson(AT)comcast.net), Jun 29, 2001.
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EXAMPLE
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a(1): 2=1+1, 3=1+2, 4=2+2, 5=1+4, 6=2+4, but 7 cannot be written as the sum of two positive integers whose prime factors are all <= 2, so a(1) = 7. a(2): 7=3+4, 8=4+4, 9=1+8, ..., 22=4+18, but 23 cannot be so written, so a(2) = 23.
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CROSSREFS
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So far it agrees with A045535. Is this a coincidence or a theorem?
Sequence in context: A045723 A140456 A066768 this_sequence A000229 A133435 A079061
Adjacent sequences: A062238 A062239 A062240 this_sequence A062242 A062243 A062244
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KEYWORD
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nonn,nice
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AUTHOR
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Richard Schroeppel (rschroe(AT)sandia.gov), Jun 27 2001
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EXTENSIONS
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More terms from Jud McCranie (j.mccranie(AT)comcast.net), Nov 01 2001
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