remainder (6^7+17^6)/7

• 0..
  euler of 7 is 6
  so 6^7/7 gives remainder 6
  and 17^6/7 gives.....1
  so adding 6+1=7
  which divided by 7 gives 0 remainder
• 10 years agoHelpfull: Yes(0) No(0)
• Answer: 0
  
  6^17 = 6^4 * 6^4 * 6^4 * 6^4 * 6
  17^6 = 17^2 * 17^2 * 17^2
  
  (6^4)/7 gives remainder 1
  6/7 gives remainder 6
  so 1*1*1*1*6 = 6 . this is the remainder part of 6^17.
  like wise (17^2)/7 gives remainder 2.
  so 2*2*2 = 8 . this is the remainder part of 17^6.
  6^17 + 17^6 = 6 +8 = 14 . 14/7 gives remainder 0.
• 10 years agoHelpfull: Yes(0) No(0)