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Diff — Perfect number

Revision #1467 → #1778 · back to history

modifiedFirst four perfect numbers from formulaebf999ca5afc
FieldFrom #1467To #1778
anchors[{"section":"Even perfect numbers","snippet":"the first four perfect numbers are generated by the formula"},{"type":"math_alttext","value":"{\\displaystyle {\\begin{aligned}p=2&:\\quad 2^{1}(2^{2}-1)=2\\times 3=6\\\\p=3&:\\quad 2^{2}(2^{3}-1)=4\\times 7=28\\\\p=5&:\\quad 2^{4}(2^{5}-1)=16\\times 31=496\\\\p=7&:\\quad 2^{6}(2^{7}-1)=64\\times 127=8128.\\end{aligned}}}"}][{"section":"Even perfect numbers","snippet":"the first four perfect numbers are generated by the formula"},{"type":"math_alttext","value":"{\\displaystyle {\\begin{aligned}p=2&:\\quad 2^{1}(2^{2}-1)=2\\times 3=6\\\\p=3&:\\quad 2^{2}(2^{3}-1)=4\\times 7=28\\\\p=5&:\\quad 2^{4}(2^{5}-1)=16\\times 31=496\\\\p=7&:\\quad 2^{6}(2^{7}-1)=64\\times 127=8128.\\end{aligned}}}"}]
addedAliquot sequence of a perfect number is constant7846da43837b