======================PRAGUE 18.12.2008- THE BEST TO YOU ALL FOR THE OUR HOLIDAYS AND THE NEWS YEAR 2009 ===========
============= THANK TO YOU THE BEST FOR YOUR INFORMATION AND THANKING I CAN SEND TO YOU THE NEWS- IF YOUR REMARKES- YOU ARE REALY VERY GOOD REGARDING I GOT THE NEWS OF THE SQUARES TO BE USED FOR THE PROBLEMS OF THE BIOLOGY THANKING MR DR. STEPHAN GRUPP TO MUCH, TOO ============================================== Anna Zezulová <[email protected]> Komu: [email protected] , [email protected] , [email protected] , [email protected] , [email protected] Předmět: for Prime Nos- the cooperation - sending by Ms. Anna Zezulová, Jihlavská 613/22, 14000 Prague 4, Czech RepublicFwd:[Prime] Help in Factoring Needed! Datum: 21.11. 2008, 12:29 - před 27 dny ----------- Původní zpráva ------------ Od: Anna Zezulová <[email protected]> Předmět: for Prime Nos- the cooperation - sending by Ms. Anna Zezulová, Jihlavská 613/22, 14000 Prague 4, Czech RepublicFwd:[Prime] Help in Factoring Needed! Datum: 21.11.2008 12:29:46 ---------------------------------------- FOR NICE ATTENTION MR. ARTUR AND PRIME HOGRANCH- AND MR. STEINAR H. GUNDERSON, MR JABARI ZAKIYA, MR. ALEXANDER KRUPPA ============================================================= WITH THE BEST FOR ALL OF US ========================= I THANK YOU TO MUCH IT IS VERY- O.K. FOR ME I LIKE TO SEND TO YOU MY LAST SUGGESTIONS PLEASE- I WILL DO IT ONLY IF YOU HELP ME THE NO 729 IS TO BE- TOO- 279 I GOT , TOO I CANNOT UNDERSTAND TO MUCH LIKE YOU- BUT I KNOW YOU ARE VERY NICE PEOPLE. MANY THANKS MS. ANNA ZEZULOVÁ, JIHLAVSKÁ 613/22, 14000 PRAGUE 4 THE BEST FOR YOU PRAGUE 21.11.2008 == ENCL YOUR E MAIL INFORMATION ------------ Původní zpráva ------------ Od: Artur <[email protected]> Předmět: [Prime] Help in Factoring Needed! Datum: 20.11.2008 19:20:02 ---------------------------------------- Dear Prime Gurus, I would like to ask about factorizing following number on prime factors: N=1966382802018295849983426140507775310581529713937897353137000391612422\ 8278817175390596880190641015445045632436171849324612595906231468275752\ 7061637282120947925875224843503921645170678491988278295011723585321614\ 64349494218512454182166238160960541165661049938151951871347 Smallest prime factor is of the form 486k+1 and k>10^6 and probably for biggest factors of N k is divisable be powers of 3 range 2-5 For any help I would like to thank on advance! Best wishes ARTUR _______________________________________________ Prime mailing list [email protected] http://hogranch.com/mailman/listinfo/prime ===================================== Od: Steinar H. Gunderson <[email protected]> Komu: [email protected] , The Great Internet Mersenne Prime Search list <[email protected]> Kopie: Number Theory List <[email protected]> Předmět: Re: [Prime] Help in Factoring Needed! Datum: 20.11. 2008, 19:22 - včera v 19:22 On Thu, Nov 20, 2008 at 06:53:34PM +0100, Artur wrote: > I would like to ask about factorizing following number on prime factors: > N=1966382802018295849983426140507775310581529713937897353137000391612422\ > 8278817175390596880190641015445045632436171849324612595906231468275752\ > 7061637282120947925875224843503921645170678491988278295011723585321614\ > 64349494218512454182166238160960541165661049938151951871347 > Smallest prime factor is of the form 486k+1 and k>10^6 and probably for > biggest factors of N k is divisable be powers of 3 range 2-5 3110690934667 is a factor, at least. /* Steinar */ -- Homepage: http://www.sesse.net/ _______________________________________________ Prime mailing list [email protected] http://hogranch.com/mailman/listinfo/prime ===================================== Od: Jabari Zakiya <[email protected]> Komu: [email protected] , The Great Internet Mersenne Prime Search list <[email protected]> Předmět: Re: [Prime] Help in Factoring Needed! Datum: 20.11. 2008, 20:45 - včera v 20:45 Have you tried this site: http://www.alpertron.com.ar/ECM.HTM ----- Original Message ----- From: Artur To: [email protected], "Number Theory List" Subject: [Prime] Help in Factoring Needed! Date: Thu, 20 Nov 2008 18:53:34 +0100 Dear Prime Gurus, I would like to ask about factorizing following number on prime factors: N=1966382802018295849983426140507775310581529713937897353137000391612422\ 8278817175390596880190641015445045632436171849324612595906231468275752\ 7061637282120947925875224843503921645170678491988278295011723585321614\ 64349494218512454182166238160960541165661049938151951871347 Smallest prime factor is of the form 486k+1 and k>10^6 and probably for biggest factors of N k is divisable be powers of 3 range 2-5 For any help I would like to thank on advance! Best wishes ARTUR _______________________________________________ Prime mailing list [email protected] http://hogranch.com/mailman/listinfo/prime ============================== Od: Alexander Kruppa <[email protected]> Komu: [email protected] , The Great Internet Mersenne Prime Search list <[email protected]> Předmět: Re: [Prime] Help in Factoring Needed! Datum: 20.11. 2008, 19:22 - včera v 19:22 Artur wrote: > Dear Prime Gurus, > I would like to ask about factorizing following number on prime factors: > N=1966382802018295849983426140507775310581529713937897353137000391612422\ > 8278817175390596880190641015445045632436171849324612595906231468275752\ > 7061637282120947925875224843503921645170678491988278295011723585321614\ > 64349494218512454182166238160960541165661049938151951871347 > Smallest prime factor is of the form 486k+1 and k>10^6 and probably for > biggest factors of N k is divisable be powers of 3 range 2-5 > > For any help I would like to thank on advance! > > Best wishes > ARTUR This is a cofactor of 2^729+1 which is already completely factored by the Cunningham project, http://homes.cerias.purdue.edu/~ssw/cun/index.html The relevant lines in the Main Tables, Table 2+ are 1 3 3 (1) 3* 9 (1,3) 3*.19 27 (1,3,9) 3*.87211 81 (1,3,9,27) 3*.163.135433.272010961 243 (1,3,9,27,81) 3*.1459.139483.10429407431911334611.918125051602568899753 729 (1,3,9,27,81,243) 3*.227862073.3110690934667. .216892513252489863991753.1102099161075964924744009.P78 The "729" line gives the primitive prime factors, the other ones the prime factors of algebraic factors. # Alex _______________________________________________ Prime mailing list [email protected] http://hogranch.com/mailman/listinfo/prime _______________________________________________ Prime mailing list [email protected] http://hogranch.com/mailman/listinfo/prime
