0

I have trouble even starting on the question because I cannot create any relationships between those 5 numbers.

Gerard L.
  • 2,591
  • 2
    Hint: use the Chinese remainder theorem to build an example. – lulu Jan 13 '18 at 01:38
  • @lulu But then I would be working with multiple variables. How would I able to define a relationship if I am not given a number for a congruence? – Gerard L. Jan 13 '18 at 01:55
  • 4
    To make the suggestion more precise: use CRT to find $n$ such that $n \equiv 0 \pmod{2^3}$, $n \equiv -1 \pmod{3^3}$, $n \equiv -2 \pmod{5^3}$, $n \equiv -3 \pmod{7^3}$, $n \equiv -4 \pmod{11^3}$. – Daniel Schepler Jan 13 '18 at 01:57
  • Solve $n\equiv 0 \pmod {2^3}$, $n\equiv 1 \pmod {3^3}$, $n\equiv 2\pmod {5^3}$.... – lulu Jan 13 '18 at 01:57

0 Answers0