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Sep 25th, 2017, 7:20pm


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sbmeTW
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xx counterproof
« Thread started on: Jun 18th, 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 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 ,non-prime back to same np ,counter proving all end up as prime.
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tooanalytical
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xx Re: counterproof
« Reply #1 on: Jun 18th, 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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xx Re: counterproof
« Reply #2 on: Jun 19th, 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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xx Re: counterproof
« Reply #3 on: Jun 19th, 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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xx Re: counterproof
« Reply #4 on: Jun 19th, 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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xx Re: counterproof
« Reply #5 on: Jun 19th, 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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