is 2 8932813 - 1
has 2689045 decimal digits
takes 2.469 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LF7E8E37729EDFD3Bdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual273214.136867.1233 %2500000177233628039.64588.6624 %253.782669.9712 %
Target2686.672664.7059 %5500060000000.15182.3068 %6.824465.5200 %
Difference+5+207.4643+2.4174 %+2445000+1766336280+39.4939+6.3556%+246.9582+4.4511 %

Known prime factors (1 factor, 102.1 bits, 0.00114352% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
8932813561927034341783263409758400979131102.148314529720000733958837915
5 × 73 × 701 × 259991 × 652207 × 7249483
2022-09-3065220772494831.657e+100.40540.5320

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2003-02-27Team Prime Ribv4_computers45000461250--0.0271.712%
2012-07-17James Heinrichi7-92017000036125006--0.1433.650%
2022-09-30Cong ShengzhuoThis_Laptop_v308b1525000001772336280231102.14841.8412.544%


Trial Factoring results:
5758596061626364656667686970717273
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1999-01-29ANONYMOUSv4_computers212610.017
1999-02-07ANONYMOUSv4_computers212620.034
1999-07-27ANONYMOUSv4_computers212630.110
2003-02-27Team Prime Ribv4_computers212640.220
2014-01-10lycornManual testing2642650.418
2015-05-17VictordeHollanderManual testing2652660.837
2016-03-12snme2pm1Manual testing2662671.673
2018-04-06BloodERazorManual testing2672683.346
2020-03-03chuenkitManual testing2682696.692
2021-08-20SRBaseManual testing26927013.38
2021-08-27SRBaseManual testing27027126.77
2021-09-21Jon PaceManual testing27127253.54
2021-12-10ANONYMOUSManual testing272273107.1


ECM factoring results:
Total ECM effort:1.191 GHz-days
Estimated T-Level:0.577
DigitsB1CompleteFacMiss
20110000.11589.102%
25500000.01198.938%


ECM Summary

B1B2factorcurvesGHz-days
50000500000031.191


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2000-03-22ANONYMOUSv4_computersF7E8E37729EDFD3B2.469
2003-03-07Team Prime Ribv4_computersF7E8E37729EDFD3B2.469


PRP results:
dateuseridcompidcofactorsres64
2022-10-06Oliver KruseServer-Phi
5619270343417832634097584009791
9BDDA3838C92D4E2


CERT results:
dateuseridcompid
2022-10-06AndreAndre


P-1 factor-bounds graph:
B1 = 2500000, B2 = 1772336280 (P-1 stage 2)
B1 = 2500000 (P-1 stage 1)
B1 = 170000, B2 = 3612500 (P-1 stage 2)
B1 = 170000 (P-1 stage 1)
B1 = 45000, B2 = 461250 (P-1 stage 2)
B1 = 45000 (P-1 stage 1)
103
104
105
106
107
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
273
272
271
270
269
268
267
266
265
264
263
262
261
this exponent TF target: 68
TF double-checked to: 67
ECM T-Level=0.58 ~= -15-bit
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290
2100
2110
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Last modified: 2024-03-13T02:15:48+00:00