Egg Collection Puzzle

Your friend has an egg collection comprising at least $ 200 $ eggs. He wants to store them in dozen-egg containers. After filling as many containers as possible, the last container had $ 1 $ egg left over. He then decided to store his eggs in customized baker-dozen-egg containers, where each container can hold $ 13 $ eggs. It turns out that, after filling as many of these containers as possible, he still has $ 1 $ egg left over. What is the minimum number of eggs that your friend could have?

  • 1
  • 2
  • 3
  • +
  • 4
  • 5
  • 6
  • -
  • 7
  • 8
  • 9
  • $\frac{a}{b}$
  • .
  • 0
  • =
  • %
  • $a^n$
  • $a^{\circ}$
  • $a_n$
  • $\sqrt{}$
  • $\sqrt[n]{}$
  • $\pi$
  • $\ln{}$
  • $\log$
  • $\theta$
  • $\sin{}$
  • $\cos{}$
  • $\tan{}$
  • $($
  • $)$
  • $[$
  • $]$
  • $\cap$
  • $\cup$
  • $,$
  • $\infty$