is 2 1997657 - 1
has 601355 decimal digits
takes 0.131 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
Actual26714.874468.6567%----14.874468.6567%0.0000%
PrimeNet2580.019263.7931%80001400000.00142.4783%0.020764.6904%0.8973%
GPU722620.307566.1290%80001100000.00131.2363%0.308866.5478%0.4188%
Difference+5+14.5668+2.5277%-8000-110000-0.0013-1.2363%+14.5656+2.1089%+2.1089%

Known prime factors (3 factors, 168.2 bits, 0.00841815% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
199765732721621671031.608819
32 × 7 × 13
-9131.686e-108.788e-71.746e-6
19976576467614303211239.234161880
23 × 3 × 5 × 19 × 71
2008-07-1519713.809e-82.082e-63.687e-6
19976571983161090648126279384231999273097.32449637177219315585192659
63659 × 779735421846331001
2021-09-27636597797354218463310012.510e+104.050e+97.565e+9

4 Composite Factors:
exponentprime factorscomposite factordigitsbits*
199765721163082833711828656072270.842
199765764892246918852563208395560043620656180939128.931
199765712826321035445364893731739429819626278656742136.558
199765741969802433980589000778973209357932743099453321068
9
51168.166
P-1 results:
No P-1 results for M1997657


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-07-15T07:49:00J FeitsmaManual testing??39.234121.42838e-90.2863.11081e-9


ECM factoring results:

Old Calculation Method

Total ECM effort:3.300 GHz-days
Estimated T-Level:1.900
DigitsB1CurvesCompleteFacMiss
201100038 / 1000.38068.255%
255000038 / 2800.13687.288%

New Calculation Method

Total ECM effort:3.300 GHz-days
Estimated T-Level:1.900
DigitsB1CompleteFacMiss
20110001.25028.650%
25500000.11389.357%
302500000.00799.308%


ECM Summary

B1B2factorcurvesGHz-days
500005000000272.283
50000500000040.338
50000680000070.678


Lucas-Lehmer results:
No L-L results for M1997657


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-05T17:47:06Oliver KruseGTX-3
3272162167
646761430321
FF83CA7945272F__no
2017-11-13T03:14:01kkmrkkblmbrbkc4.xlarge
3272162167
646761430321
FF83CA7945272F__no
2021-09-27T20:37:32SRJ2877LTOS
3272162167
646761430321
198316109064812627938423199927
9CF78ACECC3EA5__no


P-1 factor-bounds graph:
100
101
102
103
104
105
100
101
102
103
104
105
106
107
108
109
1010
1011
1012
1013
1014
1015
1016
1017
1018
TF factor-bounds graph:
267
2
230
240
250
260
270
280
290
2100
Last modified: 2022-04-15T22:18:18+00:00