is 2 3419921 - 1
has 1029499 decimal digits
takes 0.359 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L706D94AA37B9317Edouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26934.909268.1159%140000007000000007.823910.9043%42.733271.5927%3.4767%
PrimeNet2600.044963.3333%140002800000.00432.8502%0.049264.3784%1.0451%
GPU722641.040865.6250%190003200000.00541.8212%1.046266.2510%0.6260%
Difference+5+33.8685+2.4909%+13981000+699680000+7.8185+9.0831%+41.6870+5.3417%+2.8507%

Known prime factors (1 factor, 85.7 bits, 0.00250615% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
3419921632151087650736366231058632685.7089242188454802557811
3 × 211 × 14600613672673867
2021-06-14211146006136726738672,643,811121,144,131226,263,500

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2009-07-06T10:47:00Carsten Kossendeyleela15000210000---0.004--0.698%
2011-10-28T20:30:00harleeP4_260060000945000---0.016--1.663%
2014-07-18T01:20:00Jocelyn LaroucheManual testing7876878768---0.012--0.652%
2014-09-11T20:27:00HBendtzHAL900750000010000000---0.155--4.158%
2021-04-18T01:31:02axnManual testing14000000700000000---7.824--10.904%
2022-04-09T02:55:28Jocelyn LaroucheManual testing10000001000000---0.152--2.307%
2022-04-10T12:35:43Jocelyn LaroucheManual testing1000000126668850---1.195--6.988%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-02-23T16:29:28Mark RoseManual testing21260--0.045--
2009-03-24T06:24:00S485122USB-A260261--0.045--
2011-08-02T01:21:00Grant McCrackenthumper261262--0.090--
2012-08-18T15:31:00GrunwalderGIMPManual testing21263--0.467--
2016-02-23T16:29:28Mark RoseManual testing262263--0.287--
2015-02-07T18:04:00VictordeHollanderManual testing263264--0.574--
2015-02-07T18:04:00VictordeHollanderManual testing264265--1.093--
2015-04-10T00:12:00Gordon SpenceManual testing265266--2.185--
2017-01-31T14:56:11Gordon SpenceManual testing266267--4.370--
2018-12-17T13:21:52TJAOIManual testing267268--8.740--
2020-12-29T07:42:00axnManual testing268269--17.48--


ECM factoring results:
Total ECM effort:4.912 GHz-days
Estimated T-Level:20.592
DigitsB1CompleteFacMiss
20110001.27527.932%
25500000.11888.838%
302500000.00799.256%


ECM Summary

B1B2factorcurvesGHz-days
500005000000294.256
50000630000040.656


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-07-26T00:00:00ANONYMOUSv4_computers706D94AA37B9317E0.359


PRP results:
dateuseridcompidcofactorsres64PRP
2021-06-15T09:13:53DKZWaaaf
63215108765073636623105863
5220BB5334FFDB57no
2021-06-21T06:06:09NesowaLaptop
63215108765073636623105863
5220BB5334FFDB57no


P-1 factor-bounds graph:
B1 = 14000000, B2 = 700000000 (P-1 stage 2)
B1 = 14000000 (P-1 stage 1)
B1 = 1000000, B2 = 126668850 (P-1 stage 2)
B1 = 500000, B2 = 10000000 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 500000 (P-1 stage 1)
B1 = 60000, B2 = 945000 (P-1 stage 2)
B1 = 78768 (P-1 stage 1)
B1 = 60000 (P-1 stage 1)
B1 = 15000, B2 = 210000 (P-1 stage 2)
B1 = 15000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-04-10T12:35:43+00:00