is 2 3109651 - 1
has 936099 decimal digits
takes 0.265 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L600DB7367DE644CAdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual27076.841668.5714 %890000022840692420154.614314.1943 %231.455973.0325 %
Target2641.144665.6250 %1400012000000.00971.5080 %1.154366.1434 %
Difference+6+75.6970+2.9464 %+8886000+22839492420+154.6046+12.6862%+230.3016+6.8891 %

Known prime factors:
No known factors for M3109651

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2004-02-07ANONYMOUSv4_computers2048204800--0.0020.574%
2009-07-03Carsten Kossendeymother15000180000--0.0031.414%
2011-08-23Squeeky_SquirrelT7500_220010000021250006--0.0264.023%
2016-08-30JossManual testing10000042500006--0.0404.639%
2016-12-27JossManual testing120000120000---1.638%
2017-01-29JossManual testing156000156000---1.859%
2017-02-04JossManual testing187200187200---2.023%
2017-02-15JossManual testing22464022464006---4.520%
2017-03-11JossManual testing26956826956806--0.0504.801%
2018-08-29mikrMSI300000010000000012--1.02210.990%
2023-02-25Sid & AndyBarrel_Of_Monkeys890000022840692420--190.820.289%


Trial Factoring results:
5758596061626364656667686970
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1999-05-09ANONYMOUSv4_computers212600.025
2009-02-13Sturle Sundegollumilla.ifi2602610.049
2011-11-20markroldgamer2612620.099
2013-01-03dbaughManual testing2622630.316
2015-02-07VictordeHollanderManual testing2632651.833
2015-06-11ThaManual testing2652662.403
2017-04-11Gordon SpenceManual testing2662674.806
2019-01-28TJAOIManual testing2672689.61
2021-02-01TJAOIManual testing26826919.22
2022-07-03mikrManual testing26927038.45


ECM factoring results:
Total ECM effort:16.435 GHz-days
Estimated T-Level:22.073
DigitsB1CompleteFacMiss
20110004.4651.150%
25500000.41566.060%
302500000.02697.413%
3510000000.00199.877%


ECM Summary

B1B2factorcurvesGHz-days
50000500000010712.40
500003891478574.039


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-05-30ANONYMOUSv4_computers600DB7367DE644CA0.265
1999-09-22ANONYMOUSv4_computers600DB7367DE644CA0.265


PRP results:
No PRP results for M3109651


CERT results:
No CERT results for M3109651


P-1 factor-bounds graph:
B1 = 8900000, B2 = 22840692420 (P-1 stage 2)
B1 = 8900000 (P-1 stage 1)
B1 = 3000000, B2 = 100000000 (P-1 stage 2)
B1 = 3000000 (P-1 stage 1)
B1 = 269568, B2 = 2695680 (P-1 stage 2)
B1 = 224640, B2 = 2246400 (P-1 stage 2)
B1 = 100000, B2 = 4250000 (P-1 stage 2)
B1 = 269568 (P-1 stage 1)
B1 = 224640 (P-1 stage 1)
B1 = 100000, B2 = 2125000 (P-1 stage 2)
B1 = 187200 (P-1 stage 1)
B1 = 156000 (P-1 stage 1)
B1 = 120000 (P-1 stage 1)
B1 = 100000 (P-1 stage 1)
B1 = 15000, B2 = 180000 (P-1 stage 2)
B1 = 15000 (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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267
266
265
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262
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260
this exponent TF target: 64
TF double-checked to: 67
ECM T-Level=22.07 ~= 57-bit
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Last modified: 2024-03-13T02:15:48+00:00