is 2 9923 - 1
has 2988 decimal digits
takes 0.000 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-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actualunknown1000000000100294988083290966.370172.9890%966.370172.9890%72.9890%
PrimeNet2400.000065.0000%500100000.00003.0691%0.000066.0742%1.0742%
GPU722440.000268.1818%500100000.00001.2608%0.000268.5830%0.4012%
Difference-44-0.0002-68.1818%+999999500+100294988073290+966.3701+71.7282%+966.3699+4.4060%+72.5878%

Known prime factors (5 factors, 268.9 bits, 2.71025203% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
992321826829271031.023109981
109 × 1009
-10910095.205e-82.794e-83.922e-8
992384886898891032.983427728
24 × 3 × 7 × 19 × 67
-19679.121e-83.822e-96.837e-9
992313237116881291340.26866699168
25 × 3 × 694783
-326947831.549e-56.699e-61.250e-5
992391954449345143931653.030463339964452
22 × 47 × 2464574279
-4724645742790.19300.02370.0443
9923402995915911063361191937112192307334111.634203061531750006732435723628032
29 × 3 × 11 × 12018319824219148463288567
-512120183198242191484632885671.589e+131.158e+142.162e+14

26 Composite Factors:
exponentprime factorscomposite factordigitsbits*
9923185281184933178251032064.006
992328892429019495168735832271.291
9923112365780229717636276812373.251
9923200707406647331986368683112684.053
9923780572804404685949840723772686.013
9923121721179373633090148777406972993.298
99232452588700864388227321890330228732104.274
992317037429334546184215141261421020747936117.036
99232656787400731334998299883361167498011938124.321
992310332533446261145655417522802578771263339126.280
9923879612305309805648888875504839832684447467143142.658
99233420907356702537777388351552590697601090889744144.617
9923533450404159726212870859940363684364170530041746151.902
992322552644345810674605540052077821875609043131679148157.304
99233705726753594375857398649935508945902508155728968950164.664
992374667560823233282242780815825136582729209415234301
519
53175.641
992311643530895606841858275936476400520324918664385591
880559
56182.926
992345282950520736314442051304385003504449217722367495
383713
56184.885
992380884265171975800671650198470850272771711579878776
573439703
59195.688
992331456765224633372747965625549805291151668961276535
7258254521
60197.647
992349053138167452100847172886806580637613904082751838
452075401881
62204.932
992398838322985796913001568912939227383996476061117358
193781678967951
65215.908
992368660144394454582531411644870434997171012009334118
6544647672807262967
69228.671
992310706744719386976760940649625002710896864245923803
2967207087402322385687
72235.955
992341639687798577063735320481846996255717632067307135
0364293875012856281209
72237.915
992390886235643564371908874862600852153587801646178998
5092979471401233310499595218743
81268.938
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2021-08-27T05:21:13Seth_TrManual testing100000000100000000-
skipped known factor: 2182682927
skipped known factor: 8488689889
skipped known factor: 1323711688129
--0.018--26.515%
2021-08-27T06:20:19Seth_TrManual testing400000000400000000-
skipped known factor: 2182682927
skipped known factor: 8488689889
skipped known factor: 1323711688129
--0.071--30.202%
2022-11-24T18:57:26Kevin_9611F1000000000100294988083290-
skipped known factor: 2182682927
skipped known factor: 8488689889
skipped known factor: 1323711688129
skipped known factor: 9195444934514393
--966.4--64.032%


Trial Factoring results:
No TF results for M9923


ECM factoring results:
Total ECM effort:29.173 GHz-days
Estimated T-Level:39.186
DigitsB1CompleteFacMiss
2011000754.0640.000%
2550000198.7870.000%
3025000039.8550.000%
3510000006.3730.171%
4030000000.83743.296%
45110000000.09590.925%
50440000000.00999.070%


ECM Summary

B1B2factorcurvesGHz-days
50000500000050.001
2500002500000050.003
100000010000000040.010
30000003000000003,73028.47
100000001000000000270.687


Lucas-Lehmer results:
No L-L results for M9923


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-21T19:02:08Oliver KruseOliver-PC09F8B410FFD2D5__?
2017-09-21T19:21:48Oliver KruseManual testing09F8B410FFD2D5__?
2017-10-02T10:03:33kkmrkkblmbrbkManual testing
2182682927
8488689889
1323711688129
9195444934514393
4029959159110633611919371121923073
09F8B410FFD2D5__no
2017-12-07T02:54:35ATHManual testing
2182682927
8488689889
1323711688129
9195444934514393
4029959159110633611919371121923073
09F8B410FFD2D5__no
2020-04-17T13:47:09Oliver KruseManual testing
2182682927
8488689889
1323711688129
9195444934514393
4029959159110633611919371121923073
4F37077F1169D3__no


P-1 factor-bounds graph:
B1 = 1000000000, B2 = 100294988083290 (P-1 stage 2)
B1 = 1000000000 (P-1 stage 1)
B1 = 400000000 (P-1 stage 1)
B1 = 100000000 (P-1 stage 1)
100
101
102
103
104
105
106
107
108
109
100
101
102
103
104
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109
1010
1011
1012
1013
1014
1015
1016
1017
1018
1019
1020
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1025
1026
TF factor-bounds graph:
230
240
250
260
270
280
290
2100
2110
2120
Last modified: 2022-11-24T18:57:26+00:00