陈进平, 唐善刚. 阶乘丢番图方程∑nk=1k!=qm+8a+5[J]. 内江师范学院学报, 2012, (2): 15-16.
    引用本文: 陈进平, 唐善刚. 阶乘丢番图方程∑nk=1k!=qm+8a+5[J]. 内江师范学院学报, 2012, (2): 15-16.
    CHEN Jin-ping, TANG Shan-gang. Factorial Diophantine Equation∑nk=1k!=qm+8a+5[J]. Journal of Neijiang Normal University, 2012, (2): 15-16.
    Citation: CHEN Jin-ping, TANG Shan-gang. Factorial Diophantine Equation∑nk=1k!=qm+8a+5[J]. Journal of Neijiang Normal University, 2012, (2): 15-16.

    阶乘丢番图方程∑nk=1k!=qm+8a+5

    Factorial Diophantine Equation∑nk=1k!=qm+8a+5

    • 摘要: 与阶乘有关的高次丢番图方程,一直是数论中引人关注的课题.利用整除及同余的有关性质得到了阶乘丢番图方程∑nk=1k!=qm+8a+5的所有整数解.

       

      Abstract: The high-ordered factorial Diophantine equation is an engrossing problem in number theory. By use of the relevant properties of divisibility and congruence relation all the integer solutions of the factorial Diophantine equations ∑nk=1k!=qm+8a+5 are worked out.

       

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