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Fibonacci numbers that are not sums of two prime powers |
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| Authors: | Florian Luca Pantelimon Stanica |
| Affiliation: | IMATE, UNAM, Ap. Postal 61-3 (Xangari), CP. 58 089, Morelia, Michoacán, Mexico ; Department of Mathematics, Auburn University Montgomery, Montgomery, Alabama 36124-4023 |
| Abstract: | In this paper, we construct an infinite arithmetic progression  of positive integers  such that if  , then the  th Fibonacci number is not a sum of two prime powers. |
| Keywords: | Fibonacci numbers arithmetic progressions covering system of congruences. |
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