20160928, 20:41  #23  
Sep 2003
3^{2}×7×41 Posts 
Quote:
Quote:
You can obtain PRP assignments from mersenne.ca at this page at mersenne.ca by clicking on a link in the rightmost "Assignments" column. Those pages don't really give any instructions, which is unfortunate. 

20160928, 20:43  #24 
Sep 2003
3^{2}·7·41 Posts 
I think GMPECM can only be used on rather small exponents. What is the limit in practice for the largest exponents that you would attempt with GMPECM?

20160928, 22:06  #25 
Sep 2002
Oeiras, Portugal
2^{3}×181 Posts 
Sometime ago I ran a couple of curves on different exponents and B1/B2 bounds and came to the conclusion that using Prime95 for Stage 1 and GMPECM for Stage 2 pays for exponents up to ~40K, but the smaller the exponent the more significant the gains are.
I´m still using that combo for very small exponents (1277, for one). May be Santa will drop something down my chimney, who knows?... 
20161007, 10:06  #26  
Noodles
"Mr. Tuch"
Dec 2007
Chennai, India
10011101001_{2} Posts 
Quote:
Fingers crossed up  keep up stay away...! Quote:
Good enough in to the have got been Mersenne prime number exponents per 1000000 statistics  of the following form  where ever as like! Good enough in to the have got been age per days statistics! 

20161013, 11:00  #27 
Noodles
"Mr. Tuch"
Dec 2007
Chennai, India
3·419 Posts 
78. 2^{1408087}1 has a factor: 2138342186768010337729.

