Prime divisors of some shifted products
We study prime divisors of various sequences of positive integers A(n)+1, n=1,…,N, such that the ratios a(n)=A(n)/A(n−1) have some number-theoretic or combinatorial meaning. In the case a(n)=n, we obviously have A(n)=n!, for which several new results about prime divisors of n!+1 have recently bee...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2005-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/IJMMS.2005.3057 |
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| _version_ | 1832554606511521792 |
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| author | Eric Levieil Florian Luca Igor E. Shparlinski |
| author_facet | Eric Levieil Florian Luca Igor E. Shparlinski |
| author_sort | Eric Levieil |
| collection | DOAJ |
| description | We study prime divisors of various sequences of positive integers A(n)+1, n=1,…,N, such that the ratios a(n)=A(n)/A(n−1) have some number-theoretic or combinatorial meaning. In the case a(n)=n, we obviously have A(n)=n!, for which several new results about prime divisors of n!+1 have recently been obtained. |
| format | Article |
| id | doaj-art-f8d62d9291c748cfbd868b3068c6f626 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2005-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-f8d62d9291c748cfbd868b3068c6f6262025-02-03T05:51:06ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252005-01-012005193057307310.1155/IJMMS.2005.3057Prime divisors of some shifted productsEric Levieil0Florian Luca1Igor E. Shparlinski2Département d'Informatique, École Normale Supérieure 45, rue d'Ulm, Paris Cedex 05 75230, FranceDépartement d'Informatique, École Normale Supérieure 45, rue d'Ulm, Paris Cedex 05 75230, FranceDépartement d'Informatique, École Normale Supérieure 45, rue d'Ulm, Paris Cedex 05 75230, FranceWe study prime divisors of various sequences of positive integers A(n)+1, n=1,…,N, such that the ratios a(n)=A(n)/A(n−1) have some number-theoretic or combinatorial meaning. In the case a(n)=n, we obviously have A(n)=n!, for which several new results about prime divisors of n!+1 have recently been obtained.http://dx.doi.org/10.1155/IJMMS.2005.3057 |
| spellingShingle | Eric Levieil Florian Luca Igor E. Shparlinski Prime divisors of some shifted products International Journal of Mathematics and Mathematical Sciences |
| title | Prime divisors of some shifted products |
| title_full | Prime divisors of some shifted products |
| title_fullStr | Prime divisors of some shifted products |
| title_full_unstemmed | Prime divisors of some shifted products |
| title_short | Prime divisors of some shifted products |
| title_sort | prime divisors of some shifted products |
| url | http://dx.doi.org/10.1155/IJMMS.2005.3057 |
| work_keys_str_mv | AT ericlevieil primedivisorsofsomeshiftedproducts AT florianluca primedivisorsofsomeshiftedproducts AT igoreshparlinski primedivisorsofsomeshiftedproducts |