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Seven Odd Primes (Posted on 2007-10-20) Difficulty: 4 of 5
Following are seven odd primes where each distinct digit (0 to 9) was substituted with a corresponding distinct letter in all the given numbers. None of the following numbers begin with a leading zero.

THREE
FIVE
SEVEN
ELEVEN
THIRTEEN
SEVENTEEN
NINETEEN

If you can, identify the corresponding digit for each letter.

See The Solution Submitted by Dej Mar    
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Solution solution | Comment 2 of 4 |
48533
2903
13037
363037
48954337
130374337
79734337
from
   10   dim Taken(9)
  100    :for T=1 to 9
  200    :Taken(T)=1
  300    :
  400    :for F=1 to 9
  500    :if Taken(F)=0 then
  600    :Taken(F)=1
  700    :
  800    :for S=1 to 9
  900    :if Taken(S)=0 then
 1000    :Taken(S)=1
 1100    :
 1200    :for E=1 to 9
 1300    :if Taken(E)=0 then
 1400    :Taken(E)=1
 1500    :
 1600    :for N=1 to 9
 1700    :if Taken(N)=0 then
 1800    :Taken(N)=1
 1900    :
 2000    :for H=0 to 9
 2100    :if Taken(H)=0 then
 2200    :Taken(H)=1
 2300    :
 2400    :for I=0 to 9
 2500    :if Taken(I)=0 then
 2600    :Taken(I)=1
 2700    :
 2800    :for V=0 to 9
 2900    :if Taken(V)=0 then
 3000    :Taken(V)=1
 3100    :
 3200    :for R=0 to 9
 3300    :if Taken(R)=0 then
 3400    :Taken(R)=1
 3500    :
 3600    :for L=0 to 9
 3700    :if Taken(L)=0 then
 3800    :Taken(L)=1
 3900    :
 4000    :Three=T*10000+H*1000+R*100+E*11
 4100    :Five=F*1000+I*100+V*10+E
 4200    :if prmdiv(Three)=Three and prmdiv(Five)=Five then
 4300    :Seven=S*10000+E*1010+V*100+N
 4400    :Eleven=E*101010+L*10000+V*100+N
 4500    :if prmdiv(Seven)=Seven and prmdiv(Eleven)=Eleven then
 4600    :Thirteen=T*10001000+H*1000000+I*100000+R*10000+E*110+N
 4700    :Seventeen=S*100000000+E*10100110+V*1000000+N*10001+T*1000
 4800    :if prmdiv(Seventeen)=Seventeen and prmdiv(Thirteen)=Thirteen then
 4900    :Nineteen=N*10100001+I*1000000+E*10110+T*1000
 5000    :if prmdiv(Nineteen)=Nineteen then
 5100    :print:print Three:print Five:print Seven:print Eleven
5110 :print Thirteen:print Seventeen:print Nineteen
 5200    :endif
 5300    :endif
 5400    :endif
 5500    :endif
 5600    :
 5700    :Taken(L)=0
 5800    :endif
 5900    :next
 6000    :
 6100    :Taken(R)=0
 6200    :endif
 6300    :next
 6400    :
 6500    :Taken(V)=0
 6600    :endif
 6700    :next
 6800    :
 6900    :Taken(I)=0
 7000    :endif
 7100    :next
 7200    :
 7300    :Taken(H)=0
 7400    :endif
 7500    :next
 7600    :
 7700    :Taken(N)=0
 7800    :endif
 7900    :next
 8000    :
 8100    :Taken(E)=0
 8200    :endif
 8300    :next
 8400    :
 8500    :Taken(S)=0
 8600    :endif
 8700    :next
 8800    :
 8900    :Taken(F)=0
 9000    :endif
 9100    :next
 9200    :
 9300    :Taken(T)=0
 9400    :next

Edited on October 20, 2007, 7:43 pm
  Posted by Charlie on 2007-10-20 19:40:58

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