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A360140
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Odd amicable pairs with only one member divisible by 3.
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1
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445953248528881275, 659008669204392325, 748174019876835825, 906104451346869775, 1097581690986390225, 1615281291559017775, 1281431098689616875, 1769164614201263125, 1968382462511781225, 2982869282783783575, 1993991197249826775, 2901232579265245225, 2247817805416685775, 2726235257034514225
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OFFSET
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1,1
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COMMENTS
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In these pairs only the smaller number is divisible by 3 and both the smaller and the larger number are divisible by 5, 7, and 25. These pairs prove that there are odd amicable pairs where only one of the numbers is divisible by 3.
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REFERENCES
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Richard K. Guy, Unsolved Problems in Number Theory. Springer, 2004, page 88.
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LINKS
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EXAMPLE
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(445953248528881275, 659008669204392325) belongs to the sequence since the smaller number is divisible by 3 and the larger is not. The (12285, 14595) pair is not a part of the sequence, since both of its members are divisible by 3.
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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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