is 2 1724861 - 1
has 519235 decimal digits
takes 0.081 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LF6659BFCD0E59B24double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26717.226868.6567%36422001234567890.69408.6236%17.920971.3596%2.7029%
PrimeNet2570.011163.1579%80001400000.00102.7948%0.012264.1876%1.0297%
GPU722610.178165.5738%70001100000.00091.3445%0.179066.0366%0.4629%
Difference+6+17.0488+3.0829%+3635200+123346789+0.6931+7.2791%+17.7419+5.3230%+5.3230%

Known prime factors (1 factor, 91.3 bits, 0.00529319% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
172486130486460232547149307223799212891.300883736725236037840360
23 × 5 × 65011 × 2799409 × 121397491
2015-08-292799409121397491550,015,7180.63200.8430

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2011-02-09T06:20:00Carsten Kossendeyleela900001507500---0.011--2.357%
2014-04-04T00:13:00Jocelyn LaroucheManual testing100000100000---0.007--0.885%
2014-05-04T12:46:00Jocelyn LaroucheManual testing150000150000---0.010--1.111%
2014-10-01T22:53:00Jocelyn LaroucheManual testing187211187211---0.013--1.248%
2015-01-09T22:25:00Jocelyn LaroucheManual testing280816280816---0.019--1.525%
2015-02-11T12:22:00Jocelyn LaroucheManual testing373764373764---0.026--1.741%
2015-02-22T09:50:00Jocelyn LaroucheManual testing411140411140---0.028--1.816%
2015-03-06T12:09:00Jocelyn LaroucheManual testing452254452254---0.031--1.894%
2015-03-14T11:30:00Jocelyn LaroucheManual testing497479497479---0.034--1.973%
2015-04-08T16:59:00Jocelyn LaroucheManual testing601948601948---0.041--2.137%
2015-05-01T17:20:00Jocelyn LaroucheManual testing728356728356---0.050--2.309%
2015-05-07T16:18:00Jocelyn LaroucheManual testing801191801191---0.055--2.397%
2015-05-22T00:28:00Jocelyn LaroucheManual testing881310881310---0.060--2.488%
2015-05-26T18:16:00Jocelyn LaroucheManual testing969441969441---0.066--2.580%
2015-06-08T13:43:00Jocelyn LaroucheManual testing10663851066385---0.073--2.674%
2015-06-25T21:15:00Jocelyn LaroucheManual testing11730231173023---0.080--2.770%
2015-07-07T18:13:00Jocelyn LaroucheManual testing12903251290325---0.088--2.867%
2015-07-21T01:19:00Jocelyn LaroucheManual testing14193571419357---0.097--2.967%
2015-07-24T22:03:00Jocelyn LaroucheManual testing15612921561292---0.107--3.068%
2015-08-29T20:12:00mikrMSI3642200123456789122891.3000.6940.1621.3888.624%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2003-02-02T00:00:00ANONYMOUSv4_computers21258--0.022--
2010-04-25T02:50:00Architects Cubedm1_76l260261--0.089--
2010-10-27T20:37:00GrunwalderGIMPManual testing21263--0.925--
2015-05-04T00:34:00snme2pm1Manual testing263264--1.138--
2015-05-04T00:34:00snme2pm1Manual testing264265--2.166--


ECM factoring results:

Old Calculation Method

Total ECM effort:15.121 GHz-days
Estimated T-Level:24.536
DigitsB1CurvesCompleteFacMiss
2011000254 / 1002.5407.786%
2550000254 / 2800.90740.302%

New Calculation Method

Total ECM effort:15.121 GHz-days
Estimated T-Level:24.536
DigitsB1CompleteFacMiss
20110008.1940.028%
25500000.74147.686%
302500000.04695.542%
3510000000.00299.791%


ECM Summary

B1B2factorcurvesGHz-days
50000500000025415.12


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-11-28T00:00:00ANONYMOUSv4_computersF6659BFCD0E59B240.081
2015-07-18T19:04:00MadPooManual testingF6659BFCD0E59B240.081


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-30T15:25:03alpertronManual testing
3048646023254714930722379921
721CA2CA691808__no
2017-10-19T05:11:14Oliver KruseThreadripper
3048646023254714930722379921
721CA2CA691808__no


P-1 factor-bounds graph:
B1 = 3642200, B2 = 123456789 (P-1 stage 2)
B1 = 3642200 (P-1 stage 1)
B1 = 1561292 (P-1 stage 1)
B1 = 1419357 (P-1 stage 1)
B1 = 1290325 (P-1 stage 1)
B1 = 1173023 (P-1 stage 1)
B1 = 1066385 (P-1 stage 1)
B1 = 969441 (P-1 stage 1)
B1 = 881310 (P-1 stage 1)
B1 = 801191 (P-1 stage 1)
B1 = 728356 (P-1 stage 1)
B1 = 601948 (P-1 stage 1)
B1 = 497479 (P-1 stage 1)
B1 = 452254 (P-1 stage 1)
B1 = 411140 (P-1 stage 1)
B1 = 373764 (P-1 stage 1)
B1 = 280816 (P-1 stage 1)
B1 = 187211 (P-1 stage 1)
B1 = 90000, B2 = 1507500 (P-1 stage 2)
B1 = 150000 (P-1 stage 1)
B1 = 100000 (P-1 stage 1)
B1 = 90000 (P-1 stage 1)
103
104
105
106
107
103
104
105
106
107
108
109
TF factor-bounds graph:
267
265
264
263
261
258
250
260
270
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290
2100
Last modified: 2020-05-25T09:37:34+00:00