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June 24th, 2016, 11:04 AM  #1 
Senior Member Joined: Mar 2015 From: England Posts: 201 Thanks: 5  I've had a go at trying to find a pattern to prime numbers
Prime Remainder * Fraction +1 = Prime Fraction * Ordinal = Prime 11212 10.51.523 20.31.635 And so on. The most exciting part for me was when I tried to find the Prime fractions pattern, it led me on to using Continued fractions and it worked for the first three. (1+1) = 2 (1+1/(1+1)) = 1.5 (1+1/(1+1/(1+1))) = 1.6 And then it stopped I just had to share this. Last edited by HawkI; June 24th, 2016 at 11:17 AM. 
June 24th, 2016, 12:22 PM  #2 
Senior Member Joined: Jan 2014 From: The backwoods of Northern Ontario Posts: 390 Thanks: 70 
Doing it on my calculator, I found your third line does not equal 1.6, but 1.666... (which when multiple by 3, results in 5) I tried doing a fourth line, and that one worked out to 1.6 
June 25th, 2016, 10:06 AM  #3 
Senior Member Joined: Mar 2015 From: England Posts: 201 Thanks: 5 
1+11/2+1/9(1/15+(1/10+1/20)) + (1/4+1/5)1/30 I saw that pi divided by four is equal to one minus one third plus one fifth minus one seventh and so on. So I tried something similar to find prime fraction pattern, unfortunately I don't think the above is really a pattern at all. EDIT: I just used a calculator and realized the above is wrong, I messed up on + 1/9 it makes 1.61... not 1.6... I do feel that finding prime fractions is the way forward to finding primes. 1+11/2+1/9+1/45(1/15+(1/10+1/20)) + (1/4+1/5)1/30 Last edited by HawkI; June 25th, 2016 at 10:16 AM. Reason: Ammendments 
June 25th, 2016, 06:39 PM  #4 
Senior Member Joined: Jan 2014 From: The backwoods of Northern Ontario Posts: 390 Thanks: 70 
What is a "prime fraction"?

June 26th, 2016, 10:49 AM  #5 
Senior Member Joined: Mar 2015 From: England Posts: 201 Thanks: 5 
I'm taking prime fractions more seriously now, Check this out 01234 1+11/2+1/6+1/12 Prime fractions are fractions that when multiplied by their ordinal makes prime. EDIT: I'm looking at this on a spread sheet Last edited by HawkI; June 26th, 2016 at 11:05 AM. Reason: Just found another one, and more explanation 
June 27th, 2016, 07:37 AM  #6 
Senior Member Joined: Mar 2015 From: England Posts: 201 Thanks: 5 
Hello everyone, so I've been working more on prime fractions 1+11/2+1/6+1/12+9/20...1/30.+.11/42....3/56...+..13/72..+...31/90..2/110.+..35/132 0246810121416182022 So I worked out that the bottom row is that the denominator gets the two times table added to it. As for the top row, well I haven't a clue. I think if I was a Mathematics Institute this would be one of those things I would offer a Million pounds for. But what I can realistically offer you is possible satisfaction, an askii art thumbs up and a thanks on the post. EDIT: Enumerator, up close and personal. 1,1,1,9,1,11,3,13,31,2,35 Oh and I'll quote your post in my caption on this forum for the rest of time. Last edited by HawkI; June 27th, 2016 at 07:53 AM. 

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