10/23/17

number 29

Code: PU  
P=100 (k=71=13 (mod 29) )

Formulae:
Number N is divisible by 29 iff 13*b+a is divisible by 29

Example:
Number N = 98 76 54 32 13 = 11 18 25 3 13 =
13( 11 18 25 3)+13 =
13(13(11 18 25+3)+13 =
13(13(13(11 18+25)+3)+13 =
13(13(13(11*17+18)+25)+3)+13 =
13(13(13*    2+25)+3)+13 =
13(13*      22+3)+13 =
13*         28+13 = 0 (mod 29)
is divisible by 29.



Code: SF  3*10-1*29=1
3(10b+a) = b+3a (mod 29)
Formulae:
Number N is divisible by 29 iff b+3a is divisible by 29

Example:
Number N = 68931
6893+3*1 = 6896
 689+3*6 = 707
  70+3*7 = 91
   9+3*1 = 12
isn't divisible by 29



Code: SF-  26*10-9*29=-1
26(10b+a) = -b+26a = -(b+3a) (mod 29)
It is the same as above.