中南民族大学学报：自然科学版
中南民族大學學報：自然科學版
중남민족대학학보：자연과학판
Journal of South-Central University for Nationalities
2011年
3期
103-104,110
,共3页
余启港%王顺金%于新月%张梅娜
餘啟港%王順金%于新月%張梅娜
여계항%왕순금%우신월%장매나
不定方程%整数解%递归数列
不定方程%整數解%遞歸數列
불정방정%정수해%체귀수렬
diophantine equation%integer solution%recurrent sequence
利用递归数列与Pell方程解的相关性质和结论,证明了不定方程x3-8=3py2（其中p=5,13,29,37,53,61）当x为奇数时无整数解.
利用遞歸數列與Pell方程解的相關性質和結論,證明瞭不定方程x3-8=3py2（其中p=5,13,29,37,53,61）噹x為奇數時無整數解.
이용체귀수렬여Pell방정해적상관성질화결론,증명료불정방정x3-8=3py2（기중p=5,13,29,37,53,61）당x위기수시무정수해.
In this paper,we prove that the diophantine equation x3-8=3py2（for p=5,13,29,37,53,61）has not integer solution when x is an odd number,with the help of the congruence method and the properties of recurrent sequences and Pell equation.
