is 2 1259 - 1
has 379 decimal digits
takes 0.000 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
-unknown- primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26723,601.205483.5821%100000000000022328434186491294782,876,234.795343.4068%2,899,836.000690.7086%7.1265%
PrimeNet2400.000172.5000%500100000.00001.7047%0.000172.9688%0.4688%
GPU722440.001975.0000%500100000.00000.6536%0.001975.1634%0.1634%
Difference+23+23,601.2035+8.5821%+999999999500+2232843418649119478+2,876,234.7953+42.7533%+2,899,835.9988+15.5452%+15.5452%

Known prime factors (2 factors, 232.7 bits, 18.48326541% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
12598759659659041531549.638347881638564
22 × 34 × 1073708761
-8110737087610.11710.00140.0026
125912837801903260418659222502180271368969172790209999
210831
56183.06650984121935108890624394369262396223070582963502776
85

34 × 5 × 11 × 13 × 31 × 233 × 4559558141 × 2673028016112269107066377666662173
2014-05-21455955814126730280161122691070663776666621731.184e+143.443e+216.431e+21

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
125911245477544275686381368462584048016694751397495628
997151556783385481143
71232.704
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-09-07T20:58:12kkmrkkblmbrbkManual testing100000000010000000000012-
skipped known factor: 875965965904153
--0.151--14.639%
2021-03-27T16:37:19nordiManual testing10000000000002232843418649129478-
skipped known factor: 875965965904153
--2,876,235--43.407%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-07-19T08:13:09ViliamF3100000000022100000000027--0.314


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2005-01-20T00:00:00ANONYMOUSv4_computers??49.638150.0586.51162e-80.183
2009-10-25T00:00:00Carsten Kossendeyv4_computers??49.638150.0586.51162e-80.183


ECM factoring results:

Old Calculation Method

Total ECM effort:51,917.892 GHz-days
Estimated T-Level:56.803
DigitsB1CurvesCompleteFacMiss
2011000108927 / 1001,089.2700.000%
2550000108927 / 280389.0250.000%
30250000108926 / 640170.1970.000%
351000000108286 / 158068.5350.000%
403000000108286 / 470023.0400.000%
451100000081786 / 97008.4320.022%
504400000081786 / 171004.7830.837%
5511000000067966 / 465001.46223.185%
6026000000040380 / 1120000.36169.730%
6580000000025912 / 3600000.07293.055%

New Calculation Method

Total ECM effort:51,917.892 GHz-days
Estimated T-Level:56.803
DigitsB1CompleteFacMiss
201100041,545.5320.000%
255000019,011.3240.000%
302500006,504.4050.000%
3510000001,969.1050.000%
403000000523.3750.000%
4511000000125.7650.000%
504400000027.4030.000%
551100000005.5180.402%
602600000001.03735.451%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
250000250000006400.054
44000000440000000012,145181.8
100000000100000000001,67556.99
11000000011000000026,500672.4
110000000110000000009,085340.0
11000000079461286906618,50016,735
260000000260000000009,928878.2
26000000031784628876164,40015,739
5000000005000000000014023.82
8500000008500000000018,1445,247
29000000002900000000005,0204,953
50000000005000000000002034.02
76000000007600000000002,7287,054
various22.2592


Lucas-Lehmer results:
No L-L results for M1259


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-25T08:10:49csabaofficeEBCA1555A98ECA__?
2017-09-27T07:34:22Oliver KruseManual testing
875965965904153
12837801903260418659222502180271368969172790209999
210831
EBCA1555A98ECA__no
2017-10-09T00:32:43Chang Chia-TchehomuraEBCA1555A98ECA__?
2017-10-12T13:29:14kkmrkkblmbrbkManual testing
875965965904153
12837801903260418659222502180271368969172790209999
210831
EBCA1555A98ECA__no
2020-04-17T12:30:31Oliver KruseIOS-1
875965965904153
12837801903260418659222502180271368969172790209999
210831
E62CA18111138404no
2020-08-12T10:14:44_p95holder_TFL16_PRPt11-E_b
875965965904153
12837801903260418659222502180271368969172790209999
210831
E62CA18111138404no


P-1 factor-bounds graph:
B1 = 1000000000000, B2 = 2232843418649129478 (P-1 stage 2)
B1 = 1000000000000 (P-1 stage 1)
B1 = 1000000000, B2 = 100000000000 (P-1 stage 2)
B1 = 1000000000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2021-10-02T01:54:36+00:00