is 2 101113 - 1
has 30439 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
Actual267293.868474.6269%100000000067366001102401,185.694225.4975%1,479.562781.0964%6.4695%
PrimeNet2400.000057.5000%1100190000.00008.0803%0.000060.9341%3.4341%
GPU722440.000061.3636%1200180000.00004.1575%0.000062.9700%1.6063%
Difference+23+293.8684+13.2632%+999998800+6736600092240+1,185.6942+21.3400%+1,479.5626+18.1264%+4.8632%

Known prime factors (5 factors, 280.7 bits, 0.27757518% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
101113777154519929.5343843
32 × 7 × 61
-9611.296e-93.813e-85.902e-8
101113650283992391135.920321563
11 × 23 × 31 × 41
2008-07-2631417.254e-81.016e-72.033e-7
10111368612780264391342.64233928763
112 × 43 × 6521
2008-07-2612165211.094e-51.513e-62.138e-6
101113219168728862171444.317108378116
22 × 7 × 11 × 23 × 15299
2008-07-2623152993.399e-52.756e-65.017e-6
10111340519747313714196534202108135133511799339128.2522003686336757597763601223786018292
22 × 3 × 1307 × 58537 × 121571 × 581029 × 1399847 × 22071613
2014-06-221399847220716131.271e+120.00810.0092

26 Composite Factors:
exponentprime factorscomposite factordigitsbits*
101113505371143319250110412065.454
10111353322732243624703278412272.175
101113170327968058721143646232373.851
1011134461779267930532894799212478.562
10111314252191601153332963888632580.237
1011131503777583424574075646912632786.959
10111334674919208527254172713576491299933108.096
101113110761551084901583247977126172189734109.771
10111311686675445293072385392459988026749736116.492
101113977882490615918318346968217013914885737122.879
101113759965796633136014438226959801736639303123478346152.413
10111331490104733591098511009306396545671363165816036748157.786
1011132634934305379604552168204806126911767852997640732750164.172
10111327801725188044791419508681426898212855607242386169
27
52170.894
10111388806615125630679514080533607886954620936321584024
81
52172.569
10111320477511026938856881504916131990483679012360441917
562760713
59193.706
10111321606236365885134426083596530645314273759062909539
79127943113
61200.427
10111369016462261977635309408410823300720824808594330262
11929961639
61202.103
10111318079016850611390462422920690548011789900300176676
5830139318553
63206.814
10111357749520234537279691084874614518299642701230279620
5822916111959
63208.489
10111360932687696391511478156099114483061628655191590832
998666721195159
65215.211
10111314050189644529790010745472503837987948986296841760
7048907557813044491007
72236.347
10111344880300620352586785893534319221279575521346478666
7691333370166846792721
72238.023
10111347354113598066363138489382214232409693664882037626
663888163351730897773521
74244.744
10111339623551422262504280521858407794588986912313614387
23769875100581902686084001
76251.131
10111330793622046640182405864405939895709654926536382166
26519351150482805202108419790750519
85280.665
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2014-06-22T09:37:00BloodIceURM2100000000200000000039128.2520.3220.0000.64411.733%
2016-11-02T22:05:59kkmrkkblmbrbkManual testing100000000200000000012-
skipped known factor: 777154519
skipped known factor: 65028399239
skipped known factor: 6861278026439
skipped known factor: 21916872886217
skipped known factor: 405197473137141965342021081351335117993
--0.656--11.733%
2021-12-18T15:08:49Seth_TrManual testing10000000006736600110240-
skipped known factor: 777154519
skipped known factor: 65028399239
skipped known factor: 6861278026439
skipped known factor: 21916872886217
skipped known factor: 405197473137141965342021081351335117993
--1,186--25.498%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-07-26T09:16:00J FeitsmaManual testing??44.317141.08164e-50.0002.23780e-5
2008-07-26T09:16:00J FeitsmaManual testing??35.920112.72695e-80.0005.65826e-8
2008-07-26T09:16:00J FeitsmaManual testing??42.642135.14607e-60.0001.06467e-5
2018-10-25T13:19:55J.R. AllenManual testing252257--0.184--
2022-04-13T17:48:15LordJuliusManual testing2125744.317143.39944e-50.0007.03309e-5
2022-04-13T17:48:15LordJuliusManual testing2125735.920117.25391e-80.0001.50514e-7
2022-04-13T17:48:15LordJuliusManual testing2125742.642131.09406e-50.0002.26349e-5
2022-04-13T17:48:15LordJuliusManual testing2125729.53491.29571e-90.0002.68904e-9
2018-11-02T23:29:51J.R. AllenManual testing257258--0.190--
2022-04-13T17:48:15LordJuliusManual testing257258--0.190--
2018-11-02T23:29:51J.R. AllenManual testing258259--0.380--
2022-04-13T17:48:15LordJuliusManual testing258259--0.380--
2018-11-02T23:29:51J.R. AllenManual testing259260--0.759--
2022-04-13T17:48:15LordJuliusManual testing259260--0.759--
2022-04-13T17:48:15LordJuliusManual testing260261--1.519--
2022-04-13T17:48:15LordJuliusManual testing261262--3.038--
2022-11-04T20:14:08LordJuliusManual testing262263--9.71--
2022-11-04T20:14:08LordJuliusManual testing263264--19.42--
2022-11-04T21:26:01LordJuliusManual testing264265--36.95--
2022-11-06T13:52:41LordJuliusManual testing265266--73.90--
2022-11-06T13:52:41LordJuliusManual testing266267--147.8--


ECM factoring results:
Total ECM effort:12.600 GHz-days
Estimated T-Level:30.835
DigitsB1CompleteFacMiss
201100057.3550.000%
255000010.4420.003%
302500001.46223.177%
3510000000.16784.617%
4030000000.01698.416%
45110000000.00199.870%


ECM Summary

B1B2factorcurvesGHz-days
500005000000120.028
250000250000002392.774
10000001000000002119.80


Lucas-Lehmer results:
No L-L results for M101113


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-21T20:55:17Oliver KrusePRP
777154519
65028399239
6861278026439
21916872886217
405197473137141965342021081351335117993
4258169A3F6677E2no
2017-09-21T21:30:30Oliver KruseManual testing
777154519
65028399239
6861278026439
21916872886217
405197473137141965342021081351335117993
4258169A3F6677E2no
2017-10-09T02:03:17Chang Chia-Tchehomura4258169A3F6677__?
2017-10-13T09:55:36kkmrkkblmbrbkManual testing
777154519
65028399239
6861278026439
21916872886217
405197473137141965342021081351335117993
4258169A3F6677__no
2020-04-17T15:26:33Oliver KruseAddPrpType5
777154519
65028399239
6861278026439
21916872886217
405197473137141965342021081351335117993
16E0B8CEFA3748__no
2022-04-15T06:47:11LordJuliusWhiteBox
777154519
65028399239
6861278026439
21916872886217
405197473137141965342021081351335117993
16E0B8CEFA3748CAno


P-1 factor-bounds graph:
B1 = 1000000000, B2 = 6736600110240 (P-1 stage 2)
B1 = 1000000000 (P-1 stage 1)
B1 = 100000000, B2 = 2000000000 (P-1 stage 2)
B1 = 100000000 (P-1 stage 1)
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TF factor-bounds graph:
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2
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Last modified: 2022-11-06T13:52:41+00:00