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  2. List of Mersenne primes and perfect numbers - Wikipedia

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

    The following is a list of all currently known Mersenne primes and perfect numbers, along with their corresponding exponents p. As of 2024, there are 52 known Mersenne primes (and therefore perfect numbers), the largest 18 of which have been discovered by the distributed computing project Great Internet Mersenne Prime Search, or GIMPS. [2]

  3. Perfect fourth - Wikipedia

    en.wikipedia.org/wiki/Perfect_fourth

    The perfect fourth is a perfect interval like the unison, octave, and perfect fifth, and it is a sensory consonance. In common practice harmony, however, it is considered a stylistic dissonance in certain contexts, namely in two-voice textures and whenever it occurs "above the bass in chords with three or more notes". [ 2 ]

  4. List of pitch intervals - Wikipedia

    en.wikipedia.org/wiki/List_of_pitch_intervals

    For instance, the limit of the just perfect fourth (4:3) is 3, but the just minor tone (10:9) has a limit of 5, because 10 can be factored into 2 × 5 (and 9 into 3 × 3). There exists another type of limit, the odd limit , a concept used by Harry Partch (bigger of odd numbers obtained after dividing numerator and denominator by highest ...

  5. Pythagorean interval - Wikipedia

    en.wikipedia.org/wiki/Pythagorean_interval

    Pythagorean perfect fifth on C Play ⓘ: C-G (3/2 ÷ 1/1 = 3/2).. In musical tuning theory, a Pythagorean interval is a musical interval with a frequency ratio equal to a power of two divided by a power of three, or vice versa. [1]

  6. Perfect number - Wikipedia

    en.wikipedia.org/wiki/Perfect_number

    The first four perfect numbers were the only ones known to early Greek mathematics, and the mathematician Nicomachus noted 8128 as early as around AD 100. [3] In modern language, Nicomachus states without proof that every perfect number is of the form 2 n − 1 ( 2 n − 1 ) {\displaystyle 2^{n-1}(2^{n}-1)} where 2 n − 1 {\displaystyle 2^{n ...

  7. 256 (number) - Wikipedia

    en.wikipedia.org/wiki/256_(number)

    256 is a perfect square (16 2). 256 is the only 3-digit number that is zenzizenzizenzic. It is 2 to the 8th power or (()). 256 is the lowest number that is a product of eight prime factors. 256 is the number of parts in all compositions of 7. [2]

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