is 2 1723903 - 1
has 518947 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-L63FA21C47B7D7F3Adouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26717.236468.6567%117315311731530.08012.7697%17.316569.5248%0.8681%
PrimeNet2570.011163.1579%80001400000.00102.7945%0.012264.1874%1.0296%
GPU722610.178265.5738%70001100000.00091.3443%0.179066.0366%0.4628%
Difference+6+17.0582+3.0829%+1166153+1063153+0.0792+1.4254%+17.1374+3.4883%+3.4883%

Known prime factors (1 factor, 65.6 bits, 0.00380417% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1723903551570734106202545512065.58015997731139925
52 × 7537 × 84902381
2015-07-037537849023818.34640.31610.5896

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2011-02-02T14:16:00Carsten 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 testing187232187232---0.013--1.248%
2015-01-09T22:25:00Jocelyn LaroucheManual testing280848280848---0.019--1.525%
2015-02-11T12:22:00Jocelyn LaroucheManual testing373807373807---0.026--1.741%
2015-02-22T09:50:00Jocelyn LaroucheManual testing411187411187---0.028--1.816%
2015-03-06T12:09:00Jocelyn LaroucheManual testing452305452305---0.031--1.894%
2015-03-14T11:30:00Jocelyn LaroucheManual testing497535497535---0.034--1.973%
2015-04-08T16:59:00Jocelyn LaroucheManual testing602016602016---0.041--2.137%
2015-05-01T17:20:00Jocelyn LaroucheManual testing728438728438---0.050--2.309%
2015-05-07T16:18:00Jocelyn LaroucheManual testing801281801281---0.055--2.397%
2015-05-22T00:28:00Jocelyn LaroucheManual testing881409881409---0.060--2.488%
2015-05-26T18:16:00Jocelyn LaroucheManual testing969549969549---0.066--2.580%
2015-06-08T13:43:00Jocelyn LaroucheManual testing10665031066503---0.073--2.674%
2015-06-25T21:15:00Jocelyn LaroucheManual testing11731531173153---0.080--2.770%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-11-21T00:00:00ANONYMOUSv4_computers21257--0.011--
2003-02-02T00:00:00ANONYMOUSv4_computers21258--0.022--
2010-04-24T12:42:00Architects Cubedm1_76l260261--0.089--
2010-10-27T20:37:00GrunwalderGIMPManual testing21263--0.926--
2015-05-03T21:57:00snme2pm1Manual testing263264--1.139--
2015-05-03T21:57:00snme2pm1Manual testing264265--2.167--


ECM factoring results:

Old Calculation Method

Total ECM effort:14.942 GHz-days
Estimated T-Level:24.482
DigitsB1CurvesCompleteFacMiss
2011000251 / 1002.5108.025%
2550000251 / 2800.89640.737%

New Calculation Method

Total ECM effort:14.942 GHz-days
Estimated T-Level:24.482
DigitsB1CompleteFacMiss
20110008.0970.030%
25500000.73248.105%
302500000.04595.594%
3510000000.00299.794%


ECM Summary

B1B2factorcurvesGHz-days
50000500000024814.76
50000500000030.179


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-03-15T00:00:00ANONYMOUSv4_computers63FA21C47B7D7F3A0.081


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-03T04:13:39Oliver KruseGTX-3
55157073410620254551
204EBE6D7F4D32__no
2017-11-03T15:42:05kkmrkkblmbrbkc4.xlarge
55157073410620254551
204EBE6D7F4D32__no


P-1 factor-bounds graph:
B1 = 1173153 (P-1 stage 1)
B1 = 1066503 (P-1 stage 1)
B1 = 969549 (P-1 stage 1)
B1 = 881409 (P-1 stage 1)
B1 = 801281 (P-1 stage 1)
B1 = 728438 (P-1 stage 1)
B1 = 602016 (P-1 stage 1)
B1 = 497535 (P-1 stage 1)
B1 = 452305 (P-1 stage 1)
B1 = 411187 (P-1 stage 1)
B1 = 373807 (P-1 stage 1)
B1 = 280848 (P-1 stage 1)
B1 = 187232 (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)
102
103
104
105
106
107
102
103
104
105
106
107
108
TF factor-bounds graph:
267
265
264
263
261
258
257
250
260
270
280
290
2100
Last modified: 2020-05-04T10:44:15+00:00