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Lets use the following prime numbers to illustrate this effect ... 41, 1009 and 10007.
1. 41 x 41 = 1681
2. 1681 / 24 = 70.0416666666666 (repeating)
3. 70 + 1 = 72
4. 0.0416666666666 x 24 = 1
Therefore, 1681 (41 squared) is on Circle 72, Ray1
Originally posted by dangrsmind
Sorry I don't really think you've discovered anything new here. What you are really doing is eliminating the non-prime numbers; this can not be used as a method of finding primes.
FWIW, yes I have a degree in mathematics and I have studied number theory although this is not my specialty.
Originally posted by tauristercus
In this post, I've decided to go the visual route using geometry, as an alternative way of visualizing prime number creation. Often, it's easier to "see" something rather than having it described in words or maths.
Originally posted by WoodEye
And as stated by others in this thread its not really that revolutionary if you understand that
All primes greater than 3 are of the form 6k-1 or 6k+1
Actually, I think that somewhere near the infinity, there is a prime, which when added or subtracted by 1 and then divided by 6, doesn't return a whole number. Can anyone show me that such a prime doesn't exist without making the trip to the infinity?
Originally posted by tauristercus
reply to post by stander
Actually, I think that somewhere near the infinity, there is a prime, which when added or subtracted by 1 and then divided by 6, doesn't return a whole number. Can anyone show me that such a prime doesn't exist without making the trip to the infinity?
" ... near the infinity ... " ?
Not sure what you mean by that statement as there is no such thing as being "near" infinity.
As there are an infinity of primes, you can select ANY prime that you want (no matter how big) and from that point on, you can be guaranteed that there will still ALWAYS be an infinity of primes after it.
So, based on the above, I'm not really sure what you're getting at.
That's strange that you couldn't grasp the meaning of "near infinity," when you use the term "infinity of primes," which is very misleading, coz infinity is not a number, nor is it a synonym to "bunch of" or "plenty of" primes.
Originally posted by tauristercus
reply to post by stander
That's strange that you couldn't grasp the meaning of "near infinity," when you use the term "infinity of primes," which is very misleading, coz infinity is not a number, nor is it a synonym to "bunch of" or "plenty of" primes.
Nothing strange about it as in maths, the term "infinity", usually denotes an unbounded limit.
In this thread, we are concerned only with the set of positive integers n, where n grows without bound, i.e. Ip = [1,2,3,4,5, ...., n].
Don't make the common mistake of thinking that the concept of "infinity" can be equivalent to a number, because it can't.