Consecutive integers

Number Theory Level 4

Let a<b<c<da < b < c < d be four consecutive positive integers such that

  • aa is divisible by 5,
  • bb is divisible by 7,
  • cc is divisible by 9, and
  • dd is divisible by 11.

Find the minimum value of a+b+c+d.a+b+c+d.

Paola Ramírez by Paola Ramírez
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