is 2 794203 - 1
has 239079 decimal digits
takes 0.016 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
Actual2721,204.142672.2222%100000000010013806803001,607.365919.8896%2,811.508577.7471%
Target2440.000054.5455%130005000000.001117.1047%0.001162.3203%
Difference+28+1,204.1426+17.6768%+999987000+1001380180300+1,607.3648+2.7849%+2,811.5074+15.4268%

Known prime factors (9 factors, 430.6 bits, 0.05421527% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
7942037942031722.9215
5
-157.043e-133.527e-85.894e-8
79420357182617825.76936
22 × 32
2008-07-16995.672e-122.606e-75.304e-7
79420358405688631032.4433677
3677
2008-07-16136771.294e-95.829e-61.084e-5
79420331407440649591341.5141977293
503 × 3931
2008-07-1650339317.324e-71.998e-52.965e-5
79420379203974986871342.8494986381
3 × 31 × 53617
2008-07-1631536179.614e-78.545e-50.0002
794203197599628371271444.16812440121
3 × 643 × 6449
2008-07-1664364494.919e-62.778e-53.790e-5
794203380603870530331445.11323961372
22 × 3 × 1996781
2012-03-06419967818.523e-60.00320.0059
7942032167680924772193669562669132787.486136468945897471658352
24 × 3 × 7 × 269 × 488701 × 3089577203
2012-12-26488701308957720366,731,1334.88819.1047
7942033851307759638997396348041032788.315242463687472787020217
29 × 191 × 4091 × 10700051331433
2012-05-04409110700051331433104,846,12516,88331,532

502 Composite Factors:
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2017-11-22ATHManual testing1000000001000000000012-
skipped known factor: 7942031
skipped known factor: 57182617
skipped known factor: 5840568863
skipped known factor: 3140744064959
skipped known factor: 7920397498687
skipped known factor: 19759962837127
skipped known factor: 38060387053033
skipped known factor: 216768092477219366956266913
--18.52--12.112%
2021-03-05Seth_TrManual testing13000000019630000000-
skipped known factor: 7942031
skipped known factor: 57182617
skipped known factor: 5840568863
skipped known factor: 3140744064959
skipped known factor: 7920397498687
skipped known factor: 19759962837127
skipped known factor: 38060387053033
skipped known factor: 216768092477219366956266913
--34.53--13.163%
2021-07-02Seth_TrManual testing1000000000211000000000-
skipped known factor: 7942031
skipped known factor: 57182617
skipped known factor: 5840568863
skipped known factor: 3140744064959
skipped known factor: 7920397498687
skipped known factor: 19759962837127
skipped known factor: 38060387053033
skipped known factor: 216768092477219366956266913
--360.3--17.613%
2021-12-22Seth_TrManual testing10000000001001380680300-
skipped known factor: 7942031
skipped known factor: 57182617
skipped known factor: 5840568863
skipped known factor: 3140744064959
skipped known factor: 7920397498687
skipped known factor: 19759962837127
skipped known factor: 38060387053033
skipped known factor: 216768092477219366956266913
--1,607--19.890%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-10-03nordisweet161000000001000000000027--19.71
2021-10-13nordisweet161000000001000000000065--19.71


