Thursday, March 24, 2011

Amicable Numbers

220, 284
220 + 284 = 504 = 2^3 * 3^2 * 7

1184, 1210 (discovered by a 16-year-old Italian named Nicolo Paganini)
1184 + 1210 = 2394 = 2 * 3^2 * 7 * 19

17296, 18416
17296 + 18416 = 35712 = 2^7 * 3^2 * 31

9363584, 9437056
9363584 + 9437056 = 18800640 = 2^13 * 3^3 * 5 * 17

666030256, 696630544 whose sum is not divisible by 9 is Poulet's pair
666030256 + 696630544 = 1362660800 = 2^16 * 5^2 * 31 * 83 * 331

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