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:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
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
---4.894%
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
---6.458%
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
---7.746%
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
---10.493%
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
---13.811%
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
--1,13916.946%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2024-01-28masserAragorn50000350000027--0.349


Trial Factoring results:
5758596061626364656667686970717273747576
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2008-09-08Will EdgingtonManual testing??
31.413
10
2008-09-08Will EdgingtonManual testing??
34.970
11
2008-10-01markrManual testing??
44.651
14
2008-10-01markrManual testing??
45.347
14
2014-07-09TJAOIManual testing??
51.723
16
3.82742e-6
2014-08-19pdazzlManual testing250262
54.839
55.411
60.865
17
17
19
0.010
2022-06-26LordJuliusManual testing260262
skipped known factors(?)
2021-08-06Seth_TrManual testing266267
2019-06-20Seth_TrManual testing267268
2019-12-04Seth_TrManual testing268270
2017-11-07ATHManual testing262276


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:
dateuseridcompidcofactorsres64
2017-11-05ATHManual testing
1569999257
2859641503
33642841201
27622118338849
44746044152639
3717546288308441
32231866047212201
47914052741007287
2099328488697083689
578A3FAA575E154F
2021-03-09Richard Thomasdjinn.pc
1569999257
2859641503
33642841201
27622118338849
44746044152639
3717546288308441
32231866047212201
47914052741007287
2099328488697083689
578A3FAA575E154F


CERT results:
dateuseridcompid
2021-03-09Ben Deloi-02c31eb97762e129f


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
270
268
267
262
this exponent TF target: 70
TF double-checked to: 67
ECM T-Level=0.58 ~= -15-bit
250
260
270
280
JSON version of this page
Last modified: 2024-03-13T02:15:48+00:00