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http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/7192| Title: | The Least Prime Congruent to One Modulo n |
| Authors: | Thangadurai, R. VATWANI, A. Dept. of Mathematics |
| Keywords: | Mathemaitcis 2011 |
| Issue Date: | Jan-2011 |
| Publisher: | Taylor & Francis |
| Citation: | American Mathematical Monthly, 118(8). |
| Abstract: | It is known that there are infinitely many primes congruent to 1 (mod n) for any integer n > 1. In this paper, we use an elementary argument to prove that the least such prime is at most 2ϕ(n) + 1 −1, where ϕ is the Euler totient function. |
| URI: | https://doi.org/10.4169/amer.math.monthly.118.08.737 http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/7192 |
| ISSN: | 0002-9890 |
| Appears in Collections: | JOURNAL ARTICLES |
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