- Agoh–Giuga conjecture
In
number theory the Agoh–Giuga conjecture on theBernoulli number s "B""k" postulates that "p" is aprime number if and only if :
The conjecture as stated is due to
Takashi Agoh (1990); an equivalent formulation is due toGiuseppe Giuga , from 1950, to the effect that "p" is prime iff:
References
*Agoh, T, "On Giuga’s conjecture" "Manuscripta Math.", 87(4), 501–510 (1995).
*Borwein, D.; Borwein, J. M., Borwein, P. B., and Girgensohn, R. "Giuga's Conjecture on Primality", "American Mathematical Monthly ", 103, 40–50, (1996). [http://www.math.uwo.ca/~dborwein/cv/giuga.pdf pdf]
*Giuga, G. "Su una presumibile proprietà caratteristica dei numeri primi", "Ist. Lombardo Sci. Lett. Rend. A", 83, 511–528 (1950).
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