is 2 1938317 - 1
has 583492 decimal digits
takes 0.105 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-daysProbability
Actual2767,895.506372.3684%7000000007027602882303,063.918616.5458%10,959.424976.9403%
Target2620.317066.1290%8000900000.00101.1516%0.317966.5191%
Difference+14+7,895.1893+6.2394%+699992000+702760198230+3,063.9176+15.3942%+10,959.1070+10.4212%

Known prime factors (9 factors, 444.6 bits, 0.02293921% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
193831713180555611030.296340
22 × 5 × 17
-5177.923e-114.447e-78.005e-7
193831713645751691030.346352
25 × 11
2008-07-1532327.942e-112.517e-65.123e-6
19383172045273332071237.57452759
7 × 7537
2008-07-15775371.341e-83.282e-56.034e-5
193831736688425409671341.738946399
31 × 30529
2008-07-1531305292.793e-70.00010.0002
19383177417344948540491549.398191334672
24 × 32 × 271 × 4903
2008-08-2627149035.537e-54.117e-54.338e-5
193831755092811033606311652.2911421150695
5 × 19 × 14959481
2014-08-0319149594810.00040.06410.1197
1938317330033581436025271754.8738513405739
32 × 37 × 25565783
2015-07-2137255657830.00190.10960.2046
1938317231676677685398217992064.3295976232930047
3 × 397 × 26947 × 186211
2015-02-19269471862112.34820.00280.0043
1938317167254815270738059123835192683.7904314433997915151627
3 × 11 × 37 × 17827 × 198211980581
2015-10-18178271982119805811,292,171849.491,586.6

502 Composite Factors:
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2015-02-19pdazzlManual testing5000005000002064.3290.0390.2100.0790.668%
2016-03-15James HeinrichManual testing1000000030000000012-
skipped known factor: 1318055561
skipped known factor: 1364575169
skipped known factor: 204527333207
skipped known factor: 3668842540967
skipped known factor: 741734494854049
skipped known factor: 5509281103360631
skipped known factor: 33003358143602527
skipped known factor: 23167667768539821799
--2.029--5.287%
2016-03-16alpertronManual testing5000001500000012-
skipped known factor: 1318055561
skipped known factor: 1364575169
skipped known factor: 204527333207
skipped known factor: 3668842540967
skipped known factor: 741734494854049
skipped known factor: 5509281103360631
skipped known factor: 23167667768539821799
--0.101--2.039%
2016-03-17alpertronManual testing30000000100000000012-
skipped known factor: 1318055561
skipped known factor: 1364575169
skipped known factor: 204527333207
skipped known factor: 3668842540967
skipped known factor: 741734494854049
skipped known factor: 5509281103360631
skipped known factor: 33003358143602527
skipped known factor: 23167667768539821799
--6.517--6.929%
2016-03-17alpertronManual testing1000000003000000000-
skipped known factor: 1318055561
skipped known factor: 1364575169
skipped known factor: 204527333207
skipped known factor: 3668842540967
skipped known factor: 741734494854049
skipped known factor: 5509281103360631
skipped known factor: 33003358143602527
skipped known factor: 23167667768539821799
--20.29--8.668%
2021-04-05Seth_TrManual testing20000000030200000000-
skipped known factor: 1318055561
skipped known factor: 1364575169
skipped known factor: 204527333207
skipped known factor: 3668842540967
skipped known factor: 741734494854049
skipped known factor: 5509281103360631
skipped known factor: 33003358143602527
skipped known factor: 23167667768539821799
--144.3--11.801%
2021-12-20Seth_TrManual testing20000000020685392910-
skipped known factor: 1318055561
skipped known factor: 1364575169
skipped known factor: 204527333207
skipped known factor: 3668842540967
skipped known factor: 741734494854049
skipped known factor: 5509281103360631
skipped known factor: 33003358143602527
skipped known factor: 23167667768539821799
--103.5--11.331%
2022-01-05Seth_TrManual testing700000000702760288230-
skipped known factor: 1318055561
skipped known factor: 1364575169
skipped known factor: 204527333207
skipped known factor: 3668842540967
skipped known factor: 741734494854049
skipped known factor: 5509281103360631
skipped known factor: 33003358143602527
skipped known factor: 23167667768539821799
skipped known factor: 16725481527073805912383519
--3,064--16.546%
2022-01-04Seth_TrManual testing70000000071202901770-
skipped known factor: 1318055561
skipped known factor: 1364575169
skipped known factor: 204527333207
skipped known factor: 3668842540967
skipped known factor: 741734494854049
skipped known factor: 5509281103360631
skipped known factor: 33003358143602527
skipped known factor: 23167667768539821799
--357.2--13.525%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-10-09nordisweet1640000000400000000027--21.41
2021-10-15nordisweet1640000000400000000065--21.41


