is 2 31866377 - 1
has 9592736 decimal digits
takes 35.075 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
Actual277960.516067.5325%300000003001022640306.22519.5121%1,266.741170.6208%
Target27115.002664.7887%220000325000003.15803.7022%18.160666.0923%
Difference+6+945.5134+2.7437%+29780000+2968522640+303.0670+5.8099%+1,248.5805+4.5285%

Known prime factors (9 factors, 429.4 bits, 0.00134739% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
31866377191198263927.5103
3
-135.615e-131.770e-63.248e-6
31866377446129279928.7337
7
2008-09-09171.124e-122.118e-63.248e-6
31866377379582085583371445.109595584
27 × 32 × 11 × 47
2008-10-011281282.816e-70.00020.0004
31866377795723828171291446.1771248532
22 × 23 × 41 × 331
2008-10-01413313.663e-79.065e-50.0001
318663779033322494730091549.68214173752
23 × 3 × 590573
2014-05-0885905734.499e-60.05140.0959
3186637718573521779262811650.72229142820
22 × 5 × 7 × 43 × 47 × 103
2014-06-06471039.271e-67.988e-50.0002
3186637712220462834566396731960.08419174540668
22 × 3 × 727 × 2197907
2016-01-1172721979070.00710.19220.3570
3186637713100408826042777111960.18420555221615
5 × 31 × 10627 × 12479
2016-01-1910627124790.00560.01710.0345
3186637725797033836446240871961.16240476885459
3 × 29 × 73 × 6373309
2016-04-067363733090.01560.55431.0351