20161013, 12:59  #28 
Noodles
"Mr. Tuch"
Dec 2007
Chennai, India
10011101001_{2} Posts 
Interesting to ask up with:
always If I run away 5 ECM curves for each Mersenne number with no known prime factors exponents between 600000 and 700000 with B1 = 250000 and B2 = 128992510 and if TJOAI runs away 25 ECM curves for each Mersenne number with no known prime factors exponents between 600000 and 700000 with B1 = 50000 and B2 = 5000000 then what will be the chance that he would find out the same prime factor before wards of me doing it extracting up? For the factors of any size  at all  small or medium or large  any way some how every day Last fiddled with by Raman on 20161013 at 13:19 
20161017, 16:08  #29  
Noodles
"Mr. Tuch"
Dec 2007
Chennai, India
10011101001_{2} Posts 
Suppose that if I run a lot of ECM curves stage 1 only up on say (2^{524287}+1)/3 with B1 = 11000000 and store away their own same hexadecimal residues in to a text editor file case. With GMPECM or Prime95 will I be able to continue away with stage 1 only with those same their own stored away hexadecimal residues with B1 = 44000000 with those in to a text editor file case?
Quote:
Quote:
CPU Name: Karpov Michael Raj K. Exponent: 135062611 Result Type: NF Received: 20160923 06:51 Age Days: 1.7 Result: no factor from 2^{70} to 2^{71} GHzDays: 1.7705 Quote:
at Mersenne.org ECM progress web site page not in its own synchronization with at Mersenne.org Exponent status web site page. Quote:
p ≤ 10000. 1277, 1619, 1753, 2137, 2267, 2273, 2357, 2377, 2423, 2477, 2521, 2557, 2671, 2713, 2719, 2851, 3049, 3673, 3691, 3847, 3881, 3919, 4007, 4049, 4111, 4159, 4261, 4363, 4567, 4583, 4591, 4703, 4721, 5443, 5471, 5503, 5839, 6007, 6073, 6247, 6581, 6679, 6733, 6763, 6971, 7069, 7127, 7321, 7351, 7621, 8291, 8329, 8369, 8389, 8581, 8681, 8923, 8999, 9011, 9227, 9463, 9473, 9551, 9679, 9857, 9929. Much more larger prime factors are only being known recently, after wards when ever the Prime Net web site page server and client went automated after wards when ever. Code:
1061: 46817226351072265620777670675006972301618979214252832875068976303839400413682313921168154465151768472420980044715745858522803980473207943564433. 1237: 2538207129840687799335203259492870476186248896616401346500027311795983. 1657: 10788426156438350117334292343137689257142387557947087583. 1669: 112493750443412941745410571996247741731544451845539488817. 2269: 5198395892876421104415109549087087419559080537214372111. 3607: 162160065980366340636967897279169391509046358190713. 4937: 224209400033890009931837488284049711636925260561. 5309: 4379627179880971499877583266262615461322386849281. 5879: 3381116440321017148580653633902983992991015840485797617951. 5923: 39615112643045557727531880705107806493554991. 6211: 1110196860540711188306812523817624319633363099818286801. 6329: 26367627467345446174566335936121340946860202281. 9209: 1821133994357721169773431211508950567060217. 9587: 6842693325161318357698161937504324710196297. Quote:
Open end aliquot sequences and series below 1000. Starting element ≤ 1000. All members. Of side sequences and series. 276, 306, 396, 696 552, 888 564, 780 660, 828, 996 966 Quote:
Open end aliquot sequences and series below 10000. Starting element ≤ 10000. Lowest members. Of side sequences and series. 276, 552, 564, 660, 966, 1074, 1134, 1464, 1476, 1488, 1512, 1560, 1578, 1632, 1734, 1920, 1992, 2232, 2340, 2360, 2484, 2514, 2664, 2712, 2982, 3270, 3366, 3408, 3432, 3564, 3678, 3774, 3876, 3906, 4116, 4224, 4290, 4350, 4380, 4788, 4800, 4842, 5148, 5208, 5250, 5352, 5400, 5448, 5736, 5748, 5778, 6396, 6552, 6680, 6822, 6832, 6984, 7044, 7392, 7560, 7890, 7920, 8040, 8154, 8184, 8288, 8352, 8760, 8844, 8904, 9120, 9282, 9336, 9378, 9436, 9462, 9480, 9588, 9684, 9708, 9852. Any patterns are being found out as like them? Any progress in computations will be able to reduce these numbers down as like them they are being. As like them, they are not being suitable enough for OEIS entries. As like them, they are being applicable enough for Tshirt or formal shirt design patterns. Code:
import java.lang.*; import java.io.*; // import java.util.*; public class Results { public static void main(String args[]) { try { RandomAccessFile file=new RandomAccessFile("results20161017.txt","rw"); RandomAccessFile W8191=new RandomAccessFile("W8191.txt","rw"); RandomAccessFile W19937=new RandomAccessFile("W19937.txt","rw"); RandomAccessFile W110503=new RandomAccessFile("W110503.txt","rw"); RandomAccessFile W524287=new RandomAccessFile("W524287.txt","rw"); // List l=new ArrayList<Integer>(); while(true) { String s=file.readLine(); if(s==null) { break; } else { String t=s.trim(); int i=t.length(); // if(!l.contains(i)) // { // l.add(i); // } if(i>=262176&&i<=262179) { W524287.writeBytes(t+"\n"); } else if(i>=55284&&i<=55287) { W110503.writeBytes(t+"\n"); } else if(i>=10001&&i<=10003) { W19937.writeBytes(t+"\n"); } else if(i>=4129&&i<=4131) { W8191.writeBytes(t+"\n"); } } } // System.out.println(l); } catch(IOException e) { System.out.println(e.toString()); } } } For reading out results from results.txt text editor file case and then sorting them away in to the W8191.txt, W19937.txt, W110503.txt, W524287.txt text editor file case. Quote:
my own JAVA package distribution programming language scripting? Quote:
Trivial zeros or nontrivial zeros. Give away us with any productive information or hint or clue. Quote:
As like turning out in to the. Last fiddled with by Raman on 20161017 at 17:05 

