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Can you find four evenly spaced prime numbers and what can you say about thepossible spacings?
There is something called the greenTao Theroem. And it states exactly this.Terence Tao and his Math buddy manages to prove that for any integer k thereis a run of k primes that are all evenly spaced by some space n.So yeA. There are 4 evenly spaced primes. But what can we say about thespaceswell it cant be 1 or one of them will be even.Cant be 2 or one of them is divisible by 3.Cant be 3 or one is divisible by 4cant be any odd number. Or one will be even.Cant be below four because one will be Divisible by 4.Mand that about it. There are some more constraints that you could have butIm typing this on my phone and dont have too much time.so againno odd numbers or numbers below four or they cant all be prime. And finallyand examplek 4 length of 4n 6 spacing of 611 17 23 29
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