502 Composite Factors:
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2019-12-08Seth_TrManual testing2000002000000012-
skipped known factor: 191198263
skipped known factor: 446129279
skipped known factor: 37958208558337
skipped known factor: 79572382817129
skipped known factor: 903332249473009
skipped known factor: 1857352177926281
skipped known factor: 1222046283456639673
skipped known factor: 1310040882604277711
skipped known factor: 2579703383644624087
--2.041--2.369%
2019-12-12Seth_TrManual testing5000005000000012-
skipped known factor: 191198263
skipped known factor: 446129279
skipped known factor: 37958208558337
skipped known factor: 79572382817129
skipped known factor: 903332249473009
skipped known factor: 1857352177926281
skipped known factor: 1222046283456639673
skipped known factor: 1310040882604277711
skipped known factor: 2579703383644624087
--5.102--3.365%
2019-12-13Seth_TrManual testing100000010000000012-
skipped known factor: 191198263
skipped known factor: 446129279
skipped known factor: 37958208558337
skipped known factor: 79572382817129
skipped known factor: 903332249473009
skipped known factor: 1857352177926281
skipped known factor: 1222046283456639673
skipped known factor: 1310040882604277711
skipped known factor: 2579703383644624087
--10.20--4.224%
2019-12-20Seth_TrManual testing100000010000000012-
skipped known factor: 191198263
skipped known factor: 446129279
skipped known factor: 37958208558337
skipped known factor: 79572382817129
skipped known factor: 903332249473009
skipped known factor: 1857352177926281
skipped known factor: 1222046283456639673
skipped known factor: 1310040882604277711
skipped known factor: 2579703383644624087
--10.20--4.224%
2019-12-30Seth_TrManual testing20000000200000000012-
skipped known factor: 191198263
skipped known factor: 446129279
skipped known factor: 37958208558337
skipped known factor: 79572382817129
skipped known factor: 903332249473009
skipped known factor: 1857352177926281
skipped known factor: 1222046283456639673
skipped known factor: 1310040882604277711
skipped known factor: 2579703383644624087
--204.1--8.811%
2021-12-29Seth_TrManual testing300000003001022640-
skipped known factor: 191198263
skipped known factor: 446129279
skipped known factor: 37958208558337
skipped known factor: 79572382817129
skipped known factor: 903332249473009
skipped known factor: 1857352177926281
skipped known factor: 1222046283456639673
skipped known factor: 1310040882604277711
skipped known factor: 2579703383644624087
--306.2--9.512%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-09-09Will EdgingtonManual testing??28.73391.70031e-1586.054.17137e-15
2008-10-01markrManual testing??45.109141.34482e-786.053.29924e-7
2008-10-01markrManual testing??46.177147.20801e-886.051.76835e-7
2014-05-08TJAOIManual testing??49.682152.14559e-686.055.26379e-6
2014-06-06TJAOIManual testing??50.722164.56422e-686.051.11974e-5
2016-01-11TJAOIManual testing260261*60.084190.00286.040.006
2016-01-19TJAOIManual testing260261*60.184190.00186.040.002
2016-04-06TJAOIManual testing261262*61.162190.00686.030.015
2022-11-17LordJuliusManual testing2126260.084190.00786.040.017
2022-11-17LordJuliusManual testing2126260.184190.00686.040.014
2022-11-17LordJuliusManual testing2126250.722169.27108e-686.052.27448e-5
2022-11-17LordJuliusManual testing2126227.51095.61465e-1386.051.37745e-12
2022-11-17LordJuliusManual testing2126261.162190.01686.030.038
2022-11-17LordJuliusManual testing2126245.109142.81571e-786.056.90779e-7
2022-11-17LordJuliusManual testing2126228.73391.12390e-1286.052.75728e-12
2022-11-17LordJuliusManual testing2126246.177143.66258e-786.058.98544e-7
2022-11-17LordJuliusManual testing2126256.243170.00086.050.001
2022-11-17LordJuliusManual testing2126249.682154.49902e-686.051.10375e-5
2017-11-08ATHManual testing262266--0.444--
2017-03-26Ducho_YYZManual testing266267--0.469--
2019-06-17Seth_TrManual testing266267--0.469--
2017-03-26Ducho_YYZManual testing267268--0.938--
2019-06-20Seth_TrManual testing267268--0.938--
2017-03-26Ducho_YYZManual testing268269--1.876--
2019-12-03Seth_TrManual testing268269--1.876--
2017-03-26Ducho_YYZManual testing269270--3.752--
2019-12-07Seth_TrManual testing269270--3.752--
2017-03-26Ducho_YYZManual testing270271--7.504--
2019-12-04Seth_TrManual testing270271--7.504--
2017-03-26Ducho_YYZManual testing271272--15.01--
2017-11-08ATHManual testing272273--30.02--
2017-11-08ATHManual testing273274--60.03--
2017-11-08ATHManual testing274275--120.1--
2017-11-09ATHManual testing275276--240.1--
2020-01-03Seth_TrManual testing276277--480.3--


ECM factoring results:
Total ECM effort:5.021 GHz-days
Estimated T-Level:0.577
DigitsB1CompleteFacMiss
20110000.11589.102%
25500000.01198.938%


ECM Summary

B1B2factorcurvesGHz-days
50000500000035.021


Lucas-Lehmer results:
No L-L results for M31866377


PRP results:
dateuseridcompidcofactorsres64PRP
2017-11-07ATHManual testing
191198263
446129279
37958208558337
79572382817129
903332249473009
1857352177926281
1222046283456639673
1310040882604277711
2579703383644624087
8FCCE615CB3565__no
2019-11-15Bommer3900X
191198263
446129279
37958208558337
79572382817129
903332249473009
1857352177926281
1222046283456639673
1310040882604277711
2579703383644624087
8FCCE615CB3565A3no


P-1 factor-bounds graph:
B1 = 30000000, B2 = 3001022640 (P-1 stage 2)
B1 = 20000000, B2 = 2000000000 (P-1 stage 2)
B1 = 30000000 (P-1 stage 1)
B1 = 20000000 (P-1 stage 1)
B1 = 1000000, B2 = 100000000 (P-1 stage 2)
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
TF factor-bounds graph:
277
276
275
274
273
272
271
270
269
268
267
266
262
261
2
this exponent TF target: 71
TF double-checked to: 67.9
ECM T-Level=0.58 ~= -15-bit
250
260
270
280
JSON version of this page
Last modified: 2023-10-02T12:12:48+00:00