is 2 2307913 - 1
has 694752 decimal digits
takes 0.156 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LAEF33CF45BE02CF2double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26951.729368.1159 %304024573416374962001,826.097219.6164 %1,877.826574.3705 %
Target2620.266264.5161 %1200010000000.00641.7387 %0.272665.1331 %
Difference+7+51.4631+3.5998 %+30390457+341636496200+1,826.0907+17.8778%+1,877.5539+9.2374 %

Known prime factors (1 factor, 99.8 bits, 0.00432546% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
230791311250257972929336793189355441773199.828243732280483045435273976
23 × 7 × 63473 × 1858867 × 36888218531
2022-02-081858867368882185315.849e+10197.04367.70

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2003-09-14ANONYMOUSv4_computers2048204800--0.0010.789%
2010-02-16Budannan5000001000000012--0.1027.751%
2017-12-16Sid & AndyHand_In_The_Box600000018000000012--1.55713.793%
2022-01-30LaurVZero8183040245730402457--2.97810.557%
2022-02-08LaurVZero8183040245734163749620023199.8282,08827.902%


Trial Factoring results:
57585960616263646566676869
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1999-02-21ANONYMOUSv4_computers212580.017
2016-02-23Mark RoseManual testing2582600.050
2009-01-14Sturle Sundegigi.ifi2602610.067
2012-05-13Sebastian HornbostelManual testing2612620.133
2013-01-23dbaughManual testing2622630.425
2015-03-03VictordeHollanderManual testing2632652.470
2015-10-22ramgeisManual testing2652663.238
2017-05-30Gordon SpenceManual testing2662676.476
2019-04-29TJAOIManual testing26726812.95
2021-07-26TJAOIManual testing26826925.90


ECM factoring results:
Total ECM effort:15.199 GHz-days
Estimated T-Level:23.034
DigitsB1CompleteFacMiss
20110006.5490.143%
25500000.60754.512%
302500000.03896.244%
3510000000.00299.821%


ECM Summary

B1B2factorcurvesGHz-days
50000500000015613.89
50000520000070.630
50000620000070.681


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-05-30ANONYMOUSv4_computersAEF33CF45BE02CF20.156
2004-04-29ANONYMOUSv4_computersAEF33CF45BE02CF20.156


PRP results:
dateuseridcompidcofactorsres64
2022-02-11LaurVtrabi
1125025797292933679318935544177
17C057BEF0028452


CERT results:
dateuseridcompid
2022-02-11curtiscjckl3e13429l


P-1 factor-bounds graph:
B1 = 30402457, B2 = 341637496200 (P-1 stage 2)
B1 = 30402457 (P-1 stage 1)
B1 = 6000000, B2 = 180000000 (P-1 stage 2)
B1 = 6000000 (P-1 stage 1)
B1 = 500000, B2 = 10000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
102
103
104
105
106
107
108
102
103
104
105
106
107
108
109
1010
1011
1012
TF factor-bounds graph:
269
268
267
266
265
263
262
261
260
258
this exponent TF target: 62
TF double-checked to: 67
ECM T-Level=23.03 ~= 60-bit
250
260
270
280
290
2100
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Last modified: 2024-03-13T02:15:48+00:00