Paul Erdős
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Paul Erdős was a Hungarian mathematician. He was one of the most prolific mathematicians and producers of mathematical conjectures of the 20th century. Erdős pursued and proposed problems in discrete
Erdős in 1992
Counter-clockwise from left: Erdős, Fan Chung, and her husband Ronald Graham, Japan 1986
Erdős explains a problem to Terence Tao, who was 10 years old at the time (1985).
Grave of Erdős, Kozma Street Cemetery, Budapest
Collatz conjecture
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The Collatz conjecture is one of the most famous unsolved problems in mathematics. The conjecture asks whether repeating two simple arithmetic operations will eventually transform every positive integ
Paul Erdős
…Green–Tao theorem. The payment for the solution of the problem is currently worth US$5,000. The most familiar problem with an Erdős prize is likely the Collatz conjecture, also called the 3N + 1 problem. Erdős offered $500 for a solution. Erdős's most frequent collaborators include Hungarian mathematicians András Sárközy…
The x axis represents starting number, the y axis represents the highest number reached during the chain to 1. This plot shows a restricted y axis: some x values produce intermediates as high as 2.7×107 (for x = 9663)
The number of iterations it takes to get to one for the first 100 million numbers.
A Collatz fractal centered at the origin, with real parts from –5 to 5.
Julia set of the exponential interpolation.