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2. Powerful number - Wikipedia

   en.wikipedia.org/wiki/Powerful_number

   A powerful number is a positive integer m such that for every prime number p dividing m, p 2 also divides m.Equivalently, a powerful number is the product of a square and a cube, that is, a number m of the form m = a 2 b 3, where a and b are positive integers.

3. Strong law of small numbers - Wikipedia

   en.wikipedia.org/wiki/Strong_Law_of_Small_Numbers

   In mathematics, the "strong law of small numbers" is the humorous law that proclaims, in the words of Richard K. Guy (1988): [1] There aren't enough small numbers to meet the many demands made of them. In other words, any given small number appears in far more contexts than may seem reasonable, leading to many apparently surprising coincidences ...

4. Law of large numbers - Wikipedia

   en.wikipedia.org/wiki/Law_of_large_numbers

   They are called the strong law of large numbers and the weak law of large numbers. [ 16 ] [ 1 ] Stated for the case where X 1 , X 2 , ... is an infinite sequence of independent and identically distributed (i.i.d.) Lebesgue integrable random variables with expected value E( X 1 ) = E( X 2 ) = ... = μ , both versions of the law state that the ...

5. Safe and Sophie Germain primes - Wikipedia

   en.wikipedia.org/wiki/Safe_and_Sophie_Germain_primes

   A prime number q is a strong prime if q + 1 and q − 1 both have some large (around 500 digits) prime factors. For a safe prime q = 2p + 1, the number q − 1 naturally has a large prime factor, namely p, and so a safe prime q meets part of the criteria for being a strong prime.

6. Strong prime - Wikipedia

   en.wikipedia.org/wiki/Strong_prime

   Or to put it algebraically, writing the sequence of prime numbers as (p 1, p 2, p 3, ...) = (2, 3, 5, ...), p n is a strong prime if p n > ⁠ p n − 1 + p n + 1 / 2 ⁠. For example, 17 is the seventh prime: the sixth and eighth primes, 13 and 19, add up to 32, and half that is 16; 17 is greater than 16, so 17 is a strong prime. The first few ...

7. New Orleans attacker believed to have acted alone - FBI - AOL

   www.aol.com/scene-just-horrific-witnesses-tell...

   The suspect in the New Orleans attack that killed 14 people on New Year's Day is believed to have acted alone in a "premeditated and evil act," the FBI has said. The latest information is counter ...