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  2. List of Mersenne primes and perfect numbers - Wikipedia

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

    Perfect numbers are natural numbers that equal the sum of their positive proper divisors, which are divisors excluding the number itself. So, 6 is a perfect number because the proper divisors of 6 are 1, 2 , and 3 , and 1 + 2 + 3 = 6 .

  3. 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. [1] 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.

  4. Euclid–Euler theorem - Wikipedia

    en.wikipedia.org/wiki/Euclid–Euler_theorem

    A perfect number is a natural number that equals the sum of its proper divisors, the numbers that are less than it and divide it evenly (with remainder zero). For instance, the proper divisors of 6 are 1, 2, and 3, which sum to 6, so 6 is perfect. A Mersenne prime is a prime number of the form M p = 2 p − 1, one less than a power of two.

  5. Polite number - Wikipedia

    en.wikipedia.org/wiki/Polite_number

    the even perfect numbers 2 n − 1 (2 n − 1) formed by the product of a Mersenne prime 2 n − 1 with half the nearest power of two, and; the products 2 n − 1 (2 n + 1) of a Fermat prime 2 n + 1 with half the nearest power of two. (sequence A068195 in the OEIS).

  6. Table of prime factors - Wikipedia

    en.wikipedia.org/wiki/Table_of_prime_factors

    A perfect power has a common divisor m > 1 for all multiplicities (it is of the form a m for some a > 1 and m > 1). The first: 4, 8, 9, 16, 25, 27, 32, 36, 49, 64, 81, 100 (sequence A001597 in the OEIS ). 1 is sometimes included.

  7. Natalie ‘Samantha’ Rupnow, 15, seen in first photos after she ...

    www.aol.com/natalie-samantha-rupnow-seen-first...

    Natalie ‘Samantha’ Rupnow, 15, seen in first photos after she killed 2 in Wisconsin Christian school shooting. Ronny Reyes. December 17, 2024 at 12:10 PM.

  8. The 15 sexiest jobs, according to Tinder - AOL

    www.aol.com/finance/2016-02-25-the-15-sexiest...

    When it comes to finding a potential mate, your job may matter more than your looks. On Wednesday, Tinder released a list of the top 15 most-right-swiped jobs for men and women from November 2015 ...

  9. This profession hides some of the most prolific sex offenders ...

    www.aol.com/news/2016-07-07-this-profession...

    But one profession has escaped broad scrutiny." RELATED: Patients have been sexually abused by doctors in every state, investigation finds While the assaults are alarmingly high in number, the ...