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-07-16J FeitsmaManual testing??44.168141.96789e-60.0334.07782e-6
2008-07-16J FeitsmaManual testing??41.514133.63511e-70.0337.53310e-7
2008-07-16J FeitsmaManual testing??25.76984.38574e-140.0339.08884e-14
2008-07-16J FeitsmaManual testing??32.443105.73381e-100.0331.18825e-9
2008-07-16J FeitsmaManual testing??42.849132.23711e-70.0334.63590e-7
2012-03-06AxonManual testing??45.113142.62130e-60.0335.43180e-6
2022-11-17LordJuliusManual testing2126044.168144.91878e-60.0331.01926e-5
2022-11-17LordJuliusManual testing2126058.213180.0480.0330.100
2022-11-17LordJuliusManual testing2126045.113148.52307e-60.0331.76613e-5
2022-11-17LordJuliusManual testing2126055.365170.0110.0330.022
2022-11-17LordJuliusManual testing2126025.76985.67222e-120.0331.17549e-11
2022-11-17LordJuliusManual testing2126032.443101.29381e-90.0332.68125e-9
2022-11-17LordJuliusManual testing2126042.849139.61432e-70.0331.99235e-6
2022-11-17LordJuliusManual testing2126022.92177.04306e-130.0331.45958e-12
2022-11-17LordJuliusManual testing2126041.514137.32371e-70.0331.51771e-6
2022-11-17LordJuliusManual testing2126048.690159.23946e-50.0330.000
2022-11-17LordJuliusManual testing260261--0.193--
2022-11-17LordJuliusManual testing261262--0.387--
2022-11-17LordJuliusManual testing262263--1.236--
2017-11-03ATHManual testing253264--4.480--
2022-11-17LordJuliusManual testing263264--2.472--
2017-11-03ATHManual testing264265--4.705--
2017-11-03ATHManual testing265266--9.409--
2017-11-03ATHManual testing266267--18.82--
2017-11-03ATHManual testing267268--37.64--
2017-11-03ATHManual testing268269--75.27--
2017-11-03ATHManual testing269270--150.5--
2017-11-03ATHManual testing270271--301.1--
2018-04-13KrieselManual testing271272--602.2--


ECM factoring results:
Total ECM effort:726.476 GHz-days
Estimated T-Level:34.346
DigitsB1CompleteFacMiss
2011000140.7050.000%
255000033.3380.000%
302500005.9510.260%
3510000000.86941.928%
4030000000.10789.887%
45110000000.01198.881%
50440000000.00199.895%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
10.00000e+0
100000010000000015068.48
10000011000001007534.24
10000021000002007132.41
10000031000003007835.61
10000041000004007433.78
3000000522059848100173.1
3000000524909302100173.6
30000013000001003041.09
30000023000002003041.09
30000033000003003041.09
30000043000004003041.09
various4210.9567


Lucas-Lehmer results:
No L-L results for M794203


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-28Oliver KruseGTX-3
7942031
57182617
5840568863
3140744064959
7920397498687
19759962837127
38060387053033
216768092477219366956266913
385130775963899739634804103
75991D4DCB45905Fno
2017-10-05Oliver KruseManual testing
7942031
57182617
5840568863
3140744064959
7920397498687
19759962837127
38060387053033
216768092477219366956266913
385130775963899739634804103
75991D4DCB4590__no
2017-10-13Oliver KruseThreadripper75991D4DCB4590__no
2017-12-17ATHec2-1xf
7942031
57182617
5840568863
3140744064959
7920397498687
19759962837127
38060387053033
216768092477219366956266913
385130775963899739634804103
75991D4DCB4590__no
2020-04-21Oliver KruseAddPrpType5
7942031
57182617
5840568863
3140744064959
7920397498687
19759962837127
38060387053033
216768092477219366956266913
385130775963899739634804103
D0FBC018C2B74D__no


P-1 factor-bounds graph:
B1 = 1000000000, B2 = 1001380680300 (P-1 stage 2)
B1 = 1000000000, B2 = 211000000000 (P-1 stage 2)
B1 = 130000000, B2 = 19630000000 (P-1 stage 2)
B1 = 1000000000 (P-1 stage 1)
B1 = 100000000, B2 = 10000000000 (P-1 stage 2)
B1 = 130000000 (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
105
106
107
108
109
1010
1011
1012
1013
1014
TF factor-bounds graph:
272
271
270
269
268
267
266
265
264
263
262
261
260
2
this exponent TF target: 44
TF double-checked to: 67.7
ECM T-Level=34.35 ~= 97-bit
250
260
270
280
290
2100
Last modified: 2023-03-23T17:39:31+00:00