Что такое «совершенные числа» #vertdider #veritasium

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·Nov 3, 2024

Возьмём, например, число 6. Оно делится на 1, 2, 3 и 6. 6, пока, отбросим, потому что это и есть само число, и у нас останутся так называемые собственные делители. Если их сложить, получится 6. То есть, наше число такие числа известны как совершенные.

Теперь давайте попробуем взять 10. Его собственные делители - это 1, 2 и 5. В сумме они дают всего 8, а значит, 10 - несовершенное число. Если мы проверим все остальные числа, то увидим, что в большинстве случаев сумма делителей получается либо больше, либо меньше.

Среди чисел от одного до 100 только 6 и 28 совершенные. Если дойти до 10.000, найдутся ещё два совершенных числа: 496 и 8.128. Древним грекам были известны только эти совершенные числа, и новых никто не обнаруживал ещё тысячу лет.

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Что такое «совершенные числа» #vertdider #veritasium

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