is 2 28035701 - 1
has 8439587 decimal digits
takes 27.880 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
Actual276545.875267.1053%4000000012001588830997.393511.9273%1,543.268771.0287%
Target2708.523164.2857%200000300000002.62953.9207%11.152665.6860%
Difference+6+537.3521+2.8195%+39800000+11971588830+994.7640+8.0066%+1,532.1161+5.3428%

Known prime factors (9 factors, 409.8 bits, 0.00146159% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2803570115699992571030.54828
22 × 7
-475.133e-126.003e-61.174e-5
2803570128596415031031.41351
3 × 17
2008-09-083171.032e-115.426e-68.804e-6
28035701336428412011134.970600
23 × 3 × 52
2008-09-0825259.224e-113.605e-57.337e-5
28035701276221183388491444.651492624
24 × 32 × 11 × 311
2008-10-01163111.361e-74.625e-54.695e-5
28035701447460441526391445.347798019
19 × 97 × 433
2008-10-01974332.895e-70.00020.0003
2803570137175462883084411651.72366300220
22 × 5 × 7 × 139 × 3407
2014-07-0913934071.816e-50.00050.0005
28035701322318660472122011754.839574836100
22 × 52 × 31 × 107 × 1733
2014-08-1910717330.00010.00030.0003
28035701479140527410072871755.411854518543
113 × 7562111
2014-08-1911375621110.00030.59421.1096
2803570120993284886970836891960.86537440271044
22 × 32 × 11 × 3191 × 29629
2014-08-193191296290.00970.00670.0094

502 Composite Factors:
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2019-12-07Seth_TrManual testing2000002000000012-
skipped known factor: 1569999257
skipped known factor: 2859641503
skipped known factor: 33642841201
skipped known factor: 27622118338849
skipped known factor: 44746044152639
skipped known factor: 3717546288308441
skipped known factor: 32231866047212201
skipped known factor: 47914052741007287
skipped known factor: 2099328488697083689
--1.844--2.599%
2019-12-15Seth_TrManual testing5000005000000012-
skipped known factor: 1569999257
skipped known factor: 2859641503
skipped known factor: 33642841201
skipped known factor: 27622118338849
skipped known factor: 44746044152639
skipped known factor: 3717546288308441
skipped known factor: 32231866047212201
skipped known factor: 47914052741007287
skipped known factor: 2099328488697083689
--4.610--3.656%
2019-12-16Seth_TrManual testing100000010000000012-
skipped known factor: 1569999257
skipped known factor: 2859641503
skipped known factor: 33642841201
skipped known factor: 27622118338849
skipped known factor: 44746044152639
skipped known factor: 3717546288308441
skipped known factor: 32231866047212201
skipped known factor: 47914052741007287
skipped known factor: 2099328488697083689
--9.219--4.562%
2019-12-18Seth_TrManual testing400000040000000012-
skipped known factor: 1569999257
skipped known factor: 2859641503
skipped known factor: 33642841201
skipped known factor: 27622118338849
skipped known factor: 44746044152639
skipped known factor: 3717546288308441
skipped known factor: 32231866047212201
skipped known factor: 47914052741007287
skipped known factor: 2099328488697083689
--36.88--6.621%
2019-12-30Seth_TrManual testing20000000200000000012-
skipped known factor: 1569999257
skipped known factor: 2859641503
skipped known factor: 33642841201
skipped known factor: 27622118338849
skipped known factor: 44746044152639
skipped known factor: 3717546288308441
skipped known factor: 32231866047212201
skipped known factor: 47914052741007287
skipped known factor: 2099328488697083689
--184.4--9.343%
2022-01-04Seth_TrManual testing4000000012001588830-
skipped known factor: 1569999257
skipped known factor: 2859641503
skipped known factor: 33642841201
skipped known factor: 27622118338849
skipped known factor: 44746044152639
skipped known factor: 3717546288308441
skipped known factor: 32231866047212201
skipped known factor: 47914052741007287
skipped known factor: 2099328488697083689
--997.4--11.927%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-09-08Will EdgingtonManual testing??31.413101.12645e-1365.032.62732e-13
2008-09-08Will EdgingtonManual testing??34.970111.06018e-1165.032.47277e-11
2008-10-01markrManual testing??44.651145.25444e-865.031.22554e-7
2008-10-01markrManual testing??45.347141.22278e-765.032.85200e-7
2014-07-09TJAOIManual testing??51.723167.45755e-665.031.73939e-5
2014-08-19pdazzlManual testing25025854.839170.00065.030.000
2014-08-19pdazzlManual testing25025855.411170.00065.030.001
2022-06-25LordJuliusManual testing2126030.548105.13306e-1265.031.19723e-11
2022-06-25LordJuliusManual testing2126044.651141.36138e-765.033.17527e-7
2022-06-25LordJuliusManual testing2126031.413101.03169e-1165.032.40631e-11
2022-06-25LordJuliusManual testing2126054.839170.00065.030.000
2022-06-25LordJuliusManual testing2126034.970119.22360e-1165.032.15131e-10
2022-06-25LordJuliusManual testing2126051.723161.81575e-565.034.23504e-5
2022-06-25LordJuliusManual testing2126055.411170.00065.030.001
2022-06-25LordJuliusManual testing2126045.347142.89465e-765.036.75146e-7
2014-08-19pdazzlManual testing26026260.865190.00465.020.010
2022-06-26LordJuliusManual testing260262
skipped known factors(?)
--0.016--
2022-06-26LordJuliusManual testing26026260.865190.00465.020.010
2017-11-07ATHManual testing262265--0.238--
2017-11-07ATHManual testing265266--0.267--
2017-11-07ATHManual testing266267--0.533--
2021-08-06Seth_TrManual testing266267--0.533--
2017-11-07ATHManual testing267268--1.066--
2019-06-20Seth_TrManual testing267268--1.066--
2017-11-07ATHManual testing268269--2.132--
2019-12-04Seth_TrManual testing268269--2.132--
2017-11-07ATHManual testing269270--4.265--
2019-12-04Seth_TrManual testing269270--4.265--
2017-11-07ATHManual testing270271--8.529--
2017-11-07ATHManual testing271272--17.06--
2017-11-07ATHManual testing272273--34.12--
2017-11-07ATHManual testing273274--68.24--
2017-11-07ATHManual testing274275--136.5--
2017-11-08ATHManual testing275276--272.9--


