Difference between revisions of "Quasi-prime number"
From Encyclopedia of Mathematics
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<TR><TD valign="top">[a1]</TD> <TD valign="top"> Diamond, Harold G.; Halberstam, H.; Galway, William F. "A higher-dimensional sieve method. With procedures for computing sieve functions" | <TR><TD valign="top">[a1]</TD> <TD valign="top"> Diamond, Harold G.; Halberstam, H.; Galway, William F. "A higher-dimensional sieve method. With procedures for computing sieve functions" | ||
| − | Cambridge Tracts in Mathematics 177. Cambridge University Press (2008). ISBN 978-0-521-89487-6 | + | Cambridge Tracts in Mathematics 177. Cambridge University Press (2008). {{ISBN|978-0-521-89487-6}} {{ZBL|1207.11099}}</TD></TR> |
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Latest revision as of 18:31, 5 May 2023
A positive integer without small prime factors. This means that all prime factors of $n$ must be greater than $\mathcal P(n)$, where $\mathcal P(n)$ is a function that increases more slowly than $n$. For example,
$$\mathcal P(n)=n^{1/(\ln\ln n)^2}.$$
Quasi-prime numbers are well distributed in arithmetic progressions with large modulus.
Comments
See also Prime number; Distribution of prime numbers.
References
| [a1] | Diamond, Harold G.; Halberstam, H.; Galway, William F. "A higher-dimensional sieve method. With procedures for computing sieve functions" Cambridge Tracts in Mathematics 177. Cambridge University Press (2008). ISBN 978-0-521-89487-6 Zbl 1207.11099 |
How to Cite This Entry:
Quasi-prime number. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Quasi-prime_number&oldid=34441
Quasi-prime number. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Quasi-prime_number&oldid=34441
This article was adapted from an original article by B.M. Bredikhin (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article