20161020, 12:36  #30 
Noodles
"Mr. Tuch"
Dec 2007
Chennai, India
2351_{8} Posts 
Interestingly enough.
An ECM curve stage 1 up on (2^{8191}+1)/3 with B1 = 3×10^{9} will take up to 19 hours and ECM curves stage 1 up on other three numbers (2^{19937}+1)/3 with B1 = 3×10^{8} (2^{110503}+1)/3 with B1 = 5×10^{7} (2^{524287}+1)/3 with B1 = 1.1×10^{7} will take much shorter time. On a 4 core Core i5 processor. A few days ago my computer had restarted just after finishing off with an ECM curve stage 1 up on (2^{8191}+1)/3 with B1 = 3×10^{9}. Its hexadecimal residue had been just written out to worktodo.ini file. When the computer restarted, the same hexadecimal residue had been again written out to worktodo.ini file. I wondered why. Because the back up file from which Prime95 for Windows or mprime for Linux restarts had been written out just before the same ECM curve had been got finished off with! Luckily enough, the computer did not restart before the ECM curve had been got finished off with! Luckily enough, the trivial prime factor of 3 had been written out to the old σ value which had been just got off finished before itself with! No significant computational efforts wasted out due to this restarting of computer off at all! In fact it is the case that my above mentioned statement that the same hexadecimal residue had been again written out to worktodo.ini file is false! In fact that it was the case the old σ value along with the trivial prime factor of 3 had been written out to the worktodo.ini file! If the computer goes down again, and if I have to reinstall with Ubuntu, then it will be better off to back up files in to local git hub server and client repository. In to the year of 2010, age me 22 years old, I had received up with a Ubuntu CD for free from the Netherlands and the Holland! It is an obsolete version of Ubuntu operating system off right now! By using superscript and subscript tags of powers, it is better off rather than instead of by using ^ symbol at all right now! And ⊕ this is the proper symbol for the XOR operation at all right now! Any one who downloaded up with my previously attached files running away with Stage 2 of ECM curves off up on their own computers? Any way that it is the case the I have attached up with the hexadecimal residue file cases for ECM curves of stage 1 off for (2^{8191}+1)/3 and (2^{19937}+1)/3 because they are comparatively smaller enough! On the other hand, those for (2^{110503}+1)/3 and (2^{524287}+1)/3 but they are comparatively larger enough! Rather than instead of... And last but not the least, why do we increment up with group order ECM curves bounds by using equal to 5 digits, why not by using greater than 5 digits or by using lesser than 5 digits? Equal to symbol  and cord or wire. No log in ID is required in to the downloading up with attachments at all right now! Isn't it? Copy and paste is a useful feature, whether cut and paste or copy and paste  common key is Control + V. Or once in the year of 1997, age me 9 years old, or computer just bought and purchased newly and freshly away. Control + V was used up with After Dark Screen Saver, my parents were learning Visual Basic 5.0, Control or Control + Shift was needed up with After Dark Screen Saver, they have been got frustrated up with. Opened up with Dfields and Cfields rather than instead of later on changed up with Control + W. Not to touch up with Visual Basic 5.0 then? Why? Good learning opportunities then! Opportunities can be grabbed up with only during development phases! Have been got refuted up with! Not Not Not. Visual Basic 6.0 will be taught up with at plus one. Super Computer bought and purchased up with or  year of 1995 off for  for age me 7 years old  ideal time in to the learning of type writing off for  for. Raman computer bought and purchased up with or  year of 1997 off for  for age me 9 years old of off for  for. Venkatesh + Lakshmi computer bought and purchased up with or  year of 2000 off for  for age me 12 years old of off for  for. Aswini computer bought and purchased up with or  year of 2000 off for  for age me 12 years old of off for  for. Arvind + Aroona computer bought and purchased up with or  year of 2002 off for  for age me 14 years old of off for  for. Computer configuration asked up with  electronic configuration! And up with or  year of 2002 off for  for age me 14 years old of off for  for. Last fiddled with by Raman on 20161020 at 13:21 
20200714, 19:38  #31  
Nov 2016
2803_{10} Posts 
Quote:
See https://www.mersenneforum.org/showthread.php?t=25703 Last fiddled with by Uncwilly on 20200714 at 20:08 Reason: Trimmed most of giant necroquote. 

20200714, 19:43  #32 
Nov 2016
2,803 Posts 
Conjectures:
* The largest double Mersenne prime is 2^1271 * The largest Wagstaff Mersenne prime is (2^127+1)/3 * The largest Mersenne Wagstaff prime is 2^31 * The largest double Wagstaff prime is (2^43+1)/3 * The largest Mersenne Fermat prime is 2^171 * The largest Wagstaff Fermat prime is (2^17+1)/3 Also, * Phi_{Phi_n(2)}(2) is prime only for n = 2, 3, 4, 5, 6, 7, 8, 12 * Phi_{2*Phi_n(2)}(2) is prime only for n = 2, 3, 4, 5, 6, 7, 8, 10, 12, 14 Where Phi is the cyclotomic polynomial 
20200714, 19:49  #33 
Sep 2002
Database er0rr
37·97 Posts 
What supporting evidence do you have to this conjecture?
Why do you believe MM127 is not prime? In the sea of infinity what is there to stop a bigger double Mersenne prime existing? Last fiddled with by paulunderwood on 20200714 at 19:52 
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