is 2 1888441 - 1
has 568478 decimal digits
takes 0.102 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L0020F6D8ABF5B5EFdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26715.734668.6567%500000150000000.10155.0878%15.836170.2514%1.5947%
PrimeNet2570.010263.1579%90001600000.00143.0346%0.011564.2759%1.1180%
GPU722610.162765.5738%100001500000.00141.6929%0.164166.1566%0.5828%
Difference+6+15.5720+3.0829%+490000+14850000+0.1001+3.3949%+15.6721+4.0948%+4.0948%

Known prime factors (3 factors, 253.4 bits, 0.01342016% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
188844115900765096657993844732270.430421002432605996
22 × 6712243 × 15680393
2021-01-07671224315680393207.000.56641.0746
188844110728882887330698667375559832889.794284067198480934767551
19 × 653 × 4483 × 114217 × 44715163
2012-01-181142174471516369,133,6860.20010.3579
1888441114446870640410727370467227592993.2093030194500130285441019
32 × 11 × 12227 × 5761387 × 434498569
2021-11-1957613874344985691.237e+92.29073.4780

4 Composite Factors:
exponentprime factorscomposite factordigitsbits*
1888441170597446540999212880191645491427225711377845195949160.223
18884411819792806100775397306297965483789772778408032100750163.638
188844112278870719224528111423152584403438235626276415442
717097
56183.002
188844119524343895862121413467323107651967068038717388521
037268139092247973273434881
77253.432
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2012-01-18T13:59:00markrtiny500000150000002889.7940.1010.2050.2035.088%
2016-03-16T12:40:27alpertronManual testing5000001500000012---0.101--5.088%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2003-01-09T00:00:00ANONYMOUSv4_computers21258--0.020--
2022-03-08T23:06:30LordJuliusManual testing258260--0.061--
2010-04-02T14:24:00Architects CubedManual testing260261--0.081--
2011-03-08T05:15:00GrunwalderGIMPManual testing21263--0.845--


ECM factoring results:

Old Calculation Method

Total ECM effort:19.869 GHz-days
Estimated T-Level:24.607
DigitsB1CurvesCompleteFacMiss
2011000258 / 1002.5807.480%
2550000258 / 2800.92139.729%

New Calculation Method

Total ECM effort:19.869 GHz-days
Estimated T-Level:24.607
DigitsB1CompleteFacMiss
20110008.8190.015%
25500000.79944.969%
302500000.04995.176%
3510000000.00299.773%


ECM Summary

B1B2factorcurvesGHz-days
500005000000302.079
50000500000050.347
500006600000513.988
50000660000016512.90
50000675000070.553


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-03-15T00:00:00S00030v4_computers0020F6D8ABF5B5EF0.102


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-04T15:32:58Oliver KruseGTX-2
1072888288733069866737555983
B075E0AFF2D15F__no
2017-11-08T14:22:42kkmrkkblmbrbkc4.xlarge
1072888288733069866737555983
B075E0AFF2D15F__no
2021-01-07T12:46:21ViliamF3
1590076509665799384473
1072888288733069866737555983
8C71822BC3C162A7no
2021-01-07T19:51:18Lisander Viaene
1590076509665799384473
1072888288733069866737555983
8C71822BC3C162A7no
2021-11-19T17:46:27JackBlockWin10
1590076509665799384473
1072888288733069866737555983
11444687064041072737046722759
8C71822BC3C162A7no


P-1 factor-bounds graph:
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
104
105
106
107
104
105
106
107
108
109
TF factor-bounds graph:
267
263
261
260
258
250
260
270
280
290
2100
Last modified: 2022-03-08T23:06:30+00:00