MathCastle
Number TheoryChallengeThe Chinese Remainder Theorem

The Chinese Remainder Theorem · Challenge problem

Find the integer ee with 0≤e<10010 \le e < 1001 such that e≡1(mod7)e \equiv 1 \pmod 7, e≡0(mod11)e \equiv 0 \pmod{11} and e≡0(mod13)e \equiv 0 \pmod{13}.