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A306720
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Even numbers that are not the sum of two unitary abundant numbers (not necessarily distinct).
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1
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2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42, 44, 46, 48, 50, 52, 54, 56, 58, 62, 64, 66, 68, 70, 74, 76, 78, 80, 82, 86, 88, 90, 92, 94, 98, 102, 104, 106, 110, 114, 116, 118, 122, 124, 126, 128, 130, 134, 138, 142, 146, 150
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OFFSET
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1,1
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COMMENTS
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a(6066) = 530086 is the last term. te Riele proved that every even number larger than 530086 is the sum of two unitary abundant numbers (not necessarily distinct). The corresponding sequence of odd numbers is also finite, but he did not calculate the last term, and only showed that it is below 2004452254833.
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LINKS
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EXAMPLE
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Since the unitary abundant numbers begin with 30, 42, 66, 70, ... the first integers which are missing from this sequence are 60 = 30 + 30, 72 = 30 +42, 84 = 42 + 42, 96 = 30 + 66, 100 = 30 + 70, ...
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CROSSREFS
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KEYWORD
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nonn,fini,full
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AUTHOR
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STATUS
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approved
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