free dictionary. In mathematics, and more particularly in number theory, primorial, denoted by "#", is a function from natural numbers to natural numbers...

In mathematics, a primorial prime is a prime number of the form pn# ± 1, where pn# is the primorial of pn (i.e. the product of the first n primes). Primality...

numbers are integers of the form En = pn # + 1, where pn # is the nth primorial, i.e. the product of the first n prime numbers. They are named after the...

before 30,001. 30029 = primorial prime 30030 = primorial 30031 = smallest composite number which is one more than a primorial 30203 = safe prime 30240...

occurs thrice, since adding 61 to either the tenth, twelfth or seventeenth primorial gives a prime number (namely 6,469,693,291; 7,420,738,134,871; and 1,922...

5, and 7), and thus a primorial, where it is the least common multiple of these four prime numbers. 210 is the first primorial number greater than 2 which...

adding some subsets of its divisors (e.g., 5, 10 and 15) equals 30. A primorial. A Harshad number in decimal. Divisible by the number of prime numbers...

primorial must be at least 1·2·3·5·7·11·13, and 7×11×13 = 1001. Fuller also refers to powers of 1001 as Scheherazade numbers. The smallest primorial containing...

of the form 2(5 − 1)(25 − 1) by the Euclid-Euler theorem. 31 is also a primorial prime like its twin prime (29), as well as both a lucky prime and a happy...

method first selects a primorial and then constructs an interval in which the distribution of integers coprime to the primorial is well understood. By...