Geodesic
On a Question of Buium
Canadian mathematical bulletin, Tome 43 (2000) no. 2, pp. 236-238

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DOI

We prove that ${{\left\{ \left( {{n}^{p}}-n \right)/P \right\}}_{p}}\in {{\Pi }_{p}}{{\text{F}}_{p}}$ , with $p$ ranging over all primes, is independent of 1 over the integers, assuming a conjecture in elementary number theory generalizing the infinitude of Mersenne primes. This answers a question of Buium. We also prove a generalization.
DOI : 10.4153/CMB-2000-031-6
Mots-clés : 11A07 
Voloch, José Felipe. On a Question of Buium. Canadian mathematical bulletin, Tome 43 (2000) no. 2, pp. 236-238. doi: 10.4153/CMB-2000-031-6
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     title = {On a {Question} of {Buium}},
     journal = {Canadian mathematical bulletin},
     pages = {236--238},
     year = {2000},
     volume = {43},
     number = {2},
     doi = {10.4153/CMB-2000-031-6},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2000-031-6/}
}
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