is 2 9141029 - 1
has 2751724 decimal digits
takes 2.526 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 L-L tests remaining
ResidueStatus
L-L41B3F89199B34BF7double-checked
PRP6A0EB5BD795B41__

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual27152.300366.1972%40000003320000008.76488.5817%61.065169.0980%2.9009%
PrimeNet2640.389462.5000%4000010000000.03703.4055%0.426463.7771%1.2771%
GPU722686.520664.7059%6000013000000.05112.4058%6.571765.5550%0.8491%
Difference+3+45.7797+1.4913%+3940000+330700000+8.7137+6.1759%+54.4934+3.5431%+3.5431%

Known prime factors (3 factors, 245.7 bits, 0.00268770% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
9141029375621005101305789773212374.9922054588192977540
22 × 5 × 11 × 1416113 × 6594839
2021-09-2614161136594839438.470.68061.1550
91410293467226046168230426577132478.19818965184587907064
23 × 13 × 59 × 1634051 × 1891499
2021-09-261634051189149912,0080.66051.3328
914102969723405682341311702811641532892.494381376132174732799244
22 × 3 × 7 × 102079 × 388897 × 114367657
2021-09-26388897114367657171,565,6802.64464.6640

4 Composite Factors:
exponentprime factorscomposite factordigitsbits*
91410291302362932375137184831797141871590172139272687347153.190
914102926189575721487138933155874574189730135312806517411
3
51167.485
914102924174680820936779647814370361144371945539487445620
89
52170.692
914102990805179079635333458558529873927662467378423913017
841891392559441607383569
74245.684
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2009-06-26T05:50:00Carsten Kossendeyleela50000762500---0.036--1.362%
2012-08-16T21:18:00NesowaOutback1100002007500---0.086--2.106%
2021-09-26T15:24:38ThaZ-170200000014600000074245.6843.9465.0537.8917.179%
2021-09-26T20:36:43ThaZ-170400000033200000074245.6848.7655.05317.538.582%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-12-06T00:00:00ANONYMOUSv4_computers?255--0.001--
1999-01-02T00:00:00ANONYMOUSv4_computers?261--0.017--
1999-01-17T00:00:00pyropunkv4_computers?263--0.107--
2000-03-08T00:00:00pyropunkv4_computers?263--0.107--
1999-12-15T00:00:00ANONYMOUSv4_computers?264--0.215--
2012-10-02T23:20:00dbaughManual testing264265--0.409--
2012-10-02T23:22:00dbaughManual testing265266--0.817--
2014-03-30T20:57:00ramgeisManual testing266267--1.635--
2014-03-30T20:57:00ramgeisManual testing267268--3.270--
2014-03-30T20:57:00ramgeisManual testing268269--6.540--
2014-03-30T20:57:00ramgeisManual testing269270--13.08--
2016-01-22T18:19:10ramgeisManual testing270271--26.16--


ECM factoring results:

Old Calculation Method

Total ECM effort:1.261 GHz-days
Estimated T-Level:0.150
DigitsB1CurvesCompleteFacMiss
20110003 / 1000.03097.030%
25500003 / 2800.01198.932%

New Calculation Method

Total ECM effort:1.261 GHz-days
Estimated T-Level:0.150
DigitsB1CompleteFacMiss
20110000.09790.776%
25500000.00999.129%


ECM Summary

B1B2factorcurvesGHz-days
50000500000031.261


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2001-08-26T00:00:00ANONYMOUSv4_computers41B3F89199B34BF72.526
2003-03-16T00:00:00ANONYMOUSv4_computers41B3F89199B34BF72.526


PRP results:
dateuseridcompidcofactorsres64PRP
2021-10-01T23:40:33ATHec2-PRPCF
37562100510130578977321
346722604616823042657713
6972340568234131170281164153
6A0EB5BD795B41__no


P-1 factor-bounds graph:
B1 = 4000000, B2 = 332000000 (P-1 stage 2)
B1 = 2000000, B2 = 146000000 (P-1 stage 2)
B1 = 4000000 (P-1 stage 1)
B1 = 2000000 (P-1 stage 1)
B1 = 110000, B2 = 2007500 (P-1 stage 2)
B1 = 110000 (P-1 stage 1)
B1 = 50000, B2 = 762500 (P-1 stage 2)
B1 = 50000 (P-1 stage 1)
103
104
105
106
107
103
104
105
106
107
108
109
TF factor-bounds graph:
271
270
269
268
267
266
265
264
263
261
255
250
260
270
280
290
2100
Last modified: 2021-10-01T23:40:33+00:00