ผลต่างระหว่างรุ่นของ "01204211/homework6 number theory 1"

รุ่นแก้ไขเมื่อ 02:18, 4 ตุลาคม 2558

This is part of 01204211-58

Due: TBA

H.1 (LPV-6.1.3) Prove that if $a|b$ and $a|c$ , then $a|b+c$ and $a|b-c$ .

H.2 (LPV-6.1.6) (a) Prove that for every integer $a$ , $a-1|a^{2}-1$ .

(b) More generally, prove that for every integer $a$ and positive integer $n$ , $a-1|a^{n}-1$ .

H.3

H.4

H.5

H.6

H.7

H.8

@@ แถว 3: / แถว 3: @@
 '''Due:''' TBA
-'''H.1'''
+'''H.1''' (LPV-6.1.3) Prove that if <math>a|b</math> and <math>a|c</math>, then <math>a|b+c</math> and <math>a|b-c</math>.
-'''H.2'''
+'''H.2''' (LPV-6.1.6) (a) Prove that for every integer <math>a</math>, <math>a-1|a^2-1</math>.
+(b) More generally, prove that for every integer <math>a</math> and positive integer <math>n</math>, <math>a-1|a^n-1</math>.