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Results tagged with prime-numbers
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user 23789
Questions where prime numbers play a key-role, such as: questions on the distribution of prime numbers (twin primes, gaps between primes, Hardy–Littlewood conjectures, etc); questions on prime numbers with special properties (Wieferich prime, Wolstenholme prime, etc.). This tag is often used as a specialized tag in combination with the top-level tag nt.number-theory and (if applicable) analytic-number-theory.
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Estimate for products of integers that are relatively prime with $N$
Let $N$ be a positive integer. Are there known estimates for the product of all numbers that are smaller than $N$ and relatively prime with $N$? One can assume that $N$ is free of squares, if this hel …
- 51
2
votes
Estimate for products of integers that are relatively prime with $N$
To get the asymptotic, one can replace the factorial in the exact formula by the Stirling formula. Then the desired quantity can be estimated as follows:
$$
c\cdot A_N\le (\dots)\le C\cdot A_N
$$
with …
- 51