is 2 5977753 - 1
has 1799483 decimal digits
takes 1.059 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
Actual274640.017468.9189%5000000002751679230303,973.989617.8622%4,614.007074.4707%
Target2662.470665.1515%4000040000000.06572.3463%2.536365.9692%
Difference+8+637.5468+3.7674%+499960000+275163923030+3,973.9239+15.5159%+4,611.4707+8.5015%

Known prime factors (9 factors, 404.8 bits, 0.00677132% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
5977753430398217928.68136
22 × 32
-996.029e-122.313e-64.707e-6
597775367787719031032.658567
34 × 7
2008-09-0881811.075e-102.081e-54.236e-5
5977753110827540631133.368927
32 × 103
2008-09-0891032.298e-103.629e-64.707e-6
59777538456248948871239.62170731
32 × 29 × 271
2008-09-08292711.605e-81.084e-51.517e-5
597775369767909478791342.666583563
3 × 194521
2008-09-3031945211.286e-70.00270.0051
597775323418883680760091651.057195883668
22 × 32 × 31 × 175523
2014-06-17311755235.331e-50.00250.0046
5977753394699962182545211755.1323301407420
22 × 3 × 5 × 181 × 303997
2015-08-061813039970.00110.00430.0079
597775319999421829409089111960.795167282102735
5 × 11 × 139 × 21881243
2016-03-07139218812430.03460.30640.5722
597775320014593552072542231960.796167409004287
3 × 7 × 7971857347
2016-03-07779718573470.0312111.61208.46

502 Composite Factors:
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-05-04alpertronManual testing10000003000000012-
skipped known factor: 430398217
skipped known factor: 6778771903
skipped known factor: 11082754063
skipped known factor: 845624894887
skipped known factor: 6976790947879
skipped known factor: 2341888368076009
skipped known factor: 39469996218254521
skipped known factor: 1999942182940908911
--0.663--3.713%
2016-05-05alpertronManual testing1000000030000000012-
skipped known factor: 430398217
skipped known factor: 6778771903
skipped known factor: 11082754063
skipped known factor: 845624894887
skipped known factor: 6976790947879
skipped known factor: 2341888368076009
skipped known factor: 39469996218254521
skipped known factor: 1999942182940908911
--6.630--6.903%
2016-05-13alpertronManual testing50000000150000000012-
skipped known factor: 430398217
skipped known factor: 6778771903
skipped known factor: 11082754063
skipped known factor: 845624894887
skipped known factor: 6976790947879
skipped known factor: 2341888368076009
skipped known factor: 39469996218254521
skipped known factor: 1999942182940908911
--33.15--9.555%
2021-10-25Seth_TrManual testing20000000033200000000-
skipped known factor: 430398217
skipped known factor: 6778771903
skipped known factor: 11082754063
skipped known factor: 845624894887
skipped known factor: 6976790947879
skipped known factor: 2341888368076009
skipped known factor: 39469996218254521
skipped known factor: 1999942182940908911
skipped known factor: 2001459355207254223
--513.4--14.382%
2022-01-13Seth_TrManual testing500000000275167923030-
skipped known factor: 430398217
skipped known factor: 6778771903
skipped known factor: 11082754063
skipped known factor: 845624894887
skipped known factor: 6976790947879
skipped known factor: 2341888368076009
skipped known factor: 39469996218254521
skipped known factor: 1999942182940908911
skipped known factor: 2001459355207254223
--3,974--17.862%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-04-24alpertronManual testing50000000150000000065--39.42


