Definition of Primorial. Meaning of Primorial. Synonyms of Primorial

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Definition of Primorial

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Meaning of Primorial from wikipedia

- free dictionary. In mathematics, and more particularly in number theory, primorial, denoted by "pn#", 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...
- 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...
- 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...
- system with successive prime numbers as radix, whose place values are primorial numbers, considered by S. S. Pillai, Richard K. Guy (sequence A049345...
- 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...
- zero 2309 – primorial prime, twin prime with 2311, Mertens function zero, highly cototient number 2310 – fifth primorial 2311 – primorial prime, twin...
- 510 = the product of the first seven prime numbers, thus the seventh primorial. It is also the product of four consecutive Fibonacci numbers—13, 21,...
- {(p_{r-1}\#)^{k}}{J_{k}(p_{r}\#)}}\qquad k=2,3,\ldots .} Here pn# is the primorial sequence and Jk is Jordan's totient function. The function ζ can be represented...
- before 30,001. 30029 = primorial prime 30030 = primorial 30031 = smallest composite number which is one more than a primorial 30203 = safe prime 30240...