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Search: id:A095682
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| A095682 |
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Primitive 1+prime power perfect numbers: if n=Product p_i^r_i then 1PPsigma(n)= Product {Sum p_i^r_i, 1<=s_i<=r_i, s_i is one or prime} 1PPsigma(n)=2*n. |
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1
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OFFSET
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1,1
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COMMENT
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Factorizations: 2^2*3^2, 2^3*7^2, 2^5*3^2*23^2, 2^13*3^2*7^2*41^2, 2^7*3^5*5^2*29^2*47^2. No square-free solution exists.
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EXAMPLE
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1PPsigma(2^5*3^3)=(2+2^2+2^3+2^5)*(3+3^2+3^3)=1794
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CROSSREFS
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Cf. A096290.
Sequence in context: A071232 A135828 A034686 this_sequence A083811 A086575 A055862
Adjacent sequences: A095679 A095680 A095681 this_sequence A095683 A095684 A095685
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KEYWORD
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nonn
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AUTHOR
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Yasutoshi Kohmoto (zbi74583(AT)boat.zero.ad.jp)
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