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Perfect Numbers
How to find a Perfect Number
History
The first four perfect numbers are made by the formula 2p−1(2p−1), with p a prime number, as follows:
for p = 2: 2(4−1) = 6
for p = 3: 4(8−1) = 28
for p = 5: 16(32−1) = 496
for p = 7: 64(32−1) = 8128.
These first four perfect numbers were the only ones known to early Greek mathematics, and the mathematician Nicomachus had noted 8128 as early as 100 AD. In a manuscript written between 1456 and 1461, an unknown mathematician recorded the earliest reference to a fifth perfect number, with 33,550,336 being correctly identified for the first time. In 1588, the Italian mathematician Pietro Cataldi identified the sixth (8,589,869,056) and the seventh (137,438,691,328) perfect numbers
Perfect Number
Loai Hamdeh
5/18/14
8-H