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Topic: counterproof (Read 128 times) 

sbmeTW
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counterproof
« Thread started on: Jun 18^{th}, 2017, 4:59pm » 

Found this ,someone found a number following certain rules ,where it does not end in prime,as the norm is, it always does. He could get 1000 dollars from the mathematician John Conway for counter proving ,that all numbers using these rules will end up giving a prime. The number below is the one found . where as all other numbers so far ,climb and terminates in a prime. EG. 60 =2 ² x 3 x 5 =2235 = 3 x 5 x 149 =35149 =prime
FOR 13532385396179 sqr is 3678639 factor 1 is>1 factor 2 is>13 factor 3 is>53 factor 4 is>689 factor 5 is>2809 factor 6 is>3853 factor 7 is>36517 factor 8 is>50089 factor 9 is>96179 factor 10 is>204209 factor 11 is>1250327 factor 12 is>2654717
prime Factorization only 13 53 53 3853 96179
END 6782ms
Prime Factorization= 1353(2)385396179 same as number 13532385396179 ,it goes into a loop ,nonprime back to same np ,counter proving all end up as prime.


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tooanalytical
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Re: counterproof
« Reply #1 on: Jun 18^{th}, 2017, 11:04pm » 

I have too much trouble following what you were saying. We could use any of our prime number factorization programs to fully factorize the given input number. How that helps, I do not know.


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bplus
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Re: counterproof
« Reply #2 on: Jun 19^{th}, 2017, 08:36am » 

Yes, I am having trouble understanding the significance of what the original post is about. I do know John Horton Conway is excellent mathematician and if he looses a bet it is significant.
Perhaps there is a link that could be copy pasted here with more background information?


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tsh73
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Re: counterproof
« Reply #3 on: Jun 19^{th}, 2017, 09:46am » 

Quote:Perhaps there is a link that could be copy pasted here with more background information? 

I believe this is it
https://oeis.org/A248380/a248380.pdf
problem #5


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bplus
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Re: counterproof
« Reply #4 on: Jun 19^{th}, 2017, 10:26am » 

Thanks tsh73, the climb to a prime function, I had never seen that before!
So f(15) = 35 f(35) = 57 f(57) = 319 f(319) = 1129 f(1129) = 1129 climbed to a prime!


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bplus
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Re: counterproof
« Reply #5 on: Jun 19^{th}, 2017, 11:24am » 

Code:if 13*53^2*3853*96179 = 13532385396179 then print "13*53^2*3853*96179 = 13532385396179" else print "13*53^2*3853*96179 <> 13532385396179"
13, 53, 3853, 96179 are all prime factors of 13532385396179
and the climb to prime function is fixed (stuck) at this number which is not prime, therefore this is a counter example of always climbing to a prime.
Why didn't John Horton Conway take the case for 20 as a warning? Maybe John H. Conway likes throwing money around. ;)


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