Note on the congruence 𝑎^{𝑝-1}=1 (𝑚𝑜𝑑 𝑝²)
1964; American Mathematical Society; Volume: 18; Issue: 85 Linguagem: Inglês
10.1090/s0025-5718-1964-0157928-6
ISSN1088-6842
Autores Tópico(s)Advanced Algebra and Geometry
ResumoTHE CONGRUENCE d"-1 = 1 (mod p2) 149 John Brillhart.At the time of completion of these results we learned of similar workf by Donald B. Gillies on Illiac II.We compared our residues with his and found ten discrepancies.A check revealed that one of our three supposedly identical program decks contained an error.The questionable residues were recalculated and found to agree with Dr. Gillies' values.These residues are marked by an asterisk ( *).The authors have verified that Riesel's M3217 and Hurwitz's il742S3 and M4423 are prime.Hurwitz's octal remainder [1] of 72013 for the prime exponent 3301 was also verified.The running time for p near 6500 was three hours, using an IBM 7090.
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