河南师范大学学报（自然科学版）
河南師範大學學報（自然科學版）
하남사범대학학보（자연과학판）
JOURNAL OF HENAN NORMAL UNIVERSITY(NATURAL SCIENCE)
2009年
6期
28-30
,共3页
连续正整数%素数模%同余方程%最小非负剩余%Fermat定理
連續正整數%素數模%同餘方程%最小非負剩餘%Fermat定理
련속정정수%소수모%동여방정%최소비부잉여%Fermat정리
continuous positive integers prime module%congruence equation%least non-negative residue%Fermat's theo-tem
利用连续正整数偶次幂之和关于素数模同余式的降幂性、对称性、归零性和缩减性,分别就与两种情形的若干特殊同余方程,给出了方程的全部整数解.
利用連續正整數偶次冪之和關于素數模同餘式的降冪性、對稱性、歸零性和縮減性,分彆就與兩種情形的若榦特殊同餘方程,給齣瞭方程的全部整數解.
이용련속정정수우차멱지화관우소수모동여식적강멱성、대칭성、귀령성화축감성,분별취여량충정형적약간특수동여방정,급출료방정적전부정수해.
It is a difficult number theory problem about the congruence expression for the sum of even exponent of the continuous positive integers.In this article some properties of the congruence equation are proved and a lot of integral solutions of the peculiar congruence equation are also obtained using the properties of degression about the exponent,reducibility about the number,symmetry and submit to zero about the form.
