od&" WMFC) DwDlv" Rs EMFD0 k.`   v" Rp@Times New RomanM M Mh M W`2M M PMMU`2M M 01 MM /01G* Times ew RomanM M:'1P MP M8y%1x Mdv% % %   TTo||wKA]KAoLv" P1TT}|wKA]KA}Lv" P  !v" "  TTwKA]KALv" P !v" " Rp@Times New RomanM M Mh M W`2M M PMMU`2M M 01 MM /01G* Times ew Roman M:'1P MP M8y%1x M dv% % %   TTvwKA]KAvLv" P  Rp @Times New RomanMh M W`2M M PMMU`2M M 01 MM /01G* Times ew oman M:'1P MP M8y%1x M dvdv% Rp@Times New Roman /01 M| M!|h=||8 M @w!{" U   P M." M| M MwYwdv% ( Rp @Times New Roman| M!|h=||8 M @w {" M| M!|h|8 M @ M M|@|=|Ꙁ||/ 70 @w P ` MM|||w0!wYwdv% ( Rp@Times New Roman| M!|h|8 M @ M M| M!|h|8 M @ M M|@|=|Ꙁ|| ! @w P ` MM|||w!!wYwdv% ( Rp @Times New Roman| M!|h|8 M @ M M| M!|h|8 M @ M M|@|=|Ꙁ||/ 80 @w P ` MM|||w0!wYwdv% ( Rp@Times New Roman| M!|h|8 M @ M M| M!|h|8 M @ M M|@|=|Ꙁ|| ! @w P ` MM|||w!!wYwdv% ( Rp @Times New Roman| M!|h|8 M @ M M| M!|h|8 M @ M M|@|=|Ꙁ||/ 90 @w P ` MM|||w0!wYwdv% ( Rp@Times New Roman| M!|h|8 M @ M M| M!|h|8 M @ M M|@|=|Ꙁ|| ! @w P ` MM|||w!!wYwdv% ( Rp @Times New Roman| M!|h|8 M @ M M| M!|h|8 M @ M M|@|=|Ꙁ||/ :0 @w P ` MM|||w0!wYwdv% ( % (  Rp@Times New RomanMM DMM W`2DM<M M(MU`2DM<M 01<MDM !/01G* Times ew RomanpM:'1MM8y%1M!dv% % % % % %  TwKA]KA  Lv" h@C385 AB0BL8'% Ld  !??% ( TTwKA]KA Lv" P    TTv9]wKA]KAvVLv" P TT9]wKA]KAVLv" P   % % % !v" F(GDIC!b K$$=='% % V0__% % $$AA" FGDIC'%  '% Ld!??%   % Ld!??%  (  '% Ld!??%  (  '% Ld!??%  (  '% Ld!??%  (  '% Ld!??%  (  '% Ld!??%  (  '% Ld!??%  (  '% Ld!??%  (  &" WMFC DWD'% Ld!??%  (  '% Ld!??%   % Ld!??%  ( % " % % % TT wKA]KALv" P Rp@Times New RomanM M Mh M W`2M M PMMU`2M M 01 MM "/01G* Times ew Roman M:'1P MP M8y%1x M"dv% % %   TTwKA]KALv" P  Rp@Times New RomanM M Mh M W`2M M PMMU`2M M 01 MM #/01G* Times ew Roman M:'1P MP M8y%1x M#dv% % % Rp @Times New RomanMh M W`2M M PMMU`2M M 01 MM #/01G* Times ew oman M:'1P MP M8y%1x M#dvdv% Rp @Times New Roman#VQ  M| M!|h=||8 M @w!Q  5   P M." M| M MwYwdv% ( Rp @Times New Roman|V M!|h=||8 M @w  M| M!|h|8 M @ M M|@|=|Ꙁ||0 { @w P ` MM|||w!wYwdv% ( Rp @Times New Roman| M!|h|8 M @ M M| M!|h|8 M @ M M|@|=|Ꙁ||0 ؟ @w P ` MM|||w؟ !wYwdv% ( Rp @Times New Roman| M!|h|8 M @ M M| M!|h|8 M @ M M|@|=|Ꙁ||0 | @w P ` MM|||w!wYwdv% ( Rp @Times New Roman| M!|h|8 M @ M M| M!|h|8 M @ M M|@|=|Ꙁ||0 ؟ @w P ` MM|||w؟ !wYwdv% ( Rp @Times New Roman| M!