| Примеры использования: |
"Pythagoras knew the smallest amicable numbers, 220 and 284, and saw them as a symbol of friendship among people (the divisors of 220 are 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, and their sum is 284; the divisors of 284 are 1, 2, 4, 71, 142, and their sum is 220). Though Pythagoras and his students, and many generations after, gave symbolic importance to amicable numbers, only in 1636 Fermat found another pair of such numbers, 17,296 and 18,416, and Descartes found some time later a third pair, 9,363,584 and 9,437,056. In the eighteenth century, Euler published a list of 64 pairs of amicable numbers (two of these pairs were found to be wrong), and Legendre succeeded to find one more pair in 1830. Surprisingly, in 1867 a 16-year-old Italian, Nicolт Paganini, found a pair that evaded everybody, 1,184 and 1,210, which is the second by size, on the list of amicable numbers." |