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-07-15J FeitsmaManual testing??30.346105.62263e-120.5282.82455e-11
2008-07-15J FeitsmaManual testing??37.574123.96446e-90.5281.99156e-8
2008-07-15J FeitsmaManual testing??41.738131.28204e-70.5286.44038e-7
2008-08-26ANONYMOUSManual testing??49.398151.66823e-50.5288.37920e-5
2014-08-03TJAOIManual testing??52.291160.0000.5280.001
2014-12-20TJAOIManual testing254255*54.873170.0010.5260.003
2022-03-07firejugglerManual testing255261--0.156--
2022-11-17LordJuliusManual testing2126130.296107.92280e-110.5283.98005e-10
2022-11-17LordJuliusManual testing2126130.346107.94196e-110.5283.98968e-10
2022-11-17LordJuliusManual testing2126137.574121.34105e-80.5286.73681e-8
2022-11-17LordJuliusManual testing2126154.873170.0020.5260.009
2022-11-17LordJuliusManual testing2126141.738132.79340e-70.5281.40328e-6
2022-11-17LordJuliusManual testing2126152.291160.0000.5280.002
2022-11-17LordJuliusManual testing2126149.398155.53732e-50.5280.000
2022-11-17LordJuliusManual testing2126160.642190.1510.3700.533
2022-03-09LordJuliusManual testing261262--0.158--
2017-10-13KrieselManual testing262263--0.506--
2017-10-13KrieselManual testing263264--1.013--
2022-03-07firejugglerManual testing26426564.329200.5120.2111.029
2022-03-08LordJuliusManual testing26426564.329200.5120.2111.029
2017-10-13KrieselManual testing265266--3.855--
2017-10-13KrieselManual testing266267--7.711--
2022-03-08LordJuliusManual testing267268--15.42--
2017-10-13KrieselManual testing268269--30.84--
2017-10-13KrieselManual testing269270--61.68--
2017-10-13KrieselManual testing270271--123.4--
2017-10-13KrieselManual testing271272--246.7--
2022-03-08LordJuliusManual testing272273--493.5--
2017-10-19KrieselManual testing273274--986.9--
2017-10-30KrieselManual testing274275--1,974--
2018-01-10KrieselManual testing275276--3,948--


ECM factoring results:
Total ECM effort:853.383 GHz-days
Estimated T-Level:31.658
DigitsB1CompleteFacMiss
2011000121.4770.000%
255000021.5900.000%
302500002.9535.219%
3510000000.33271.772%
4030000000.03296.874%
45110000000.00399.735%


ECM Summary

B1B2factorcurvesGHz-days
500005000000463.198
50000500000023416.27
500003891478592.332
25000025000000584203.0
1000000164069263100174.9
1000000164722234100175.2
1000000167969758100177.0
10000001680000004070.83
110000001100000000230.59


Lucas-Lehmer results:
No L-L results for M1938317


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-30alpertronManual testing
1318055561
1364575169
204527333207
3668842540967
741734494854049
5509281103360631
33003358143602527
23167667768539821799
16725481527073805912383519
E61DF893264FB8__no
2017-10-20Oliver KruseThreadripper
1318055561
1364575169
204527333207
3668842540967
741734494854049
5509281103360631
33003358143602527
23167667768539821799
16725481527073805912383519
E61DF893264FB8__no
2022-03-08LordJuliusWhiteBox
1318055561
1364575169
204527333207
3668842540967
741734494854049
5509281103360631
33003358143602527
23167667768539821799
16725481527073805912383519
981BC4AD6A3AA304no


P-1 factor-bounds graph:
B1 = 700000000, B2 = 702760288230 (P-1 stage 2)
B1 = 700000000, B2 = 71202901770 (P-1 stage 2)
B1 = 200000000, B2 = 30200000000 (P-1 stage 2)
B1 = 200000000, B2 = 20685392910 (P-1 stage 2)
B1 = 700000000 (P-1 stage 1)
B1 = 100000000, B2 = 3000000000 (P-1 stage 2)
B1 = 200000000 (P-1 stage 1)
B1 = 100000000 (P-1 stage 1)
B1 = 30000000, B2 = 1000000000 (P-1 stage 2)
B1 = 30000000 (P-1 stage 1)
B1 = 10000000, B2 = 300000000 (P-1 stage 2)
B1 = 10000000 (P-1 stage 1)
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
100
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103
104
105
106
107
108
109
100
101
102
103
104
105
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107
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109
1010
1011
1012
TF factor-bounds graph:
276
275
274
273
272
271
270
269
268
267
266
265
264
263
262
261
255
2
this exponent TF target: 62
TF double-checked to: 67.7
ECM T-Level=31.66 ~= 89-bit
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Last modified: 2023-03-25T13:08:14+00:00