is 2 13183 - 1
has 3969 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
Actual2672,253.957279.1045%4000000004000000000.11447.7994%2,254.071680.7342%1.6297%
PrimeNet2400.000065.0000%500100000.00003.3121%0.000066.1592%1.1592%
GPU722440.000268.1818%500100000.00001.3752%0.000268.6194%0.4376%
Difference+23+2,253.9570+10.9227%+399999500+399990000+0.1144+6.4242%+2,254.0714+12.1148%+1.1922%

Known prime factors (5 factors, 273.4 bits, 2.07364560% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
13183698725367929.38026501
26501
-1265019.419e-94.132e-77.712e-7
131832043753107531237.5727751472
24 × 3 × 167 × 967
2008-08-261679672.511e-66.022e-89.719e-8
131839997897819271239.86337919661
3 × 13 × 503 × 1933
2008-08-2650319339.549e-61.661e-72.927e-7
13183427197704270335967733192375.1771620259820489782173
3 × 13 × 47 × 71 × 12449842254211
2008-08-297112449842254211697,659193.98362.29
1318332129646677563882472336213272891.376121860148211954344505561
23 × 91573 × 3933887 × 14707692557
2008-11-223933887147076925574.579e+100.23020.4280

26 Composite Factors:
exponentprime factorscomposite factordigitsbits*
131831428022140116289713512166.953
131836985784822997930422092169.243
131832043323473690047281610312477.435
131832984938726978479662676733408307332104.557
1318314277219440537931310905162057337733106.815
13183873086635632181085251836872419920734112.750
131834271078995921542338349905386200571335115.040
13183224497991663611544464279879644710200937120.756
1318365665065241112124732928835129515322923139128.948
13183321228924451531541406284802754382635712940131.239
13183610047779904891005803048006105741269218396943142.130
131832984311238911271173569575815388270917202167144144.420
13183872903097042076435007308182552890237423633188946152.613
1318345881846809675012842165477310753086541566560277748158.329
13183224450798128411649981182044911078617996923359134349160.619
1318313725711299672318033012578844954756033355870297431
3
51166.553
1318365651261257633718861690543190148261506491133190813
7
51168.811
1318360991953683616147149253305753637122805454523438753
28263
55181.993
1318395905026651995873973574322690574480078020447151770
842497871
59195.933
1318345872201616253001763209547030965694805534989920997
1835611279
60198.191
1318328051965121764935050687915141955420705424076254742
844751687689
62204.126
1318313722825907092346592784235790245209078770353102654
1360552641151
63206.416
1318319600619624776403931023077110027658430036836571731
179689747004365906863
71233.506
1318395884865682102077759343647043536187335555468803715
998892823511051777417
71235.796
1318328046068091713174415682589371109891315431477704784
767653753451050520596703
74243.989
1318319596499220289277452332827813839058006704972022628
054434878609012791539472362665001
83273.369
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2021-08-27T07:28:51Seth_TrManual testing400000000400000000-
skipped known factor: 698725367
skipped known factor: 204375310753
skipped known factor: 999789781927
--0.114--7.799%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-08-26T19:58:00ANONYMOUSManual testing??37.572121.12191e-61.38241e-55.96523e-6
2008-08-26T19:58:00ANONYMOUSManual testing??39.863123.99343e-65.49096e-68.43382e-6


ECM factoring results:
Total ECM effort:25.751 GHz-days
Estimated T-Level:37.104
DigitsB1CompleteFacMiss
2011000606.8670.000%
2550000131.2740.000%
3025000023.4640.000%
3510000003.4193.275%
4030000000.42165.650%
45110000000.04595.641%
50440000000.00499.583%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
10.00000e+0
5000050000001480.030
250000250000005510.567
50000050000000100.021
10000001000000001,4215.848
30000003000000003153.889
30000005280000001,00015.40


Lucas-Lehmer results:
No L-L results for M13183


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-21T19:10:28Oliver KruseOliver-PCF5D0E5ABFDF743__?
2017-09-21T19:22:05Oliver KruseManual testingF5D0E5ABFDF743__?
2017-10-02T10:04:57kkmrkkblmbrbkManual testing
698725367
204375310753
999789781927
42719770427033596773319
3212964667756388247233621327
F5D0E5ABFDF743__no
2017-12-07T02:54:41ATHManual testing
698725367
204375310753
999789781927
42719770427033596773319
3212964667756388247233621327
F5D0E5ABFDF743__no
2020-04-17T13:47:12Oliver KruseManual testing
698725367
204375310753
999789781927
42719770427033596773319
3212964667756388247233621327
76DA6EDA02B2E8__no


P-1 factor-bounds graph:
B1 = 400000000 (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
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1014
TF factor-bounds graph:
267
2
220
230
240
250
260
270
280
290
2100
Last modified: 2021-09-20T08:14:06+00:00