20050514, 09:54  #12 
May 2005
Lyon
2^{3} Posts 
Hello,
Last year, I put 3 pc on this number (hp49.step100) and I ran 2279 curves @ b1=110000000 without succes. (GMPECM 5.0.3) For more detail : http://euclide.euclide.free.fr/hp49/ Cordially Alex ps: sorry for my so bad english :) 
20050514, 23:37  #13 
Aug 2002
43·199 Posts 
Welcome aboard! That is a lot of work!

20050515, 11:19  #14 
May 2005
Lyon
2^{3} Posts 
Thank you :)
yes, much of work, without result :( Which is the percentage that hp300.step100 breaks up into two prime numbers with one of 5560 digits? and 6065 digits? Last fiddled with by [Leo_01] on 20050515 at 11:20 
20050515, 20:26  #15 
Aug 2004
New Zealand
2·5·23 Posts 
more curves
I've done 100 with B1=110e6 and will run more shortly.

20050515, 20:29  #16 
Aug 2004
New Zealand
2·5·23 Posts 
P1
Alex,
Did you keep your intermediate output from your P1 effort on HP49. If you did I could consider pushing the B2 out to 10^15 (or do you not think that is worthwhile?) Sean. 
20050515, 22:05  #17 
"Nancy"
Aug 2002
Alexandria
2,467 Posts 
Yes, I did. I'm attaching it.
I don't really expect P1 will find a factor of HP49(100), the time is probably better spent on ECM. Apparantly the prime factors are pretty large, so the better asymptotic complexity of ECM wins by a huge margin. But if you would like to take a shot at it anyways, be my guest! Alex 
20050517, 02:25  #18 
Aug 2004
New Zealand
2·5·23 Posts 
home primes, other bases
For a while now I have been trying the home prime thing in other small
bases. I use the notation HP[b]n to denote the number of steps to reach the home prime of n in base b. Clearly, HP[b]p=0 for all bases and primes. But in general, for given n, HP[b]n is different for different b. Just like HP49 in the usual decimal base I have found a number of other recalcitrant cases. The following is a list of first holes. All are given here in decimal and only the cofactor still to be factored. If you reserve one I'll send the complete trace for the case in interest. A few smaller numbers here which people might like to try with ECM, MPQS, or GNFS. HP[2]2295 C92 [reserved Irvine] 42593287458358329946084086287073769962120877480092209301263419877966255456101619015115512917 HP[3]64 C137 ecm: [1100@1m][2900@3m][4596@11m] 82655669480551613343580167268477674187351292015117516792944846258008192641612233487099097033209245860710672147412029269159349509639794377 HP[4]66 C114 ecm: [200@250k][2100@1m][2145@3m][1001@11m] 719987348459503015467765102180195287603560808328599685970476462949641504211664952574540740605186353816178317982371 HP[5]21 C125 ecm: [300@250k][1100@1m][2480@3m] 13178488642345386350608829717825621745056764154681613088222022837235795149347293112953213229355932902966772113052923300804587 HP[6]96 C104 ecm: [100@250k][1036@1m] 89766675124873790501352404541149614109540609748271196339218551656401281081928576174053914349607659683071 HP[7]18 C98 ecm: [200@250k][1100@1m][1308@3m] 18544076553116191884123396215530181106075654731696480608775162559674201773848398165459680411817707 HP[8]25 C109 ecm: [100@250k][1100@1m][1229@3m] 5856711191383927187835255094805934789697489673546616834487627675163893104566329958425367249236281881961657743 HP[9]16 C98 ecm: [100@250k][1100@1m] 11458684517279075940009076614278392128600911605811187516921997740429440460654210572105040919082341 HP[10]49 C204 ecm: [9650@43m][2380@110m] P1:10^11/10^14 346369145517616832561580518436338147877062893457679622195929206654524672587613049343558394373396338194585783775269785675210636696425094776859733305947996048061499249566197147212934512427988113420226762897 
20050518, 06:42  #19 
Apr 2005
13_{10} Posts 
HP[9]16 C98 ecm: [100@250k][1100@1m]
HP[9]16 C98 ecm: [100@250k][1100@1m]
11458684517279075940009076614278392128600911605811187516921997740429440460654210572105040919082341 Using msieve: Wed May 18 03:57:04 2005 prp40 factor: 1015179412517682216362280776093953604617 Wed May 18 03:57:04 2005 prp59 factor: 11287349187727435902385447478479973049163419264606885870973 Wed May 18 03:57:04 2005 elapsed time 19:15:25 Reserving HP[7]18 C98 :) 
20050518, 12:42  #20 
"Mark"
Apr 2003
Between here and the
1B39_{16} Posts 
You might also want to consider http://www.angelfire.com/falcon2/hom...oendprime.html, which searches for home primes up to 1000 (base 2).

20050519, 09:50  #21  
Apr 2005
13 Posts 
HP[7]18
Quote:
Thu May 19 11:42:28 2005 prp56 factor: 49982249527963300183930285965173016012402231268326135649 Thu May 19 11:42:29 2005 elapsed time 26:59:45 

20050528, 09:43  #22  
May 2005
Lyon
2^{3} Posts 
Quote:
hp146 : 500 @ b1=43000000 hp300 : 2440 @ b1 = 3000000 4590 @ b1 = 11000000 2361 @ b1 = 43000000 p+1 : 10^9 All without success :( I give up! If somebody has the desire and the means of continuing... Alex 

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