factoring request
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From: dan73 on 1 Nov 2009 19:25 > Plz factor the following 4 numbers : > > (46^46 - 1) /( (46+1)*(46-1)) > > (58^58 - 1) /( (58+1)*(58-1)) > > (82^82 - 1) /( (82+1)*(82-1)) > > (106^106 - 1) /( (106+1)*(106-1)) > > > thank you. > > > regards > > tommy1729 More of a challenge -- The 3 + the first 111 decimal digits of pi changed to an integer. 3.141592653589793238462643383279502884197169399375105820974944592307816406286208998628034825342117067982148086513e+111. Dan
From: Pubkeybreaker on 2 Nov 2009 08:12 On Nov 2, 5:25 am, dan73 <fasttrac...(a)att.net> wrote: > > Plz factor the following 4 numbers : > > > (46^46 - 1) /( (46+1)*(46-1)) > > > (58^58 - 1) /( (58+1)*(58-1)) > > > (82^82 - 1) /( (82+1)*(82-1)) > > > (106^106 - 1) /( (106+1)*(106-1)) > > > thank you. > > > regards > > > tommy1729 > > More of a challenge -- > The 3 + the first 111 decimal digits of pi changed > to an integer. > > 3.141592653589793238462643383279502884197169399375105820974944592307816406286208998628034825342117067982148086513e+111. > > Dan- Hide quoted text - > > - Show quoted text - Not much of a challenge. A few days computing on a single PC using GNFS. Even less if one can pull out a small factor or two with ECM.
From: dan73 on 2 Nov 2009 02:52 On Nov 2, 5:25 am, dan73 <fasttrac...(a)att.net> wrote: > >> Plz factor the following 4 numbers : > > >> (46^46 - 1) /( (46+1)*(46-1)) > > >> (58^58 - 1) /( (58+1)*(58-1)) > > >> (82^82 - 1) /( (82+1)*(82-1)) > > >> (106^106 - 1) /( (106+1)*(106-1)) > > >> thank you. > > >> regards > > >> tommy1729 > >> More of a challenge -- >> The 3 + the first 111 decimal digits of pi changed >> to an integer. > > 3.141592653589793238462643383279502884197169399375105820974944592307816406286208998628034825342117067982148086513e+111. > >> Dan- Hide quoted text - > > - Show quoted text - >Not much of a challenge. A few days computing on a >single PC using >GNFS. Even less if one can >pull out a small factor or two with ECM. You are probably right, I have only run it on ECM for a few hours and @ curve 750 it appears this composite has at most three factors but maybe only two.
From: master1729 on 2 Nov 2009 05:21 Virgil wrote : > In article > <968439331.150126.1257112893522.JavaMail.root(a)gallium. > mathforum.org>, > master1729 <tommy1729(a)gmail.com> wrote: > > > Virgil wrote : > > > > > In article > > > > <1699063352.149909.1257108152590.JavaMail.root(a)gallium > > > .mathforum.org>, > > > master1729 <tommy1729(a)gmail.com> wrote: > > > > > > > > Plz factor the following 4 numbers : > > > > > > > > > > (46^46 - 1) /( (46+1)*(46-1)) > > > > > > > > > > (58^58 - 1) /( (58+1)*(58-1)) > > > > > > > > > > (82^82 - 1) /( (82+1)*(82-1)) > > > > > > > > > > (106^106 - 1) /( (106+1)*(106-1)) > > > > > > > > > > > > > > > thank you. > > > > > > > > > > > > > > > regards > > > > > > > > > > tommy1729 > > > > > > > > I said PLZ. > > > > > > (46^46 - 1) /( (46+1)*(46-1)) factors into > > > > > > [(46^46 - 1) / (46-1)] * [(46^23 + 1) / (46^23 + > > > 3 + 1)] > > > > > > And similarly for the others. > > > > sigh. > > > > im tired of these jokes. > > > > you people know darn well that > > > > 1) i was aware of the above trivial factorization > > > > or should i say : " what is intended " since the > above is actually wrong : > > > > quote : > > > > (46^46 - 1) /( (46+1)*(46-1)) factors into > > > > [(46^46 - 1) / (46-1)] * [(46^23 + 1) / (46^23 + > 1)] > > > My poor proof reading, sorry. > Should have been > [(46^46 - 1) / (46-1)] * [(46^23 + 1) / (46+ 1)] > > Which is a factorization. still wrong !! lol regards tommy1729
From: master1729 on 2 Nov 2009 05:26
dan73 wrote : > > Plz factor the following 4 numbers : > > > > (46^46 - 1) /( (46+1)*(46-1)) > > > > (58^58 - 1) /( (58+1)*(58-1)) > > > > (82^82 - 1) /( (82+1)*(82-1)) > > > > (106^106 - 1) /( (106+1)*(106-1)) > > > > > > thank you. > > > > > > regards > > > > tommy1729 > > More of a challenge -- > The 3 + the first 111 decimal digits of pi changed > to an integer. > > 3.1415926535897932384626433832795028841971693993751058 > 209749445923078164062862089986280348253421170679821480 > 86513e+111. > > Dan nice problem. i think its not so hard if you use a computerprogram. but perhaps we can do without computers and use some math tricks !? for instance the many formula's concerning sin , arcsin etc and products ? maybe that is too optimistic. or not. i bet on q-sine ... regards tommy1729 |