is 2 7074469 - 1
has 2129628 decimal digits
takes 1.543 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L4AA501FB53405727double-checked
PRPC93209BB92F814D5PRP-tested

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual272135.181068.0556%1000000307759452053.31488.7363%188.495870.8463%2.7908%
PrimeNet2630.225663.4921%300008000000.02273.3192%0.248464.7038%1.2118%
GPU722674.200265.6716%4500010000000.03072.3038%4.230866.4625%0.7909%
Difference+5+130.9808+2.3839%+955000+3076594520+53.2841+6.4325%+184.2649+4.3838%+1.9999%

Known prime factors (1 factor, 131.4 bits, 0.00185806% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
7074469371390590720268900246067724314340773756140131.448262486548969448378561039510042620
22 × 3 × 5 × 19 × 11131 × 85061 × 170389 × 699767 × 2039588351
2022-01-0669976720395883512.698e+1035.34465.622

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-11-04T00:00:00ANONYMOUSv4_computers35000560000---0.020--0.933%
2012-01-05T23:44:00bcp19Manual testing850001530000---0.052--1.576%
2018-06-13T04:27:12Squeeky_Squirreli5-5250U_16004150001255375012---0.340--3.444%
2022-01-06T11:58:26Luminescence5950X21000000307759452040131.44853.313.085106.68.736%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-06-01T00:00:00Thav4_computers21262--0.087--
2001-11-04T00:00:00ANONYMOUSv4_computers21263--0.226--
2014-02-06T08:12:00NesowaManual testing263264--0.278--
2014-02-10T11:50:00lycornManual testing264265--0.528--
2015-06-16T01:49:00VictordeHollanderManual testing265266--1.056--
2016-08-21T01:02:16kkmrkkblmbrbkManual testing266267--2.113--
2018-07-22T22:35:53ramgeisManual testing267268--4.225--
2020-04-17T08:26:38TJAOIManual testing268269--8.450--
2021-08-22T16:44:52SRBaseManual testing269270--16.90--
2021-09-07T19:21:06SRBaseManual testing270271--33.80--
2021-09-26T07:31:11SRBaseManual testing271272--67.60--


ECM factoring results:
Total ECM effort:2.984 GHz-days
Estimated T-Level:1.731
DigitsB1CompleteFacMiss
20110000.34670.740%
25500000.03296.848%
302500000.00299.798%


ECM Summary

B1B2factorcurvesGHz-days
50000500000092.984


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-03-26T00:00:00ANONYMOUSv4_computers1C83AF1AB60B0C__1.543
1999-09-14T00:00:00ANONYMOUSv4_computers4AA501FB534057271.543
2001-11-10T00:00:00ANONYMOUSv4_computers4AA501FB534057271.543


PRP results:
dateuseridcompidcofactorsres64PRP
2022-01-12T14:44:06mrhlanai
3713905907202689002460677243143407737561
C93209BB92F814D5no


P-1 factor-bounds graph:
B1 = 1000000, B2 = 3077594520 (P-1 stage 2)
B1 = 415000, B2 = 12553750 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 415000 (P-1 stage 1)
B1 = 85000, B2 = 1530000 (P-1 stage 2)
B1 = 85000 (P-1 stage 1)
B1 = 35000, B2 = 560000 (P-1 stage 2)
B1 = 35000 (P-1 stage 1)
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1010
TF factor-bounds graph:
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250
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Last modified: 2022-01-12T14:44:06+00:00