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Some sources only list the smallest prime in each cycle, ... All prime numbers from 31 to 6,469,693,189 for free download. Lists of Primes at the Prime Pages.
A prime number is a natural number that has exactly two distinct natural number divisors: the number 1 and itself. To find all the prime numbers less than or equal to a given integer n by Eratosthenes' method: Create a list of consecutive integers from 2 through n: (2, 3, 4, ..., n). Initially, let p equal 2, the smallest prime number.
43 is the smallest number with the property 43 = 4*prime(4) + 3*prime(3). Where prime(n) is the n-th prime number. There are only two numbers with that property, the other one is 127. 43 is a Gaussian prime. When taking the first six terms of the Taylor series for computing e, one obtains
53 is the smallest prime number that does not divide the order of any sporadic group, inclusive of the six pariahs; it is also the first prime number that is not a member of Bhargava's prime-universality criterion theorem (followed by the next prime number 59), an integer-matrix quadratic form that represents all prime numbers when it ...
is a prime number for all positive natural numbers n. This constant is named after William Harold Mills who proved in 1947 the existence of A based on results of Guido Hoheisel and Albert Ingham on the prime gaps. [1] Its value is unproven, but if the Riemann hypothesis is true, it is approximately 1.3063778838630806904686144926...
281 is a twin prime with 283, [1] Sophie Germain prime, [2] sum of the first fourteen primes, sum of seven consecutive primes (29 + 31 + 37 + 41 + 43 + 47 + 53), Chen prime, Eisenstein prime with no imaginary part, and a centered decagonal number. 281 is the smallest prime p such that the decimal period length of the reciprocal of p is (p−1 ...
73 has 37 as the mirroring of its decimal digits. 73 is the 21st prime number, and 37 the 12th. The "mirror property" is fulfilled when 73 has a mirrored permutation of its digits (37) that remains prime. Similarly, their respective prime indices (21 and 12) in the list of prime numbers are also permutations of the same digits (1, and 2).
The 22nd prime number (between 73 and 83) An isolated prime without a twin prime, as 77 and 81 are composite. [1] The smallest prime number p for which the real quadratic field Q[√ p] has class number greater than 1 (namely 3). [2] A cousin prime with 83. An emirp in base 10, because the reverse of 79, 97, is also a prime. [3] A Fortunate ...