is 2 1771717 - 1
has 533340 decimal digits
takes 0.096 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LAA6F2B4261A5DE0Ddouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26716.771368.6567%2475400866600000.55557.9611%17.326871.1520%2.4953%
PrimeNet2570.010863.1579%80001400000.00122.8090%0.012064.1928%1.0349%
GPU722610.173465.5738%80001200000.00111.4547%0.174566.0746%0.5008%
Difference+6+16.5979+3.0829%+2467400+86540000+0.5544+6.5064%+17.1523+5.0774%+5.0774%

Known prime factors (2 factors, 171.8 bits, 0.00969887% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
177171778096063852743480032190472582.6922203965527585485719
3 × 11 × 151 × 317 × 88001 × 15855029
2015-05-1588001158550291,038,5400.07450.1269
17717176844548107669861461519044492789.145193161439091848795872
25 × 3 × 182857 × 253751 × 43364051
2015-05-152537514336405180,136,6460.20470.3471

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
177171753453226605976005648220494852798239995861015608401
03
52171.837
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2011-02-07T12:40:00Carsten Kossendeyleela950001615000---0.014--2.433%
2014-04-08T23:03:00Jocelyn LaroucheManual testing100000100000---0.008--0.889%
2014-05-09T20:31:00Jocelyn LaroucheManual testing136227136227---0.011--1.059%
2014-09-18T20:49:00Jocelyn LaroucheManual testing172454172454---0.014--1.202%
2015-05-15T13:15:00mikrMSI2475400866600001252171.8370.5560.1921.1117.961%
2016-03-16T12:31:22alpertronManual testing5000001500000012---0.101--5.049%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2003-01-25T00:00:00ANONYMOUSv4_computers21258--0.022--
2010-04-20T13:12:00Architects Cubedm1_tt260261--0.087--
2010-12-13T03:32:00GrunwalderGIMPManual testing21263--0.901--
2015-05-01T11:45:00snme2pm1Manual testing263264--1.108--
2015-05-01T11:45:00snme2pm1Manual testing264265--2.109--


ECM factoring results:

Old Calculation Method

Total ECM effort:17.274 GHz-days
Estimated T-Level:24.482
DigitsB1CurvesCompleteFacMiss
2011000251 / 1002.5108.025%
2550000251 / 2800.89640.737%

New Calculation Method

Total ECM effort:17.274 GHz-days
Estimated T-Level:24.482
DigitsB1CompleteFacMiss
20110008.0970.030%
25500000.73248.105%
302500000.04595.594%
3510000000.00299.794%


ECM Summary

B1B2factorcurvesGHz-days
50000500000025117.27


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-11-28T00:00:00ANONYMOUSv4_computersAA6F2B4261A5DE0D0.096


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-03T11:48:59Oliver KruseGTX-3
7809606385274348003219047
684454810766986146151904449
827526C4846FD568no
2017-10-05T21:44:02Oliver KruseManual testing
7809606385274348003219047
684454810766986146151904449
827526C4846FD5__no
2017-11-10T22:28:23kkmrkkblmbrbkc4.xlarge
7809606385274348003219047
684454810766986146151904449
827526C4846FD5__no


P-1 factor-bounds graph:
B1 = 2475400, B2 = 86660000 (P-1 stage 2)
B1 = 2475400 (P-1 stage 1)
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
B1 = 95000, B2 = 1615000 (P-1 stage 2)
B1 = 172454 (P-1 stage 1)
B1 = 136227 (P-1 stage 1)
B1 = 100000 (P-1 stage 1)
B1 = 95000 (P-1 stage 1)
103
104
105
106
107
103
104
105
106
107
108
TF factor-bounds graph:
267
265
264
263
261
258
250
260
270
280
290
2100
Last modified: 2020-10-02T07:43:10+00:00