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A080340
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First known infinite sequence containing no odd integer of the form 2^m+p (p prime).
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3
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7629217, 18814027, 29998837, 41183647, 52368457, 63553267, 74738077, 85922887, 97107697, 108292507, 119477317, 130662127, 141846937, 153031747, 164216557, 175401367, 186586177, 197770987, 208955797, 220140607, 231325417, 242510227
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OFFSET
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0,1
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COMMENTS
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To a question of Romanoff: Are there infinitely many odd integers not of the form 2^m+p where p is prime? Erdõs answered Yes in 1950 by constructing the present sequence, an infinite arithmetic sequence, using a system of congruences.
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LINKS
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FORMULA
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a(n) = n*11184810 + 7629217.
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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