Prime divisors of -binomial coefficients
F. T. Howard (1972)
Rendiconti del Seminario Matematico della Università di Padova
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F. T. Howard (1972)
Rendiconti del Seminario Matematico della Università di Padova
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P. Erdös, C. Lacampagne, J. Selfridge (1988)
Acta Arithmetica
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Kilford, L.J.P. (2004)
International Journal of Mathematics and Mathematical Sciences
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Guerin, E.E., Buschman, R.G. (1976)
Portugaliae mathematica
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Hiroyuki Okazaki, Yasunari Shidama (2008)
Formalized Mathematics
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In the [20], it had been proven that the Integers modulo p, in this article we shall refer as Z/pZ, constitutes a field if and only if Z/pZ is a prime. Then the prime modulo Z/pZ is an additive cyclic group and Z/pZ* = Z/pZ{0is a multiplicative cyclic group, too. The former has been proven in the [23]. However, the latter had not been proven yet. In this article, first, we prove a theorem concerning the LCM to prove the existence of primitive elements of Z/pZ*. Moreover we prove the...
Luca, Florian (2001)
Divulgaciones Matemáticas
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Brad Wilson (1998)
Acta Arithmetica
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