摘要
证明了同余式2n≡5(modn)(n>1)在[2,4294967295]中除平凡解n=3外,仅有解n=19147=41.467,以及若m>1满足2m≡5(modm),则n=2m-1是2n-4≡1(modn)的解.
The author proves the congruence 2^n ≡5 (mod n ) ( n 〉 1) except the trivial solution n = 3, only one solution n = 19147 = 41·467 in the interval [ 2,4294967295 ]. And when m 〉 1 satisfy the congruence 2^m ≡5 (mod m) then n =2^m - 1 is a solution of the congruence 2^n-4≡1(mod n).
出处
《四川大学学报(自然科学版)》
CAS
CSCD
北大核心
2007年第5期939-940,共2页
Journal of Sichuan University(Natural Science Edition)
关键词
同余式
合数
素数
congruence, composite, prime