|h|8 M @ M M| M!|h|8 M @ M M|@|=|Ꙁ||0 } @w P ` MM|||w!wYwdv% ( Rp @Times New Roman| M!|h|8 M @ M M| M!|h|8 M @ M M|@|=|Ꙁ||0 ؟ @w P ` MM|||w؟ !wYwdv% ( Rp @Times New Roman| M!|h|8 M @ M M| M!|h|8 M @ M M|@|=|Ꙁ||0 ~ @w P ` MM|||w!wYwdv% ( % (    '% Ld:!??% (     T5wKA]KAGLv" 540:F8O A09B0 =5 @0745;O5B <=5=8O 02B>@0 > B><, GB> ?@82545==K5 745AL     !v" '%   % (   " Rp @Times New RomanMh M W`2M M PMMU`2M M 01 MM #/01G* Times ew oman M:'1P MP M8y%1x M#dvdv% Rp @Times New Roman#/01 M| M!|h=||8 M @w!Q  5   P M." M| M MwYwdv% ( Rp @Times New Roman| M!|h=||8 M @w S| M M| M!|h|8 M @ M M|@|=|Ꙁ||0  @w P ` MM|||w!wYwdv% ( Rp @Times New Roman| M!|h|8 M @ M M| M!|h|8 M @ M M|@|=|Ꙁ||0 ؟ @w P ` MM|||w؟ !wYwdv% ( Rp @Times New Roman| M!|h|8 M @ M M| M!|h|8 M @ M M|@|=|Ꙁ||0  @w P ` MM|||w!wYwdv% ( % (    '% Ld=9!??&" WMFC D7D% (     T|r*wKA]KA#Lv" \4>:070B5 Tr*wKA]KAs#FLv" ;LAB20 25@=K. "5< =5 <5=55, ?@54;0305< G8B0B5;O< @07>1@0BLAO 2> 2A5<           '% Ld>w>:!??% (     Tp>ccwKA]KA\Lv" XA0<8<& TTd>tcwKA]KAd\Lv" P     '% Ldxx9!??% (     TTxwKA]KALv" P  !v" '%   % (   " Rp@Times New RomanM M Mh M W`2M M PMMU`2M M 01 MM $/01G* Times ew Roman M:'1P MP M8y%1x M$dv% % %    ' % LdW!??% (     Ob(TTwKA]KALv" P  !v" ' %   % (   " Rp  @Times New Roman`$1З|HLX01dGLX01 01LM |/012$dG@LTimes ew RomanL:'1(L(L8y%1PL|dv% % % % % Rp  @Times New RomanMh M W`2M M PMMU`2M M 01 MM $/01G* Times ew oman M:'1P MP M8y%1x M$dvdv% Rp @Times New Roman$/01 M| M!|h=||8 M @w!-    P M." M| M MwYwdv% ( Rp  @Times New Roman|V M!|h=||8 M @w X M| M!|h|8 M @ M M|@|=|Ꙁ||0  @w P ` MM|||w !wYwdv% ( Rp @Times New Roman| M!|h|8 M @ M M| M!|h|8 M @ M M|@|=|Ꙁ||/  @w P ` MM|||w !wYwdv% ( Rp  @Times New Roman| M!|h|8 M @ M M| M!|h|8 M @ M M|@|=|Ꙁ||0  @w P ` MM|||w !wYwdv% ( Rp @Times New Roman| M!|h|8 M @ M M| M!|h|8 M @ M M|@|=|Ꙁ||/  @w P ` MM|||w !wYwdv% ( Rp  @Times New Roman| M!|h|8 M @ M M| M!|h|8 M @ M M|@|=|Ꙁ||0  @w P ` MM|||w !wYwdv% ( Rp @Times New Roman| M!|h|8 M @ M M| M!|h|8 M @ M M|@|=|Ꙁ||/  @w P ` MM|||w !wYwdv% ( Rp  @Times New Roman| M!|h|8 M @ M M| M!|h|8 M @ M M|@|=|Ꙁ||0  @w P ` MM|||w !wYwdv% ( % (    ' % Ld]V!??% (     Ob(Tq@wKA]KAq5Lv" |=BC8B82=0O A>AB02;ONI0O$ %'TT@wKA]KA5Lv" P  !v" ' %   % (   " % % % % %    ' % Ld^^V!??