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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]
1804 = number k such that k^64 + 1 is prime; 1805 = number of squares between 43 2 and 43 4. [152] 1806 = pronic number, [90] product of first four terms of Sylvester's sequence, primary pseudoperfect number, [461] only number for which n equals the denominator of the nth Bernoulli number, [462] Schröder number [463] 1807 = fifth term of ...
A list of articles about numbers (not about numerals). Topics include powers of ten, notable integers, prime and cardinal numbers, and the myriad system.
A cluster prime is a prime p such that every even natural number k ≤ p − 3 is the difference of two primes not exceeding p. 3, 5, 7, ... for 1 ≤ k ≤ p−2 ...
A factorial x! is the product of all numbers from 1 to x. The first: 1, 2, 6, 24, 120, 720, 5040, 40320, 362880, 3628800, 39916800, 479001600 (sequence A000142 in the OEIS). 0! = 1 is sometimes included. A k-smooth number (for a natural number k) has its prime factors ≤ k (so it is also j-smooth for any j > k).
So too are the thousands, with the number of thousands followed by the word "thousand". The number one thousand may be written 1 000 or 1000 or 1,000; larger numbers are written for example 10 000 or 10,000 for ease of reading. European languages that use the comma as a decimal separator may correspondingly use the period as a thousands separator.
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The numbers b k and b −k are the weights of the corresponding digits. The position k is the logarithm of the corresponding weight w, that is = = . The highest used position is close to the order of magnitude of the number.