is 2 5596121 - 1
has 1684601 decimal digits
takes 0.884 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LA0E72A6078043CB3double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual272170.892268.0556 %7000000601053156076.499411.2690 %247.391771.6554 %
Target2662.639065.1515 %3600035000000.05152.1897 %2.690565.9146 %
Difference+6+168.2532+2.9040 %+6964000+6007031560+76.4480+9.0793%+244.7011+5.7408 %

Known prime factors (2 factors, 210.0 bits, 0.00375203% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
5596121275447191038005423034753452652731101.120246105463979429164446903
32 × 7 × 449 × 5237 × 341839 × 4859931883
2022-09-1334183948599318833.353e+1060.704113.24
559612158443373550788224187341956996088133108.84952217753646488544643103640
23 × 32 × 5 × 13 × 17 × 2311 × 17417 × 195731 × 83308727
2022-09-13195731833087272.979e+101.08171.9411

1 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2009-06-06Carsten Kossendeymother30000397500--0.0131.801%
2011-01-06USAFSSP4_26006500010237506--0.0302.728%
2019-10-03GdSD_w7200000600000012--0.1184.811%
2022-09-13Sid & AndyPterodactyl70000006010531560264209.96885.8516.619%


Trial Factoring results:
57585960616263646566676869707172
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2016-02-23Mark RoseManual testing212620.110
2009-02-09GrunwalderGIMPManual testing2622630.175
2014-12-24NesowaManual testing2632640.351
2014-12-25monstManual testing2642650.668
2015-09-01snme2pm1Manual testing2652661.335
2016-08-02Gordon SpenceManual testing2662672.671
2018-06-08ramgeisManual testing2672685.341
2020-07-24TJAOIManual testing26826910.68
2021-08-18SRBaseManual testing26927021.37
2021-08-23SRBaseManual testing27027142.73
2021-09-18SRBaseManual testing27127285.46


ECM factoring results:
Total ECM effort:2.139 GHz-days
Estimated T-Level:1.731
DigitsB1CompleteFacMiss
20110000.34670.740%
25500000.03296.848%
302500000.00299.798%


ECM Summary

B1B2factorcurvesGHz-days
50000500000092.139


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2000-03-22ANONYMOUSv4_computersA0E72A6078043CB30.884
2000-09-15dtlgcv4_computersA0E72A6078043CB30.884


PRP results:
dateuseridcompidcofactorsres64
2022-09-19Perigbreagan
584433735507882241873419569960881
2754471910380054230347534526527
82A0B6F2AF522EF9


CERT results:
dateuseridcompid
2022-09-19PCanalytics.commeshify2


P-1 factor-bounds graph:
B1 = 7000000, B2 = 6010531560 (P-1 stage 2)
B1 = 7000000 (P-1 stage 1)
B1 = 200000, B2 = 6000000 (P-1 stage 2)
B1 = 200000 (P-1 stage 1)
B1 = 65000, B2 = 1023750 (P-1 stage 2)
B1 = 65000 (P-1 stage 1)
B1 = 30000, B2 = 397500 (P-1 stage 2)
B1 = 30000 (P-1 stage 1)
103
104
105
106
107
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
272
271
270
269
268
267
266
265
264
263
262
this exponent TF target: 66
TF double-checked to: 67
ECM T-Level=1.73 ~= -11-bit
250
260
270
280
290
2100
2110
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Last modified: 2024-03-13T02:15:48+00:00