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A mathematical constant is a key number whose value is fixed by an unambiguous definition, often referred to by a symbol (e.g., an alphabet letter), or by mathematicians' names to facilitate using it across multiple mathematical problems. [1]
Name First elements Short description OEIS Kolakoski sequence: 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, ... The n th term describes the length of the n th run : A000002: Euler's ...
This corresponds to a well-stacked woodpile, 4 feet deep by 4 feet high by 8 feet wide (122 cm × 122 cm × 244 cm), or any other arrangement of linear measurements that yields the same volume. A more unusual measurement for firewood is the "rick" or face cord.
In number theory, a weird number is a natural number that is abundant but not semiperfect. [1] [2] In other words, the sum of the proper divisors (divisors including 1 but not itself) of the number is greater than the number, but no subset of those divisors sums to the number itself.
Demonstration, with Cuisenaire rods, that the number 10 is an unusual number, its largest prime factor being 5, which is greater than √10 ≈ 3.16 In number theory , an unusual number is a natural number n whose largest prime factor is strictly greater than n {\displaystyle {\sqrt {n}}} .
In the Zork series of games, the Great Underground Empire has its own system of measurements, the most frequently referenced of which is the bloit. Defined as the distance the king's favorite pet can run in one hour (spoofing a popular legend about the history of the foot), the length of the bloit varies dramatically, but the one canonical conversion to real-world units puts it at ...
It is the first unique prime, such that the period length value of 1 of the decimal expansion of its reciprocal, 0.333..., is unique. 3 is a twin prime with 5, and a cousin prime with 7, and the only known number such that ! − 1 and ! + 1 are prime, as well as the only prime number such that − 1 yields another prime number, 2.
As Fermat did for the case n = 4, Euler used the technique of infinite descent. [50] The proof assumes a solution (x, y, z) to the equation x 3 + y 3 + z 3 = 0, where the three non-zero integers x, y, and z are pairwise coprime and not all positive. One of the three must be even, whereas the other two are odd.