Beginning in 1955, he published the problems he found interesting in dedicated papers: more than 900 in all, including those published after his death in 1996. They span every field that interested him: first and foremost, of course, number theory, followed by combinatorics and graph theory, but also geometry, unit fractions, analysis... Of all these published problems, only a little over 300 have been solved to date.
A list of all these problems and any known solutions is kept up to date on a dedicated website (**www.erdosproblems.com**) by Thomas Bloom, currently a research associate at the University of Manchester in England. He has personally solved several of them.
A few examples
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The $10,000 problem that has been solved concerns the gap between two consecutive prime numbers (see the article). It was solved in 2016 by five authors, including James Maynard and Terence Tao. In fact, Erdős had reduced the prize to $5,000, reserving the original amount for another lower bound that remains unproved to this day.
The other 1,000 to $10,000 as his thinking on the subject evolved.
