statement.html
problem 47 · 14 lines
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<p>The first two consecutive numbers to have two distinct prime factors are:</p>
$$\begin{align}
14 &= 2 \times 7\\
15 &= 3 \times 5.
\end{align}$$
<p>The first three consecutive numbers to have three distinct prime factors are:</p>
$$\begin{align}
644 &= 2^2 \times 7 \times 23\\
645 &= 3 \times 5 \times 43\\
646 &= 2 \times 17 \times 19.
\end{align}$$
<p>Find the first four consecutive integers to have four distinct prime factors each. What is the first of these numbers?</p>
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