국가지식-학술정보
PRIMALITY BETWEEN CONSECUTIVE PRIMORIALS
PRIMALITY BETWEEN CONSECUTIVE PRIMORIALS
- 대한수학회
- Bulletin of the Korean Mathematical Society
- Vol.58 No.6
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2021.011377 - 1385 (9 pages)
- 0
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In this paper, we consider a general number system with a base m in order to determine if a positive integer x is prime. We show that the base m providing the most efficient test is the primorial p<sub>n</sub># when p<sub>n</sub># < x < p<sub>n+1</sub># and establish a necessary and sufficient condition for x in between consecutive primorials to be determined as a prime number.
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