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2. Multiply perfect number - Wikipedia

   en.wikipedia.org/wiki/Multiply_perfect_number

   It can be proven that: . For a given prime number p, if n is p-perfect and p does not divide n, then pn is (p + 1)-perfect.This implies that an integer n is a 3-perfect number divisible by 2 but not by 4, if and only if n/2 is an odd perfect number, of which none are known.

3. List of Mersenne primes and perfect numbers - Wikipedia

   en.wikipedia.org/wiki/List_of_Mersenne_primes...

   So, 6 is a perfect number because the proper divisors of 6 are 1, 2, and 3, and 1 + 2 + 3 = 6. [2] [4] There is a one-to-one correspondence between the Mersenne primes and the even perfect numbers, but it is unknown whether there exist odd perfect numbers. This is due to the Euclid–Euler theorem, partially proved by Euclid and completed by ...

4. Perfect number - Wikipedia

   en.wikipedia.org/wiki/Perfect_number

   In number theory, a perfect number is a positive integer that is equal to the sum of its positive proper divisors, that is, divisors excluding the number itself. For instance, 6 has proper divisors 1, 2 and 3, and 1 + 2 + 3 = 6, so 6 is a perfect number. The next perfect number is 28, since 1 + 2 + 4 + 7 + 14 = 28.

5. Puzzle solutions for Wednesday, Dec. 4, 2024

   www.aol.com/news/puzzle-solutions-wednesday-dec...

   Find answers to the latest online sudoku and crossword puzzles that were published in USA TODAY Network's local newspapers.

6. Friendly number - Wikipedia

   en.wikipedia.org/wiki/Friendly_number

   The smallest friendly number is 6, forming for example, the friendly pair 6 and 28 with abundancy σ(6) / 6 = (1+2+3+6) / 6 = 2, the same as σ(28) / 28 = (1+2+4+7+14+28) / 28 = 2. The shared value 2 is an integer in this case but not in many other cases. Numbers with abundancy 2 are also known as perfect numbers. There are several unsolved ...

7. When should you stop eating Thanksgiving leftovers? Here's ...

   www.aol.com/stop-eating-thanksgiving-leftovers...

   December 2, 2024 at 2:07 PM. Family and friends are back at home and work following the holiday weekend, but fridges may still be packed full of Thanksgiving leftovers.