is 2 5103727 - 1
has 1536375 decimal digits
takes 0.707 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L3EDA90181EA63451double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual27193.672467.6056 %400000010301320260113.562512.0336 %207.234971.5038 %
Target2651.429564.6154 %3400035000000.04482.4244 %1.474365.4732 %
Difference+6+92.2429+2.9902 %+3966000+10297820260+113.5177+9.6092%+205.7606+6.0306 %

Known prime factors (1 factor, 92.2 bits, 0.00180699% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
510372757830117215007963390059769832892.224566547909155485426533
3 × 7 × 13 × 373 × 965647 × 5761648591
2022-06-239656475761648591333,187,31463.275117.84

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2009-08-23Carsten Kossendeymother25000325000--0.0081.837%
2009-08-29USAFSSP4_2600550009212506--0.0212.868%
2013-05-10Squeeky_SquirrelT7500_22009000016425006--0.0353.582%
2020-05-13KingPleaseFactor10000002250000012--0.4367.871%
2022-06-23Sid & AndyMagic_8_Ball40000001030132026022892.224135.317.756%


Trial Factoring results:
575859606162636465666768697071
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1998-05-16ANONYMOUSv4_computers212610.030
2008-12-29Sturle Sundedanzi.ifi2612620.060
2009-07-27GrunwalderGIMPManual testing212630.313
2016-02-23Mark RoseManual testing2622630.192
2014-12-14VictordeHollanderManual testing2632651.117
2015-08-04snme2pm1Manual testing2652661.464
2016-05-14Gordon SpenceManual testing2662672.928
2018-06-20ramgeisManual testing2672685.857
2020-12-14TJAOIManual testing26826911.71
2020-12-15ANONYMOUSManual testing26927023.43
2022-01-08mikrManual testing27027146.85


ECM factoring results:
Total ECM effort:11.569 GHz-days
Estimated T-Level:20.905
DigitsB1CompleteFacMiss
20110001.86815.445%
25500000.18183.446%
302500000.01298.795%


ECM Summary

B1B2factorcurvesGHz-days
50000500000091.660
600007440000359.91


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-07-21ANONYMOUSv4_computers3EDA90181EA634510.707
2015-11-13MadPooManual testing3EDA90181EA634510.707


PRP results:
dateuseridcompidcofactorsres64
2022-06-29Oliver KruseServer-Phi
5783011721500796339005976983
E5A9365CFCE1B188


CERT results:
dateuseridcompid
2022-06-30carldsstlouis20


P-1 factor-bounds graph:
B1 = 4000000, B2 = 10301320260 (P-1 stage 2)
B1 = 4000000 (P-1 stage 1)
B1 = 1000000, B2 = 22500000 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 90000, B2 = 1642500 (P-1 stage 2)
B1 = 55000, B2 = 921250 (P-1 stage 2)
B1 = 90000 (P-1 stage 1)
B1 = 55000 (P-1 stage 1)
B1 = 25000, B2 = 325000 (P-1 stage 2)
B1 = 25000 (P-1 stage 1)
103
104
105
106
107
103
104
105
106
107
108
109
1010
1011
TF factor-bounds graph:
271
270
269
268
267
266
265
263
262
261
this exponent TF target: 65
TF double-checked to: 67
ECM T-Level=20.9 ~= 53-bit
250
260
270
280
290
2100
JSON version of this page
Last modified: 2024-03-13T02:15:48+00:00