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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 -------1-----------------1------------------2---------------1--------2 -------1----------------0.5----------------1.5--------------2--------3 -------2----------------0.3----------------1.6--------------3--------5 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: 393 Thanks: 71 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+1-1/2+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+1-1/2+1/9+1/45-(1/15+(1/10+1/20)) + (1/4+1/5)-1/30 Thanks from manus 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: 393 Thanks: 71 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 0--1---2---3-----4 1+1-1/2+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+1-1/2+1/6+1/12+9/20.-..1/30.+.11/42..-..3/56...+..13/72..+...31/90.-.2/110.+..35/132 --0-2----4----6------8-----10------12--------14--------16---------18--------20-------22 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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