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June 19th, 2009, 10:25 AM  #31  
Global Moderator Joined: Nov 2006 From: UTC 5 Posts: 16,046 Thanks: 938 Math Focus: Number theory, computational mathematics, combinatorics, FOM, symbolic logic, TCS, algorithms  Re: Strange observation with primes Quote:
I gave the code that generates that list. Even on a 10yearold computer you should be able to generate it in seconds. Here's improved code, by the way. My computer can get the 39,841 solutions of 55 iterations in about 10 seconds with it. Code: odd(v)=my(vv=[]);for(i=1,#v,if(v[i]%2,vv=concat(vv,v[i])));vv step(vu)={my(v=vu[1],u=vu[2],uu=vector(#u,i,u[i]*2),t);for(i=1,#u,if(u[i]%3==2,t=(2*u[i]1)/3;if(!isprime(t),uu=concat(uu,t))));[vecsort(concat(v,odd(u)),,8),vecsort(uu,,8)]} go(n)=my(vu=[[],[5]]);for(i=1,n,vu=step(vu));vecsort(concat(vu[1],vu[2]),,8) v=go(55);#v  
June 19th, 2009, 07:26 PM  #32 
Senior Member Joined: Dec 2008 Posts: 206 Thanks: 0  Re: Strange observation with primes
I am saying that the conjecture doesn't work and collatz has to be proved for all numbers just like the way it has been stated in the conjecture. Anyway thanks for the code. Cheers !!! 

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