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Two amateur mathematicians were at UCLA to hear a lecture delivered by Terence Tao. One of them, Optimist Oliver said to his friend Pessimist Peter.

Oliver : I am going to ...

A positive integer \(n\) is said to be anti-prime if it has more factors than any positive integer less than \(n\).

1 has 1 factor \((1)\); 2 has 2 factors ...

I booked center court tickets for the Wimbledon Men's Final best-of-five match. As luck would have it, I got stuck in traffic and now I cannot make it to ...

There are some very simple questions in mathematics which don't seem to have a clear answer.

The value of \(\frac{0}{0}\) is one of them.

Similarly, there are ...

Let \(a\) be a positive real number such that \(a^x=x\) has a real solution \(x\).

What is the maximum possible value of \(\lfloor 1000a \rfloor \) ?

Enter your answer ...

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