LFA / Terminale S SPÉCIALITÉ MATHS Mme MAINGUY
!
!
L’arithmétique
!
!
chapitre 1 : divisibilité et congruences
!
!
!
!"#$%&'(#)%"*
"#!$%&&'(('!)*'!
!'+,!(-'#+'./('!0'+!'#,1'$+!$'(%,12+!',!
!'+,!(-'#+'./('!0'+!'#,1'$+!#%,*$'(+3!
4-'#+'./('!
!56$121'!0'*7!&$8&$16,6+!9%0.1+'+:!%*7)*'(('+!#8*+!2'$8#+!2$6)*'..'#,!%&&'(!0%#+!;'!;<%&1,$'!=!
• >8*,'!&%$,1'!#8#!510'!0'!
!%0.',!*#!&(*+!&',1,!6(6.'#,!?!
• >8*,'!&%$,1'!#8#!510'!',!.%@8$6'!0'!
!%0.',!*#!&(*+!A$%#0!6(6.'#,3!
B8*5'CD58*+!08##'$!*#!'7'.&('!0'!&%$,1'!#8#!510'!0'!
!E!B*1+!0-*#'!&%$,1'!#8#!510'!',!.%@8$6'!0'!
!E!
!
"#!&'*,!$'.%$)*'$!)*'!(%!0'*71F.'!&$8&$16,6!'+,!5$%1'!0%#+!
!;'!)*1!#-'+,!&%+!('!;%+!0'!(%!&$'.1F$'3!9G*'(('!
<H&8,<F+'!+*&&(6.'#,%1$'!2%*0$%1,D1(!%@8*,'$!&8*$!)*'!(%!&$'.1F$'!+81,!5$%1'!0%#+!
!E:!
!
!
!*+*,)-).)/)0)#1*&2".*
!0'*7!'#,1'$!$'(%,12+!',!
J!+-1(!'71+,'!*#!'#,1'$!$'(%,12!
3!K-%*,$'!&%$,!=!
(-6A%(1,6!*
3!
"#!'#!060*1,!(%!$';<'$;<'!0'+!0151+'*$+!0-*#!'#,1'$!$'(%,12!
J!$'51'#,!08#;!M!;<'$;<'$!('+!0151+'*$+!0'!
!!"#$%&'()&%*+,- ,.&- /")&+0,- 0,.- 12(3$,.- ,1&%,$.4- 5#1.- 6,&&,- 7#$&%,- 82+.- #//,9- 82+.- :2$(,$- ;- 0,.-
$#%.211,(,1&.- :%1.- ,&- #(3%&%,+<4- =2+.- 0)8,/277,$,9- 82&$,- ,.7$%&- 0"#1#/>.,?- 82&$,- 6#7#6%&)- ;- 7$,10$,- 0,.-
%1%&%#&%8,.4-@,.-()&'20,.-82+.-.,$21&-&$A.-+&%/,.-0#1.-82.-)&+0,.-72.&B3#64-
C1- #$%&'()&%*+,?- 12+.- &$#8#%//,$21.- .+$- /,.- 12&%21.- 0,- (+/&%7/,.?- 0,- 0%8%.,+$.?- 0,- DE@5?- 0,- 621F$+,16,.4-
C1-0,'2$.-0,-/")&+0,-7+$,(,1&-(#&')(#&%*+,-0,.-12(3$,.-,1&%,$.?- /"#$%&'()&%*+,-,.&-#+G2+$0"'+%-+&%/%.),-,1-
6$>7&2/2F%,-H.6%,16,-0+-620#F,-,&-0+-0)620#F,I-J-/,.-620,.B3#$$,.?-/,.-620,.-KLMN-/,.-OKM-.,-&,$(%1,1&-7#$-0,.-
6/).-#>#1&-72+$-3+&-0,-0)&,6&,$-6,$&#%1,.-,$$,+$.4-!#-0%8%.%21-,+6/%0%,11,-,&-/,.-621F$+,16,.-.21&-/,.-7$%16%7#+<-
2+&%/.-7,$(,&&-0,-:#3$%*+,$-6,.-6/).4-