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you may have heard that thereamp;#39;s no formula for the prime numbers but thatamp;#39;s not exactly true in 1964 CP willins found this Beast of a formula for the nth prime number weamp;#39;ll break it down into pieces but feel free to pause the video to digest it a little or for it to digest you its components are all basic arithmetic and trigonometric functions along with some ones twos and this pie sitting down here for some reason and somehow this particular assemblage of functions that have nothing to do with primes on their own actually computes Primes plug in 1 and it gives you the first prime plug in 4 it gives you the fourth Prime plug in 1000 it gives you the one thousandth Prime amazing so what kind of sorcery is this surely thereamp;#39;s some trick because the primes are supposed to be kind of randomly distributed among the integers so there shouldnamp;#39;t be a formula for them but on the other hand if you type willenamp;#39;s formula into your favorite programmin