is 2 3411671 - 1
has 1027016 decimal digits
takes 0.358 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L2A8630631552A6C7double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26817.470967.6471%34116711119079501.41988.3422%18.890770.3460%2.6989%
PrimeNet2600.045063.3333%140002800000.00432.8489%0.049464.3779%1.0446%
GPU722641.043365.6250%190003200000.00541.8203%1.048766.2507%0.6257%
Difference+4+16.4276+2.0221%+3392671+111587950+1.4144+6.5218%+17.8420+4.0953%+4.0953%

Known prime factors (2 factors, 152.2 bits, 0.00446149% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
34116714070375407298530468092168.46459653691802324
22 × 32 × 19 × 1871 × 46613041
2016-12-0118714661304129.1680.38700.7224
3411671162405475395225099680320492683.7482380145614791477544
23 × 11 × 1019 × 353867 × 75007831
2021-12-20353867750078311,044,4720.67331.1624

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
3411671661051253059350833558015611132672415240918164146152.212
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2009-07-04T06:49:00Carsten Kossendeyleela15000210000---0.004--0.817%
2011-10-31T19:13:00markrtiny2150004783750---0.071--3.522%
2021-03-16T01:10:03Jocelyn LaroucheManual testing34116737528386---0.080--3.551%
2021-06-09T12:35:17Jocelyn LaroucheManual testing34116713411671---0.520--3.910%
2021-12-20T20:11:19Jocelyn LaroucheManual testing34116711119079502683.7481.4200.7172.8408.342%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-02-23T16:29:28Mark RoseManual testing21260--0.045--
2009-03-24T06:24:00S485122USB-A260261--0.045--
2022-04-25T04:20:03LordJuliusManual testing21262--0.180--
2011-07-25T11:39:00Carsten KossendeyManual testing261263--0.378--
2022-04-25T04:20:03LordJuliusManual testing262263--0.288--
2015-01-30T19:15:00VictordeHollanderManual testing263264--0.575--
2022-04-25T04:20:03LordJuliusManual testing263264--0.575--
2015-01-30T19:15:00VictordeHollanderManual testing264265--1.095--
2022-04-25T04:20:03LordJuliusManual testing264265--1.095--
2015-04-08T08:56:00Gordon SpenceManual testing265266--2.190--
2022-04-25T04:20:03LordJuliusManual testing265266--2.190--
2022-04-25T04:20:03LordJuliusManual testing266267--4.381--
2021-06-09T12:35:19Jocelyn LaroucheManual testing267268--8.761--


ECM factoring results:

Old Calculation Method

Total ECM effort:1.320 GHz-days
Estimated T-Level:0.450
DigitsB1CurvesCompleteFacMiss
20110009 / 1000.09091.352%
25500009 / 2800.03296.831%

New Calculation Method

Total ECM effort:1.320 GHz-days
Estimated T-Level:0.450
DigitsB1CompleteFacMiss
20110000.34670.740%
25500000.03296.848%
302500000.00299.798%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
50000500000091.320


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-07-27T00:00:00ANONYMOUSv4_computers2A8630631552A6C70.358


PRP results:
dateuseridcompidcofactorsres64PRP
2017-11-06T04:15:10alpertron
407037540729853046809
40BAAE7FA6AD59__no
2017-11-21T08:23:42Oliver KruseThreadripper
407037540729853046809
40BAAE7FA6AD59__no
2021-12-27T13:56:50GANLMS-09
407037540729853046809
16240547539522509968032049
40BAAE7FA6AD5916no


P-1 factor-bounds graph:
B1 = 3411671, B2 = 111907950 (P-1 stage 2)
B1 = 3411671 (P-1 stage 1)
B1 = 341167, B2 = 3752838 (P-1 stage 2)
B1 = 215000, B2 = 4783750 (P-1 stage 2)
B1 = 341167 (P-1 stage 1)
B1 = 215000 (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: 2022-04-25T04:20:03+00:00