【作者单位】;[ 1 ] Tibet Univ Nationalities, Sch Educ, Xianyang, Shaanxi, Peoples R China
【年份】2013
【卷号】Vol.31 No.2
【页码】196-203
【ISSN】0723-0869
【关键词】Higher diophantine equation Lucas number Arithmetical property
【摘要】 Let n, p and q be odd primes. In this paper, using some arithmetical properties of Lucas numbers, we prove that if n > 3 and p 3(mod 4), then the equation x(4) - q(4) = py(n) has no positive integer solution (x, y) satisfying gcd (x, y) = 1 and 2 t y...
