is 2 9532331 - 1
has 2869518 decimal digits
takes 2.635 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
Actual2773,210.984368.8312%2000000003020335649106,670.604815.2858%9,881.589173.5956%
Target2686.252964.7059%6000014000000.05332.4653%6.306265.5760%
Difference+9+3,204.7314+4.1253%+199940000+302032164910+6,670.5515+12.8205%+9,875.2829+8.0196%

Known prime factors (9 factors, 408.3 bits, 0.00428280% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
953233119064663824.1841
1
-112.345e-134.008e-78.156e-7
953233176258649826.1844
22
2008-09-08449.387e-131.603e-63.262e-6
9532331762586481929.50640
23 × 5
2008-09-08887.568e-123.206e-66.525e-6
953233129740872731031.470156
22 × 3 × 13
2008-09-084133.103e-111.800e-63.262e-6
9532331260995222791134.6031369
372
2008-09-08136913693.112e-100.00050.0011
9532331202157601539083991754.1661060378629
3 × 3889 × 90887
2014-11-083889908870.00030.00350.0037
95323313366838527332529111858.22417660100805
5 × 3532020161
2015-08-19535320201610.006677.121144.04
953233146984648090200495531962.027246448891096
23 × 29 × 89 × 11935727
2016-06-2189119357270.14910.26060.4868
95323312857496787954605451685536892787.88514988447148733113924
22 × 112 × 17 × 19 × 37 × 179 × 111127 × 130267
2020-09-021111271302673,632,5310.04500.0906

502 Composite Factors:
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2020-09-02ViliamFManual testing2000000020000000106350.0268.0155.26916.033.276%
2021-02-21Seth_TrManual testing1000000001000000000012-
skipped known factor: 19064663
skipped known factor: 76258649
skipped known factor: 762586481
skipped known factor: 2974087273
skipped known factor: 26099522279
skipped known factor: 20215760153908399
skipped known factor: 336683852733252911
skipped known factor: 4698464809020049553
skipped known factor: 285749678795460545168553689
--256.2--10.670%
2021-12-09Seth_TrManual testing20000000030200000000-
skipped known factor: 19064663
skipped known factor: 76258649
skipped known factor: 762586481
skipped known factor: 2974087273
skipped known factor: 26099522279
skipped known factor: 20215760153908399
skipped known factor: 336683852733252911
skipped known factor: 4698464809020049553
skipped known factor: 285749678795460545168553689
--735.2--12.410%
2021-12-17Seth_TrManual testing200000000302033564910-
skipped known factor: 19064663
skipped known factor: 76258649
skipped known factor: 762586481
skipped known factor: 2974087273
skipped known factor: 26099522279
skipped known factor: 20215760153908399
skipped known factor: 336683852733252911
skipped known factor: 4698464809020049553
skipped known factor: 285749678795460545168553689
--6,671--15.286%
2022-03-13Seth_TrManual testing40000000040004485950-
skipped known factor: 19064663
skipped known factor: 76258649
skipped known factor: 762586481
skipped known factor: 2974087273
skipped known factor: 26099522279
skipped known factor: 20215760153908399
skipped known factor: 336683852733252911
skipped known factor: 4698464809020049553
skipped known factor: 285749678795460545168553689
--1,025--13.117%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-09-08Will EdgingtonManual testing??34.603117.11452e-1111.583.12583e-10
2008-09-08Will EdgingtonManual testing??31.470101.01339e-1211.584.45242e-12
2008-09-08Will EdgingtonManual testing??29.50696.49610e-1411.582.85412e-13
2008-09-08Will EdgingtonManual testing??26.18488.12012e-1611.583.56765e-15
2014-11-08TJAOIManual testing254255*54.166174.62647e-511.570.000
2015-08-19TJAOIManual testing258259*58.224180.00311.570.011
2022-04-09LordJuliusManual testing2126153.691170.00011.580.001
2022-04-09LordJuliusManual testing2126124.18482.34519e-1311.581.03038e-12
2022-04-09LordJuliusManual testing2126131.470103.10254e-1111.581.36313e-10
2022-04-09LordJuliusManual testing2126129.50697.56795e-1211.583.32505e-11
2022-04-09LordJuliusManual testing2126126.18489.38686e-1311.584.12420e-12
2022-04-09LordJuliusManual testing2126150.369161.89125e-511.588.30937e-5
2022-04-09LordJuliusManual testing2126160.788190.02111.540.091
2022-04-09LordJuliusManual testing2126154.166170.00011.570.001
2022-04-09LordJuliusManual testing2126157.654180.00311.570.012
2022-04-09LordJuliusManual testing2126134.603113.11241e-1011.581.36746e-9
2022-04-09LordJuliusManual testing2126155.691170.00111.570.002
2022-04-09LordJuliusManual testing2126160.976190.02211.540.098
2022-04-09LordJuliusManual testing2126158.224180.00711.570.029
2022-04-09LordJuliusManual testing2126158.788180.00611.570.027
2022-04-09LordJuliusManual testing2126155.654170.00111.570.004
2017-10-20BloodERazorManual testing261262--0.032--
2016-06-21TJAOIManual testing262263*62.027190.08511.410.366
2017-10-20BloodERazorManual testing263264--0.206--
2022-04-09LordJuliusManual testing2126453.691170.00011.580.001
2022-04-09LordJuliusManual testing2126450.369161.89125e-511.588.30937e-5
2022-04-09LordJuliusManual testing2126424.18482.34519e-1311.581.03038e-12
2022-04-09LordJuliusManual testing2126460.788190.02111.540.091
2022-04-09LordJuliusManual testing2126454.166170.00011.570.001
2022-04-09LordJuliusManual testing2126460.976190.02211.540.098
2022-04-09LordJuliusManual testing2126457.654180.00311.570.012
2022-04-09LordJuliusManual testing2126434.603113.11241e-1011.581.36746e-9
2022-04-09LordJuliusManual testing2126431.470103.10254e-1111.581.36313e-10
2022-04-09LordJuliusManual testing2126458.224180.00711.570.029
2022-04-09LordJuliusManual testing2126462.027190.14911.410.645
2022-04-09LordJuliusManual testing2126458.788180.00611.570.027
2022-04-09LordJuliusManual testing2126455.654170.00111.570.004
2022-04-09LordJuliusManual testing2126455.691170.00111.570.002
2022-04-09LordJuliusManual testing2126429.50697.56795e-1211.583.32505e-11
2022-04-09LordJuliusManual testing2126426.18489.38686e-1311.584.12420e-12
2022-04-09James HeinrichManual testing264265--0.392--
2022-04-09LordJuliusManual testing264265--0.392--
2017-10-20BloodERazorManual testing265266--0.784--
2021-08-06Seth_TrManual testing266267--1.568--
2017-10-20BloodERazorManual testing267268--3.136--
2019-12-07Seth_TrManual testing268269--6.271--
2019-12-10Seth_TrManual testing269270--12.54--
2019-12-15Seth_TrManual testing270271--25.09--
2020-01-03Seth_TrManual testing271272--50.17--
2020-09-03ViliamFManual testing272273--100.3--
2020-09-03ViliamFManual testing273274--200.7--
2020-11-02ViliamFManual testing274275--401.4--
2020-11-02ViliamFManual testing275276--802.8--
2020-11-02ViliamFManual testing276277--1,606--