% (     Ob(T^wKA]KALv" |<0B5<0B8G5A:8E >B:@KB89   "TT^wKA]KALv" P  !v" ' %   % (   "    ' % Ld&" WMFC DD^^:!??% (    % % %  Ob(TTbrwKA]KAbLv" P  !v" ' %   % (   " Rp @Times New RomanM M Mh M W`2M M PMMU`2M M 01 MM &/01G* Times ew Roman M:'1P MP M8y%1x M &dv% % % Rp  @Times New RomanMh M W`2M M PMMU`2M M 01 MM &/01G* Times ew oman M:'1P MP M8y%1x M &dvdv% Rp @Times New Roman &/01 M| M!|h=||8 M @w!X# ?   P M." M| M MwYwdv% ( Rp  @Times New Roman|V M!|h=||8 M  M| M!|h|8 M @ M M|@|=|Ꙁ||/  @w P ` MM|||w !wYwdv% ( Rp @Times New Roman| M!|h|8 M @ M M| M!|h|8 M @ M M|@|=|Ꙁ||"3 ' @w P ` MM|||w !wYwdv% ( Rp  @Times New Roman| M!|h|8 M @ M M| M!|h|8 M @ M M|@|=|Ꙁ||/  @w P ` MM|||w !wYwdv% ( Rp @Times New Roman| M!|h|8 M @ M M| M!|h|8 M @ M M|@|=|Ꙁ||"3 ( @w P ` MM|||w !wYwdv% ( Rp  @Times New Roman| M!|h|8 M @ M M| M!|h|8 M @ M M|@|=|Ꙁ||/  @w P ` MM|||w !wYwdv% ( Rp @Times New Roman| M!|h|8 M @ M M| M!|h|8 M @ M M|@|=|Ꙁ||"3 ) @w P ` MM|||w !wYwdv% ( Rp  @Times New Roman| M!|h|8 M @ M M| M!|h|8 M @ M M|@|=|Ꙁ||/  @w P ` MM|||w !wYwdv% ( % (    ' % Ld^0^C!??% (     Ob(TbwKA]KAbLv" x!CE8E 20= 8:>;0528G   !v" ' %   % (   "    ' % Ld^1s^1C!??% (     Ob(Tb2]wKA]KAbULv" |"C;LA:0O >1;., 3.)5:8=>   )TT2]wKA]KAULv" P     ' % Ld^t^t9!??% (    % % % TTbtrwKA]KAbLv" P !v" ' %   % (   "    ' % Ld^^:!??% (    TTbrwKA]KAbLv" P !v" ' %   % (   " Rp @Times New RomanM M Mh M W`2M M PMMU`2M M 01 MM '/01G* Times ew Roman M:'1P MP M8y%1x M'dv% % %    ' % Ld^^+!??% (    TTbmwKA]KAbLv" P !v" ' %   % (   " % % %    ' % LdJ9!??% (    % % % Tx;7wKA]KA;0Lv" \ .."' % Ld;45;4!??% ( TT7wKA]KA0Lv" P T &fWMFCDDU7wKA]KA0 Lv" ` AB0BL5   TV7wKA]KAV0=Lv" @0AA<>B@5=> A>>B=>H5=85 8=BC8B82=>3> 8 ;>38G5A:>3> 2 8AB>@88    !v" ' %   % (   "    ' % LdKK:!??% (    TLpwKA]KAiLv" l<0B5<0B8:8. 0=KTTLpwKA]KAiLv" P TLpwKA]KAiLv" h4>:070B5;LAB20 TTLpwKA]KAiLv" P T|LfpwKA]KAiLv" \?@>1;5<KTTgLnpwKA]KAgiLv" P ToLpwKA]KAoi Lv" `>;L410E0TXLpwKA]KAiLv" P,  TxLpwKA]KAiLv" \B5>@5<KTTLpwKA]KAiLv" P TlLpwKA]KAiLv" X$5@<0TTLpwKA]KAiLv" P.TTL pwKA]KAiLv" P    ' % Ld+!??% (    % % % TT;FwKA]KA;Lv" P !v" ' %   % (   "    ' % Ld:!??% (    % % % T|;wKA]KA;Lv" \SUMMARY.' % Ld;;!??% ( TTwKA]KALv" P T(wKA]KAOLv" In the article the balance of guess and logic in the history of mathematics is                       !v" ' %   % (   "    ' % Ld"9!??