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 Oct29 awarded Self-Learner Oct23 awarded Nice Question Sep3 revised Get $5$ by doing any operations with four $7$s fewer 7's based on Darth's suggestion; added 46 characters in body Sep3 answered Get $5$ by doing any operations with four $7$s Jun26 comment How to calculate these totient summation sums efficiently? Wouldn't enumerating the Farey sequence using a recursive technique be of order of the length of the Farey Sequence, \sum_{n=1}^N \phi(n) and not of order N? Apr14 answered Dimension of solution space has 3 vectors but 6 components? Apr14 comment How do I add two independent probability functions? Your probability density functions (pdf) pd_1 and pd_2 don't match your description of being "uniform". It seems like your mixing and matching probability distribution with cumulative distributions. For the pdf (prob(X=x)) it should be 0, then some constant for a period (1/length of period), then back to 0 because all non-zero times should have equal probability for it to be "uniform". If you look at the cumulative probability (prob(X>x)) of these it would be 0, then x/(length of period), then 1 afterwords. Mar15 awarded Popular Question May23 awarded Yearling Apr9 comment How many numbers of the form $p_1^2 p_2 p_3$ are there less than $10^{15}$ for $p_1$, $p_2$, $p_3$ distinct primes? Exact. It'll need to work with other power combinations. It doesn't necessarily have to be able to go up to 10^{15}, but the higher I can get an exact answer the better. Apr8 asked How many numbers of the form $p_1^2 p_2 p_3$ are there less than $10^{15}$ for $p_1$, $p_2$, $p_3$ distinct primes? Mar30 accepted Are there sequences in which you can prove there are no closed form? Mar30 accepted Random Walk solution shortcut Mar30 accepted Heronian triangle Generator Feb28 awarded Teacher Feb27 answered Heronian triangle Generator Feb27 asked Heronian triangle Generator Dec7 awarded Scholar Dec7 accepted Number of ways to put $n$ unlabeled balls in $k$ bins with a max of $m$ balls in each bin Dec7 awarded Editor