On the Diophantine Equation (16 n)x+ (63 n)y= (65 n)z

GOU Sha-sha , ZHANG Hong

doi:10.13718/j.cnki.xsxb.2015.04.002

Journal of Southwest China Normal University(Natural Science Edition)

Search Advanced

Message Board

Dear readers, authors and reviewers,you can add a message on this page. We will reply to you as soon as possible!

Name
	Name cannot be empty!
E-mail
	Mailbox cannot be empty! Mailbox cannot be empty!
Telephone
	Mobile number cannot be empty! Please enter a valid mobile number!
Title

Content
Verification Code

PDF
Cite
Share

facebook

twitter

google

linkedin

2015 Volume 40 Issue 4

Article Contents

Previous Article Next Article

GOU Sha-sha , ZHANG Hong. On the Diophantine Equation (16 n)x+ (63 n)y= (65 n)z[J]. Journal of Southwest China Normal University(Natural Science Edition), 2015, 40(4). doi: 10.13718/j.cnki.xsxb.2015.04.002

Citation:

GOU Sha-sha , ZHANG Hong. On the Diophantine Equation (16 n)x+ (63 n)y= (65 n)z[J]. Journal of Southwest China Normal University(Natural Science Edition), 2015, 40(4). doi: 10.13718/j.cnki.xsxb.2015.04.002

On the Diophantine Equation (16 n)x+ (63 n)y= (65 n)z

GOU Sha-sha , ZHANG Hong

More Information

Abstract

Let n be a positive integer .In this paper ,in the elementary methods ,the author show s that the Diophantine equation (16n)x+ (63n)y= (65n)z has no solution in positive integers other than (x ,y ,z)=(2 ,2 ,2) .The result is still the confirmation of Jesmanowicz's conjecture .
- Jesmanowicz's conjecture，Diophantine equation，elementary methods,
References
Access History

通讯作者: 陈斌, bchen63@163.com

1.
沈阳化工大学材料科学与工程学院沈阳 110142

Export Citation

PDF

XML

Article Metrics

Article views(1410) PDF downloads(0) Cited by(0)

Access History