Fibonacci numbers that are not sums of two prime powers
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- by Florian Luca and Pantelimon Stănică PDF
- Proc. Amer. Math. Soc. 133 (2005), 1887-1890 Request permission
Abstract:
In this paper, we construct an infinite arithmetic progression $\mathcal A$ of positive integers $n$ such that if $n\in {\mathcal A}$, then the $n$th Fibonacci number is not a sum of two prime powers.References
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Additional Information
- Florian Luca
- Affiliation: IMATE, UNAM, Ap. Postal 61-3 (Xangari), CP. 58 089, Morelia, Michoacán, Mexico
- MR Author ID: 630217
- Email: fluca@matmor.unam.mx
- Pantelimon Stănică
- Affiliation: Department of Mathematics, Auburn University Montgomery, Montgomery, Alabama 36124-4023
- Email: pstanica@mail.aum.edu
- Received by editor(s): February 13, 2004
- Published electronically: February 15, 2005
- Communicated by: David E. Rohrlich
- © Copyright 2005
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 133 (2005), 1887-1890
- MSC (2000): Primary 11B39; Secondary 11B25, 11B50, 11P32
- DOI: https://doi.org/10.1090/S0002-9939-05-07827-5
- MathSciNet review: 2099413