is 2 5855623 - 1
has 1762719 decimal digits
takes 1.038 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L9580D4A9E60A3B01double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual27181.644367.6056 %3300000703649310099.316611.5271 %180.960971.3398 %
Target2662.522165.1515 %4000040000000.06572.3383 %2.587865.9664 %
Difference+5+79.1222+2.4541 %+3260000+7032493100+99.2509+9.1888%+178.3731+5.3734 %

Known prime factors (2 factors, 153.9 bits, 0.00262773% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
5855623187417364804003179167292373.9891600319597112068
22 × 73 × 23 × 47 × 1079013599
2023-01-233431079013599467.2515.10728.215
585562311136392035285866828933532579.88295091436344910412
22 × 11 × 1459 × 19183 × 77217709
2023-01-23191837721770938,4321.08582.0192

1 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2000-09-29ANONYMOUSv4_computers2000020000--0.0050.453%
2011-03-01USAFSSP4_26006500010887506--0.0312.789%
2019-12-10storm5510Manual testing7200001152000012--0.3416.305%
2023-01-23Sid & AndyMagic_8_Ball33000007036493100247153.870113.616.117%


Trial Factoring results:
575859606162636465666768697071
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1998-05-16ANONYMOUSv4_computers212610.026
1998-06-01ANONYMOUSv4_computers212620.052
2009-03-21GrunwalderGIMPManual testing2622630.168
2014-10-09NesowaManual testing2632640.335
2014-10-15lycornManual testing2642650.638
2015-09-15snme2pm1Manual testing2652661.276
2016-07-17Gordon SpenceManual testing2662672.552
2018-07-05ramgeisManual testing2672685.105
2020-08-11TJAOIManual testing26826910.21
2020-12-15ANONYMOUSManual testing26927020.42
2022-03-07mikrManual testing27027140.84


ECM factoring results:
Total ECM effort:2.425 GHz-days
Estimated T-Level:1.731
DigitsB1CompleteFacMiss
20110000.34670.740%
25500000.03296.848%
302500000.00299.798%


ECM Summary

B1B2factorcurvesGHz-days
50000500000092.425


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-10-04ANONYMOUSv4_computers9580D4A9E60A3B011.038
2000-12-07ANONYMOUSv4_computers9580D4A9E60A3B011.038


PRP results:
dateuseridcompidcofactorsres64
2023-01-29jeriffee5900X_Desktop
18741736480400317916729
1113639203528586682893353
DC9D443D55F4FC3E


CERT results:
dateuseridcompid
2023-01-30Dmitriy DegtiarevCAPUS


P-1 factor-bounds graph:
B1 = 3300000, B2 = 7036493100 (P-1 stage 2)
B1 = 3300000 (P-1 stage 1)
B1 = 720000, B2 = 11520000 (P-1 stage 2)
B1 = 720000 (P-1 stage 1)
B1 = 65000, B2 = 1088750 (P-1 stage 2)
B1 = 65000 (P-1 stage 1)
B1 = 20000 (P-1 stage 1)
101
102
103
104
105
106
107
101
102
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
271
270
269
268
267
266
265
264
263
262
261
this exponent TF target: 66
TF double-checked to: 67
ECM T-Level=1.73 ~= -11-bit
250
260
270
280
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Last modified: 2024-03-13T02:15:48+00:00