is 2 1940971 - 1
has 584291 decimal digits
takes 0.105 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
-unknown- primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26715.308868.6567%500000150000000.10155.1046%15.410370.2567%1.6000%
PrimeNet2580.019863.7931%80001400000.00122.4645%0.021064.6854%0.8923%
GPU722620.316566.1290%8000900000.00101.1520%0.317566.5192%0.3902%
Difference+5+14.9923+2.5277%+492000+14910000+0.1005+3.9527%+15.0928+3.7375%+3.7375%

Known prime factors (5 factors, 242.8 bits, 0.01250914% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
194097131560188471031.555813
3 × 271
-32711.733e-101.385e-62.203e-6
194097181520782011032.9252100
22 × 3 × 52 × 7
2008-07-1525254.288e-101.967e-64.002e-6
19409719706943523615431549.786250053801
3 × 83351267
2008-08-263833512674.634e-50.35720.6672
19409716073482330790687911859.075156454741745
5 × 31290948349
2015-10-235312909483490.0679134.11250.47
19409718106123196743074621992169.458208816185217169
208816185217169
2020-11-02120881618521716996.295894,9341,671,487

26 Composite Factors:
exponentprime factorscomposite factordigitsbits*
1940971257281124445738542472064.480
194097130635296707294886660009212581.341
194097179131762697203475610241432582.711
194097119168024702896899456055039772890.631
194097149511502912997438004905249912892.000
1940971255830775850250325237278406455331101.013
1940971660817502067896528236409942399931102.382
194097158954949976661414707527419990451333108.861
19409712497413344687057232198267793002312135114.266
194097178685680066253994296003094285381305736119.244
19409711562592363367153156061950471652050537738123.555
194097149232396006631590875162994916535313140939128.533
19409712085552490953742916759977449832268810915341133.938
1940971186062933250285634954639530259148862835651143140.417
1940971480605362545786977595055071113929670882111343141.786
1940971248333489278109814687216262334981397370668527946150.799
1940971641451817198969422629625166352404615169887045746152.168
1940971155378369679896837787607636153550640213727166542349160.088
1940971401346342268660843411366763180961340702639731520949161.457
194097115167995821637716017371605384384873255364503779516
711
53173.341
194097147789608756864267956721061504664594545531936915700
4087
54178.319
194097120244340245223462467958053255536992092459456230903
503079
56183.724
194097112666566203744063592571892786284996628359192153309
803744023
59193.013
194097115082490592741987029226985043056763879931219254636
55400628027689
64209.874
194097138958462778115190792580857692975650101113440487978
84764100607487
64211.243
194097112295364277787952127838605465045609123119147386507
412009235666233121307489
74242.799
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-03-16T12:41:54alpertronManual testing5000001500000012-
skipped known factor: 3156018847
skipped known factor: 8152078201
--0.101--5.105%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-08-26T20:20:00ANONYMOUSManual testing??49.786157.70251e-60.2331.70752e-5
2008-07-15T07:48:00J FeitsmaManual testing??32.925101.33993e-100.2342.97139e-10
2015-10-23T11:16:01TJAOIManual testing259260*59.075180.0280.2140.057


ECM factoring results:

Old Calculation Method

Total ECM effort:19.856 GHz-days
Estimated T-Level:24.607
DigitsB1CurvesCompleteFacMiss
2011000258 / 1002.5807.480%
2550000258 / 2800.92139.729%

New Calculation Method

Total ECM effort:19.856 GHz-days
Estimated T-Level:24.607
DigitsB1CompleteFacMiss
20110008.7990.015%
25500000.79745.067%
302500000.04995.190%
3510000000.00299.774%


ECM Summary

B1B2factorcurvesGHz-days
500005000000392.712
50000500000050.348
50000660000021416.80


Lucas-Lehmer results:
No L-L results for M1940971


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-30T15:29:38alpertronManual testing
3156018847
8152078201
970694352361543
607348233079068791
4CAC71268CFC4F__no
2017-10-20T11:24:43Oliver KruseThreadripper
3156018847
8152078201
970694352361543
607348233079068791
4CAC71268CFC4F__no
2020-11-05T08:54:31fre_gamesgpu
3156018847
8152078201
970694352361543
607348233079068791
810612319674307462199
6A48C96ED1737B__no
2020-11-06T04:36:26kutenshadar
3156018847
8152078201
970694352361543
607348233079068791
810612319674307462199
6A48C96ED1737BC8no


P-1 factor-bounds graph:
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
100
101
102
103
104
105
106
100
101
102
103
104
105
106
107
108
109
1010
1011
1012
1013
1014
1015
TF factor-bounds graph:
267
260
2
230
240
250
260
270
280
290
2100
Last modified: 2022-04-21T11:52:19+00:00