is 2 2319437 - 1
has 698221 decimal digits
takes 0.157 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L016EB4D7527ED1F4double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26825.698067.6471 %60000001800000001.51648.9654 %27.214370.5476 %
Target2620.264964.5161 %1300010000000.00651.7819 %0.271465.1484 %
Difference+6+25.4331+3.1309 %+5987000+179000000+1.5098+7.1835%+26.9429+5.3992 %

Known prime factors (1 factor, 72.1 bits, 0.00310652% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
231943749019997945616379089692272.0541056721910222532
22 × 3 × 37 × 2380004302303
2020-11-26372380004302303412.3112,70223,723

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2003-09-14ANONYMOUSv4_computers2048204800--0.0010.790%
2010-02-22Budannan5000001000000012--0.1027.756%
2018-01-22Sid & AndyHand_In_The_Box600000018000000012--1.55713.799%


Trial Factoring results:
575859606162636465666768
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1998-05-01ANONYMOUSv4_computers212580.017
2016-02-23Mark RoseManual testing2582600.050
2009-01-14Sturle Sundegiasha.ifi2602610.066
2012-05-24Sebastian HornbostelManual testing2612620.132
2013-12-06Jerry HallettManual testing2622630.423
2015-03-03VictordeHollanderManual testing2632640.846
2015-03-03VictordeHollanderManual testing2642651.611
2015-10-23ramgeisManual testing2652663.222
2017-06-03Gordon SpenceManual testing2662676.444
2019-04-15TJAOIManual testing26726812.89


ECM factoring results:
Total ECM effort:9.912 GHz-days
Estimated T-Level:22.011
DigitsB1CompleteFacMiss
20110004.3461.296%
25500000.40266.889%
302500000.02597.495%
3510000000.00199.882%


ECM Summary

B1B2factorcurvesGHz-days
5000050000001089.469
50000500000050.443


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-05-01ANONYMOUSv4_computers016EB4D7527ED1F40.157
1999-03-26ANONYMOUSv4_computers016EB4D7527ED1F40.157
2018-05-04kkmrkkblmbrbkold016EB4D7527ED1F40.157


PRP results:
dateuseridcompidcofactorsres64
2020-11-29fre_gamesgpu
4901999794561637908969
35A60F8AB87A16A2
2020-11-29kutenssol
4901999794561637908969
35A60F8AB87A16A2


CERT results:
dateuseridcompid
2020-11-29Ben Deloi-006ad04d6b0dcf274


P-1 factor-bounds graph:
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)
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TF factor-bounds graph:
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this exponent TF target: 62
TF double-checked to: 67
ECM T-Level=22.01 ~= 57-bit
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Last modified: 2024-02-29T14:28:04+00:00