is 2 3423697 - 1
has 1030636 decimal digits
takes 0.360 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP2CF3EDFBF048868Everified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26934.870768.1159%140000007000000007.823910.9053%42.694771.5930%3.4770%
PrimeNet2600.044963.3333%140002800000.00432.8507%0.049264.3786%1.0453%
GPU722641.039665.6250%190003200000.00541.8215%1.045066.2512%0.6262%
Difference+5+33.8311+2.4909%+13981000+699680000+7.8185+9.0837%+41.6497+5.3418%+5.3418%

Known prime factors (1 factor, 79.5 bits, 0.00232340% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
34236978827470733559776134916632479.546128917230899226423
3 × 1629281 × 26375076061
2021-07-2816292812637507606139,035219.07408.73

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2009-07-06T10:49:00Carsten Kossendeyleela15000210000---0.004--0.698%
2011-10-29T23:42:00harleeP4_260060000945000---0.016--1.663%
2014-07-18T01:20:00Jocelyn LaroucheManual testing7874778747---0.012--0.652%
2014-09-13T02:33:00HBendtzHAL900750000010000000---0.155--4.158%
2021-04-23T01:45:57axnManual testing14000000700000000---7.824--10.905%
2022-04-09T09:24:19Jocelyn LaroucheManual testing10000001000000---0.152--2.308%
2022-04-10T15:21:24Jocelyn LaroucheManual testing1000000126668850---1.195--6.989%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-02-23T16:29:28Mark RoseManual testing21260--0.045--
2009-03-24T06:23:00S485122USB-A260261--0.045--
2011-07-30T22:28:00Grant McCrackenthumper261262--0.090--
2012-08-18T15:31:00GrunwalderGIMPManual testing21263--0.466--
2016-02-23T16:29:28Mark RoseManual testing262263--0.287--
2015-02-07T18:04:00VictordeHollanderManual testing263264--0.573--
2015-02-07T18:04:00VictordeHollanderManual testing264265--1.091--
2015-04-11T09:16:00Gordon SpenceManual testing265266--2.183--
2017-02-02T18:08:19Gordon SpenceManual testing266267--4.365--
2018-11-26T14:19:31TJAOIManual testing267268--8.731--
2020-12-30T04:44:42axnManual testing268269--17.46--


ECM factoring results:

Old Calculation Method

Total ECM effort:6.482 GHz-days
Estimated T-Level:2.200
DigitsB1CurvesCompleteFacMiss
201100044 / 1000.44064.261%
255000044 / 2800.15785.434%

New Calculation Method

Total ECM effort:6.482 GHz-days
Estimated T-Level:2.200
DigitsB1CompleteFacMiss
20110001.69618.351%
25500000.15785.481%
302500000.01099.015%


ECM Summary

B1B2factorcurvesGHz-days
500005000000436.312
50000675000010.170


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-06-26T00:00:00foxkidv4_computers7BCCA021F997B8__0.360


PRP results:
dateuseridcompidcofactorsres64PRP
2021-07-29T05:38:02kutenssol
882747073355977613491663
2CF3EDFBF048868Eno


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 = 78747 (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: 2022-04-10T15:21:24+00:00