ECM factoring results:
Total ECM effort:86.497 GHz-days
Estimated T-Level:22.743
DigitsB1CompleteFacMiss
20110004.5411.066%
25500000.54957.778%
302500000.05294.914%
3510000000.00499.596%


ECM Summary

B1B2factorcurvesGHz-days
5000050000010023.21
250000351673642050.53
25000035750000512.76


Lucas-Lehmer results:
No L-L results for M9532331


PRP results:
dateuseridcompidcofactorsres64PRP
2017-11-08ATHec2-1xd
19064663
76258649
762586481
2974087273
26099522279
20215760153908399
336683852733252911
4698464809020049553
25B77E9652508C__no
2018-02-01kkmrkkblmbrbkc4.xlarge
19064663
76258649
762586481
2974087273
26099522279
20215760153908399
336683852733252911
4698464809020049553
25B77E9652508C__no
2020-09-02ViliamF3
19064663
76258649
762586481
2974087273
26099522279
20215760153908399
336683852733252911
4698464809020049553
285749678795460545168553689
25B77E9652508CDDno


P-1 factor-bounds graph:
B1 = 200000000, B2 = 302033564910 (P-1 stage 2)
B1 = 400000000, B2 = 40004485950 (P-1 stage 2)
B1 = 200000000, B2 = 30200000000 (P-1 stage 2)
B1 = 100000000, B2 = 10000000000 (P-1 stage 2)
B1 = 400000000 (P-1 stage 1)
B1 = 200000000 (P-1 stage 1)
B1 = 100000000 (P-1 stage 1)
B1 = 20000000 (P-1 stage 1)
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TF factor-bounds graph:
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2
this exponent TF target: 68
TF double-checked to: 67.7
ECM T-Level=22.74 ~= 59-bit
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Last modified: 2023-03-23T17:39:31+00:00