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Earn +20 ptsQ: What numbers are almost perfect numbers?
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Is 32 an almost perfect number?
Yes. The only known almost perfect numbers are the powers of 2. 32 = 2^5 is an almost perfect number. It has not yet been proved whether {x: x = 2^n for n in N} = {x: x is an almost perfect number}.
Is 100 an nearly perfect number?
No. The only known almost perfect numbers are the powers of 2, namely 1, 2, 4, 8, 16, 32, ...
What are all perfect numbers?
There are infinitely many perfect numbers so they cannot all be listed.
Are there more mersenne primes known as there are perfect numbers?
There is a one-to-one relationship between even perfect numbers and Mersenne primes. It is unknown whether there are any odd perfect numbers.
Is only 6 and 28 the perfect numbers from 1-100?
Yes. The next perfect numbers are 496 and 8128.
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