Here's a sneak peek of /r/mathematics using the top posts of the year!
#1: Plot of sin(x)cos(x) of the 5000 first prime number vs. a comparable random list of 5000 numbers. Why the symmetry?
#2: What math topic would you explain in 5-10 minutes to the layman, if prompted during a job interview?
#3: Is there an upper-limit to the space between two prime numbers, or does the spacing go to infinity?
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