is 2 1971023 - 1
has 593338 decimal digits
takes 0.130 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
Actual26715.075468.6567%1320001343815200.70995.8654%15.785370.4951%1.8384%
PrimeNet2580.019563.7931%80001400000.00142.4719%0.020964.6881%0.8950%
GPU722620.311766.1290%80001000000.00121.1960%0.312966.5341%0.4051%
Difference+5+14.7637+2.5277%+124000+134281520+0.7087+4.6694%+15.4724+3.9610%+3.9610%

Known prime factors (3 factors, 129.3 bits, 0.00656197% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
19710233942047721.9111
1
-111.418e-139.534e-81.940e-7
19710238598233053371239.645218116
22 × 31 × 1759
2008-07-153117594.501e-81.193e-51.707e-5
19710232538022738356392223192167.78264383387163833
3 × 5641 × 3804490171
2021-01-265641380449017121.28919.76236.909

4 Composite Factors:
exponentprime factorscomposite factordigitsbits*
197102333894638813338048391961.556
197102310005004921669600894249469932889.693
197102321822510999140570920456276221650333107.428
197102386025364016629090175271902310727900164139129.338
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2022-08-12T12:48:52harleei5-5250U_1600132000134381520-
skipped known factor: 3942047
skipped known factor: 859823305337
--0.710--5.865%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-07-15T07:48:00J FeitsmaManual testing??39.645127.84964e-90.2831.71300e-8


ECM factoring results:

Old Calculation Method

Total ECM effort:25.412 GHz-days
Estimated T-Level:24.571
DigitsB1CurvesCompleteFacMiss
2011000256 / 1002.5607.631%
2550000256 / 2800.91440.015%

New Calculation Method

Total ECM effort:25.412 GHz-days
Estimated T-Level:24.571
DigitsB1CompleteFacMiss
201100010.5720.003%
25500000.99936.816%
302500000.06493.828%
3510000000.00399.700%


ECM Summary

B1B2factorcurvesGHz-days
500005000000272.280
50000630000050.466
50000675000070.674
50000700000070.686
50000750000021021.31


Lucas-Lehmer results:
No L-L results for M1971023


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-05T10:35:20Oliver KruseGTX-0
3942047
859823305337
431A074D75DB28__no
2017-11-12T08:10:45kkmrkkblmbrbkold
3942047
859823305337
431A074D75DB28__no
2021-01-26T12:53:52SRJ2877LTOS
3942047
859823305337
253802273835639222319
89EA1A9E6A6469D6no


P-1 factor-bounds graph:
B1 = 132000, B2 = 134381520 (P-1 stage 2)
B1 = 132000 (P-1 stage 1)
100
101
102
103
104
105
106
100
101
102
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
267
2
220
230
240
250
260
270
280
290
2100
Last modified: 2022-08-12T12:48:52+00:00