is 2 757651 - 1
has 228076 decimal digits
takes 0.015 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
Actual2721,262.235172.2222%100000000010013806803001,607.365919.8408%2,869.601077.7336%
Target2440.000054.5455%1300025000000.004317.0148%0.004362.2795%
Difference+28+1,262.2350+17.6768%+999987000+1001378180300+1,607.3616+2.8260%+2,869.5967+15.4541%

Known prime factors (9 factors, 506.5 bits, 0.06685733% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
757651103464820571133.2686828
22 × 3 × 569
-45692.232e-91.007e-61.664e-6
757651462167110011135.42830500
22 × 53 × 61
2008-07-161251259.677e-93.620e-67.367e-6
75765111047892940483431649.973729088521
3 × 7 × 43 × 807407
2014-05-16438074070.00010.00130.0024
75765111651914562316791650.049768949989
3 × 256316663
2014-05-1932563166630.00030.40440.7553
75765156958374801553111652.3393758879405
5 × 751775881
2014-08-0557517758810.00101.18622.2154
75765155220455504747447991962.2603644188122549
3 × 13 × 19 × 97 × 50700337
2015-11-1397507003371.99130.08000.1494
757651187562758342591098492064.02412377912676324
22 × 3 × 13 × 17 × 83 × 56233589
2015-11-1383562335899.5910.08870.1657
757651488806745124768055661512375.37232258041309571825
52 × 11 × 23 × 47 × 108512459203
2017-01-014710851245920318,636171.21319.78
757651172224898110831557667577032683.83211365714432557441201
3 × 7 × 110419 × 4901552239999
2015-11-1311041949015522399993,067,3867,733.714,444

502 Composite Factors:
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-03-17alpertronManual testing5000001500000012-
skipped known factor: 10346482057
skipped known factor: 46216711001
skipped known factor: 1104789294048343
--0.037--2.745%
2017-11-25ATHManual testing2000000001000000000012-
skipped known factor: 10346482057
skipped known factor: 46216711001
skipped known factor: 1104789294048343
skipped known factor: 1165191456231679
skipped known factor: 5695837480155311
skipped known factor: 5522045550474744799
skipped known factor: 18756275834259109849
--21.25--12.406%
2021-03-05Seth_TrManual testing26000000044460000000-
skipped known factor: 10346482057
skipped known factor: 46216711001
skipped known factor: 1104789294048343
skipped known factor: 1165191456231679
skipped known factor: 5695837480155311
skipped known factor: 5522045550474744799
skipped known factor: 18756275834259109849
--77.27--14.629%
2021-06-18Seth_TrManual testing1000000000211000000000-
skipped known factor: 10346482057
skipped known factor: 46216711001
skipped known factor: 1104789294048343
skipped known factor: 1165191456231679
skipped known factor: 5695837480155311
skipped known factor: 5522045550474744799
skipped known factor: 18756275834259109849
skipped known factor: 48880674512476805566151
--360.3--17.567%
2021-12-22Seth_TrManual testing10000000001001380680300-
skipped known factor: 10346482057
skipped known factor: 46216711001
skipped known factor: 1104789294048343
skipped known factor: 1165191456231679
skipped known factor: 5695837480155311
skipped known factor: 5522045550474744799
skipped known factor: 18756275834259109849
skipped known factor: 48880674512476805566151
--1,607--19.841%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-10-01nordisweet161000000001000000000027--19.71
2021-10-13nordisweet161000000001000000000065--19.71


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-07-16J FeitsmaManual testing??35.428113.63536e-90.0317.54650e-9
2014-05-16TJAOIManual testing??49.973163.64440e-50.0317.56454e-5
2014-05-19TJAOIManual testing??50.049167.75159e-50.0310.000
2014-08-05TJAOIManual testing??52.339160.0000.0310.000
2022-11-17LordJuliusManual testing2126033.268112.23221e-90.0314.63377e-9
2022-11-17LordJuliusManual testing2126049.973160.0000.0310.000
2022-11-17LordJuliusManual testing2126050.049160.0000.0310.001
2022-11-17LordJuliusManual testing2126035.428119.67685e-90.0312.00878e-8
2022-11-17LordJuliusManual testing2126052.339160.0010.0310.002
2022-11-17LordJuliusManual testing260261--0.203--
2017-11-02ATHManual testing253262--0.809--
2022-11-17LordJuliusManual testing261262--0.405--
2022-03-07LordJuliusManual testing26226362.260191.1800.0312.450
2017-11-02ATHManual testing263264--2.591--
2022-03-07LordJuliusManual testing26426564.024204.8930.03110.16
2017-11-02ATHManual testing265266--9.86--
2017-11-02ATHManual testing266267--19.73--
2017-11-02ATHManual testing267268--39.45--
2017-11-02ATHManual testing268269--78.90--
2017-11-02ATHManual testing269270--157.8--
2017-11-02ATHManual testing270271--315.6--
2018-02-26KrieselManual testing271272--631.2--


ECM factoring results:
Total ECM effort:786.206 GHz-days
Estimated T-Level:34.711
DigitsB1CompleteFacMiss
2011000217.9420.000%
255000045.1980.000%
302500007.1610.078%
3510000000.94238.978%
4030000000.10689.960%
45110000000.01098.977%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002124.817
50000500000070.159
50000500000010.023
500005000000611.386
15000030000000181.662
2500005000000040061.57
1000000100000000500227.2
1000000167875152250141.0
3000000519000000190326.1
30000005280000001017.31
11000000110000000014.999


Lucas-Lehmer results:
No L-L results for M757651


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-27Oliver KruseDoppelherz
10346482057
46216711001
1104789294048343
1165191456231679
5695837480155311
5522045550474744799
18756275834259109849
48880674512476805566151
17222489811083155766757703
11D09411AC735A01no
2017-10-05Oliver KruseManual testing
10346482057
46216711001
1104789294048343
1165191456231679
5695837480155311
5522045550474744799
18756275834259109849
48880674512476805566151
17222489811083155766757703
11D09411AC735A__no
2017-10-13Oliver KruseThreadripper11D09411AC735A__no
2017-12-17ATHec2-1xf
10346482057
46216711001
1104789294048343
1165191456231679
5695837480155311
5522045550474744799
18756275834259109849
48880674512476805566151
17222489811083155766757703
11D09411AC735A__no
2020-04-20Oliver KruseAddPrpType5
10346482057
46216711001
1104789294048343
1165191456231679
5695837480155311
5522045550474744799
18756275834259109849
48880674512476805566151
17222489811083155766757703
6D09C6F05B297C__no


P-1 factor-bounds graph:
B1 = 1000000000, B2 = 1001380680300 (P-1 stage 2)
B1 = 1000000000, B2 = 211000000000 (P-1 stage 2)
B1 = 260000000, B2 = 44460000000 (P-1 stage 2)
B1 = 1000000000 (P-1 stage 1)
B1 = 200000000, B2 = 10000000000 (P-1 stage 2)
B1 = 260000000 (P-1 stage 1)
B1 = 200000000 (P-1 stage 1)
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
100
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102
103
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105
106
107
108
109
100
101
102
103
104
105
106
107
108
109
1010
1011
1012
1013
TF factor-bounds graph:
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271
270
269
268
267
266
265
264
263
262
261
260
2
this exponent TF target: 44
TF double-checked to: 67.9
ECM T-Level=34.71 ~= 99-bit
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2100
Last modified: 2023-09-25T11:53:03+00:00