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-09-08Will EdgingtonManual testing??33.368113.84108e-114.6101.67157e-10
2008-09-08Will EdgingtonManual testing??32.658101.17470e-114.6105.11207e-11
2008-09-08Will EdgingtonManual testing??39.621123.79484e-94.6101.65144e-8
2008-09-30markrManual testing??42.666133.06133e-84.6101.33223e-7
2014-06-17TJAOIManual testing??51.057163.12828e-64.6101.36134e-5
2015-01-08TJAOIManual testing255256*55.132170.0004.6090.001
2022-06-22LordJuliusManual testing2126033.368112.29843e-104.6101.00023e-9
2022-06-22LordJuliusManual testing2126051.057165.33112e-54.6100.000
2022-06-22LordJuliusManual testing2126055.132170.0014.6090.005
2022-06-22LordJuliusManual testing2126028.68196.02888e-124.6102.62365e-11
2022-06-22LordJuliusManual testing2126032.658101.07463e-104.6104.67660e-10
2022-06-22LordJuliusManual testing2126042.666131.28627e-74.6105.59759e-7
2022-06-22LordJuliusManual testing2126039.621121.60465e-84.6106.98314e-8
2016-03-07TJAOIManual testing260261*60.795190.0094.5590.038
2016-03-07TJAOIManual testing260261*60.796190.0054.5590.024
2022-11-29LordJuliusManual testing2126133.368112.29843e-104.6101.00023e-9
2022-11-29LordJuliusManual testing2126160.795190.0354.5590.149
2022-11-29LordJuliusManual testing2126160.796190.0314.5590.134
2022-11-29LordJuliusManual testing2126151.057165.33112e-54.6100.000
2022-11-29LordJuliusManual testing2126155.132170.0014.6090.005
2022-11-29LordJuliusManual testing2126128.68196.02888e-124.6102.62365e-11
2022-11-29LordJuliusManual testing2126132.658101.07463e-104.6104.67660e-10
2022-11-29LordJuliusManual testing2126142.666131.28627e-74.6105.59759e-7
2022-11-29LordJuliusManual testing2126139.621121.60465e-84.6106.98314e-8
2022-06-22LordJuliusManual testing261263--0.216--
2017-10-20BloodERazorManual testing263264--0.328--
2017-10-20BloodERazorManual testing264265--0.625--
2017-10-20BloodERazorManual testing265266--1.250--
2021-08-06Seth_TrManual testing266267--2.500--
2017-10-20BloodERazorManual testing267268--5.000--
2017-11-03ATHManual testing268269--10.00--
2017-11-03ATHManual testing269270--20.00--
2017-11-03ATHManual testing270271--40.00--
2017-11-04ATHManual testing271272--80.01--
2017-11-04ATHManual testing272273--160.0--
2017-11-04ATHManual testing273274--320.0--


ECM factoring results:
Total ECM effort:220.982 GHz-days
Estimated T-Level:26.143
DigitsB1CompleteFacMiss
201100020.1930.000%
25500002.4728.445%
302500000.22979.558%
3510000000.01798.276%
4030000000.00199.887%


ECM Summary

B1B2factorcurvesGHz-days
50000500000028075.46
25000025000000100134.7
1000000100000000210.78


Lucas-Lehmer results:
No L-L results for M5977753


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-29ATHManual testing
430398217
6778771903
11082754063
845624894887
6976790947879
2341888368076009
39469996218254521
1999942182940908911
2001459355207254223
42D31BF0933FAF__no
2018-02-13kkmrkkblmbrbkc5.large
430398217
6778771903
11082754063
845624894887
6976790947879
2341888368076009
39469996218254521
1999942182940908911
2001459355207254223
42D31BF0933FAF__no


P-1 factor-bounds graph:
B1 = 500000000, B2 = 275167923030 (P-1 stage 2)
B1 = 200000000, B2 = 33200000000 (P-1 stage 2)
B1 = 500000000 (P-1 stage 1)
B1 = 200000000 (P-1 stage 1)
B1 = 50000000, B2 = 1500000000 (P-1 stage 2)
B1 = 50000000 (P-1 stage 1)
B1 = 10000000, B2 = 300000000 (P-1 stage 2)
B1 = 10000000 (P-1 stage 1)
B1 = 1000000, B2 = 30000000 (P-1 stage 2)
B1 = 1000000 (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
TF factor-bounds graph:
274
273
272
271
270
269
268
267
266
265
264
263
261
260
256
2
this exponent TF target: 66
TF double-checked to: 67.9
ECM T-Level=26.14 ~= 70-bit
250
260
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280
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Last modified: 2023-10-02T12:12:48+00:00