ECM factoring results:
Total ECM effort:4.537 GHz-days
Estimated T-Level:0.577
DigitsB1CompleteFacMiss
20110000.11589.102%
25500000.01198.938%


ECM Summary

B1B2factorcurvesGHz-days
50000500000034.537


Lucas-Lehmer results:
No L-L results for M28035701


PRP results:
dateuseridcompidcofactorsres64PRP
2017-11-05ATHManual testing
1569999257
2859641503
33642841201
27622118338849
44746044152639
3717546288308441
32231866047212201
47914052741007287
2099328488697083689
578A3FAA575E15__no
2021-03-09Richard Thomasdjinn.pc
1569999257
2859641503
33642841201
27622118338849
44746044152639
3717546288308441
32231866047212201
47914052741007287
2099328488697083689
578A3FAA575E154Fno


P-1 factor-bounds graph:
B1 = 40000000, B2 = 12001588830 (P-1 stage 2)
B1 = 20000000, B2 = 2000000000 (P-1 stage 2)
B1 = 40000000 (P-1 stage 1)
B1 = 4000000, B2 = 400000000 (P-1 stage 2)
B1 = 20000000 (P-1 stage 1)
B1 = 1000000, B2 = 100000000 (P-1 stage 2)
B1 = 4000000 (P-1 stage 1)
B1 = 500000, B2 = 50000000 (P-1 stage 2)
B1 = 200000, B2 = 20000000 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 500000 (P-1 stage 1)
B1 = 200000 (P-1 stage 1)
100
101
102
103
104
105
106
107
108
100
101
102
103
104
105
106
107
108
109
1010
1011
TF factor-bounds graph:
276
275
274
273
272
271
270
269
268
267
266
265
262
260
258
2
this exponent TF target: 70
TF double-checked to: 67.9
ECM T-Level=0.58 ~= -15-bit
250
260
270
280
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Last modified: 2023-10-02T12:12:48+00:00