2014 · Q28
What is the remainder when (17²³ + 23²³ + 29²³) is divided by 23?
Elementary MathematicsNumber System
- A0
- B1
- C2
- D3
Explanation
17 ≡ −6 and 29 ≡ 6 (mod 23), so (−6)²³ + 0 + 6²³ = 0 since the exponent is odd.
What is the remainder when (17²³ + 23²³ + 29²³) is divided by 23?
Explanation
17 ≡ −6 and 29 ≡ 6 (mod 23), so (−6)²³ + 0 + 6²³ = 0 since the exponent is odd.