Erdös number is the number of "hops" needed to connect the author of a paper with the prolific late mathematician Paul Erdos. An author's Erdos number is 1 if he has co-authored a paper with Erdos, 2 if he has co-authored a paper with someone who has co-authored a paper with Erdos, etc. (Eric W. Weisstein. "Erdos Number." From MathWorld--A Wolfram Web Resource. http://mathworld.wolfram.com/ErdosNumber.html). The distribution of Erdös numbers is such that almost every mathematician with a finite Erdös number has a number of less than 8 - only about 2% are higher, and none is more than 15.
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I'm not a mathematician but I have Erdös number. It is less or equal than 4. This is
a path: