
Re: new Conjecture Primes the sum or subtraction of two perfect squares #2020 Correcting Math
Posted:
Sep 4, 2014 3:49 PM


On Thursday, September 4, 2014 3:57:51 AM UTC5, Archimedes Plutonium wrote: > Perhaps I should not give up so quickly that the primes have no general formula that delivers all primes. > (snipped) > > > 1+1 = 2 > > > > > > 41 = 3 > > > > > > 94 = 5 > > > > > > 169 = 7 > > > > > > 3625 = 11 > > > > > > 9+4 =13 >
Alright, the conjecture looks to be true, in that I have not found any counterexample.
The 10th prime is 29 and the 10th perfectsquare is 100
Now, how far out do I need to go to find the first and perhaps only 29 = psq_1 + or  psq_2
Well it happens that 225196 = 29
However, 29 = 25 +4
So I need to discard the idea of 11 correspondence because it is somewhat clear that we have a sort of oscillation like a trig function of add or subtract. Perhaps even a harmonic oscillation.
Now it is clearly known that the primes are more abundant than the perfectsquares because we have to go to 100 for the 10th perfect square yet only 29 for the 10th prime. So I can forget or discard the idea of 11 correspondence of prime to perfect square.
Now the subtraction appears to give me many primes, but does the addition give me as many?
AP

