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On the largest prime factor of x^2 - 1 (CROSBI ID 156299)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
Luca, Florian ; Najman, Filip
On the largest prime factor of x^2 - 1 // Mathematics of computation, 80 (2011), 1; 429-435. doi: 10.1090/S0025-5718-2010-02381-6
Podaci o odgovornosti
Luca, Florian ; Najman, Filip
engleski
On the largest prime factor of x^2 - 1
In this paper, we find all integers x such that x^2 - 1 has only prime factors smaller than 100. This gives some interesting numerical corollaries. For example, for any positive integer n we can find the largest positive integer x such that all prime factors of each of x, x + 1, ... , x + n are less than 100.
Pell equation ; Compact representation ; Lucas sequence
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Podaci o izdanju
80 (1)
2011.
429-435
objavljeno
0025-5718
1088-6842
10.1090/S0025-5718-2010-02381-6
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