% (    % % % T8wKA]KA'Lv" considered. The proofs of Holdbach's pr         T, wKA]KA%Lv" oblem and Fermat's theorem are given.          % % % TT  wKA]KA Lv" P !v" ' %   % (   " % % 6" 6v" 6v66! 6u! 6u66 6t 6t66 6s 6s66 6r 6r66 6q 6q6  >.@Times New Roman---  2 ?1 2 ? ,?' 2 n? ,?'@Times New Roman---  2 W?   @Times New Roman-@Times New Roman- @Times New Roman-@Times New Roman- @Times New Roman-@Times New Roman- @Times New Roman-@Times New Roman- @Times New Roman--@Times New Roman------ 2 {m ?  - @ !^}m- 2 {?    2 ?  2 ?  ---,?,--$nnn--'-- @ !n-- @ !n-- @ !\n-- @ !-- @ !-- @ !n-- @ !-- @ !n-- @ !n-- @ !\n-- @ !-- @ !--'--- 2 ? @Times New Roman---  2 n?  @Times New Roman- - -  @Times New Roman- @Times New Roman-   @Times New Roman-  @Times New Roman-   @Times New Roman-  @Times New Roman-   @Times New Roman-  @Times New Roman-   @Times New Roman-  -   - @ !`l-   v2 nG? ,          ,?-  -  ' @Times New Roman- @Times New Roman-   @Times New Roman-  @Times New Roman-   @Times New Roman-  -   - @ !`l-   2 n? t2 F? . ,             - @ !` l-   2 n?   2 ?   - @ !`&l-    2 4n?  ,?-  -  '@Times New Roman- - -  - @ !)`@l-   Ob( 2 Un?   ,?-  -  'H @Times New Roman- - - - -  @Times New Roman- @Times New Roman-   @Times New Roman-  @Times New Roman-   @Times New Roman-  @Times New Roman-   @Times New Roman-  @Times New Roman-   @Times New Roman-  -   - @ !(`il-   Ob(/2 ~#?    2 ~9?   ,?-  -  '- - - - -  - @ !(`l-   Ob(.2 +?     2 1?   ,?-  -  ' - @ !-  - - -  Ob( 2  ?  ,?-  -  '@Times New Roman- - -  @Times New Roman- @Times New Roman-  @Times New Roman- @Times New Roman-  @Times New Roman- @Times New Roman-  @Times New Roman- @Times New Roman-  @Times New Roman- -   - @ !-   Ob(,2  ?       ,?-  -  ' - @ !-   Ob(.2  ? ., .     2 ?    - @ !-  - - - 2  ? ,?-  -  ' - @ !,-   2 : ? ,?-  -  '@Times New Roman- - -  - @ !G-  2 R ? ,?- - '--- - @ !`[l- ---2 i?.  - @ !Ek- 2 i? 2 i ? g2 i=?          ,?- - ' - @ !`vl- #2 n?.     2 ?  2 ? 2 N? 2 R?  2 ? 2  ? 2 ?, 2 ? 2 ? 2 "?   2 M?. 2 Q?  - @ !`l- - - - 2 ? ,?- - ' - @ !`l- ---2 ?SUMMARY.  - @ !T- 2 ? 2 O?In the article the balance of guess and logic in the history of mathematics is   ,?- - ' - @ !`l- ---F2 n'?considered. The proofs of Holdbach's pr  C2 g%?oblem and Fermat's theorem are given.p    - - - 2 X? ,?- - '"System--??>>>>====<<