is 2 1839743 - 1
has 553818 decimal digits
takes 0.100 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LEB1CD0A75BFDE583double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26832.398569.1176%18397431839743000.92538.0234%33.323871.5955%2.4778%
PrimeNet2570.010463.1579%80001500000.00122.8820%0.011764.2197%1.0618%
GPU722610.167065.5738%90001400000.00131.5963%0.168266.1233%0.5496%
Difference+7+32.2315+3.5439%+1830743+183834300+0.9240+6.4271%+33.1555+5.4721%+5.4721%

Known prime factors (1 factor, 89.7 bits, 0.00487300% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
18397439717172801969092001996644312789.651264090495302036534505
3 × 5 × 11 × 23 × 108463 × 641592647453
2020-03-1110846364159264745399,785,7262,749.75,135.7

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2011-02-10T06:33:00Carsten Kossendeyleela1000001675000---0.015--2.211%
2014-05-19T21:00:00Jocelyn LaroucheManual testing134888134888---0.011--0.925%
2014-09-23T20:52:00Jocelyn LaroucheManual testing169776169776---0.013--1.050%
2015-07-07T14:05:00mikrMSI278000091760000---0.600--7.494%
2018-08-09T11:43:51Jocelyn Larouchelow 4M183974318397430012---0.925--8.023%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2003-01-16T00:00:00ANONYMOUSv4_computers21258--0.021--
2016-02-23T16:28:54Mark RoseManual testing258260--0.063--
2010-04-23T13:38:00Architects Cubeda3_lm260261--0.083--
2016-02-23T16:28:54Mark RoseManual testing261262--0.167--
2011-01-21T16:11:00GrunwalderGIMPManual testing21263--0.868--
2016-02-23T16:28:54Mark RoseManual testing262263--0.534--
2015-04-27T03:38:00snme2pm1Manual testing263264--1.067--
2015-04-27T03:38:00snme2pm1Manual testing264265--2.031--
2015-09-05T13:49:00ramgeisManual testing265266--4.062--
2018-01-08T13:22:30TJAOIManual testing266267--8.124--
2019-06-10T09:46:21TJAOIManual testing267268--16.25--


ECM factoring results:

Old Calculation Method

Total ECM effort:18.597 GHz-days
Estimated T-Level:24.482
DigitsB1CurvesCompleteFacMiss
2011000251 / 1002.5108.025%
2550000251 / 2800.89640.737%

New Calculation Method

Total ECM effort:18.597 GHz-days
Estimated T-Level:24.482
DigitsB1CompleteFacMiss
20110008.4130.022%
25500000.76246.695%
302500000.04795.405%
3510000000.00299.784%


ECM Summary

B1B2factorcurvesGHz-days
5000050000001087.464
50000500000010.069
50000660000014211.06


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-01-02T00:00:00Olli Heikkiläv4_computersEB1CD0A75BFDE5830.100
2015-06-27T00:55:00MadPooManual testingEB1CD0A75BFDE5830.100


PRP results:
dateuseridcompidcofactorsres64PRP
2020-03-12T08:02:45Jinyuan WangManual testing
971717280196909200199664431
6D1EFEA3321676BBno
2020-03-13T04:14:31oodairacom1
971717280196909200199664431
6D1EFEA3321676BBno


P-1 factor-bounds graph:
B1 = 1839743, B2 = 183974300 (P-1 stage 2)
B1 = 2780000, B2 = 91760000 (P-1 stage 2)
B1 = 2780000 (P-1 stage 1)
B1 = 1839743 (P-1 stage 1)
B1 = 100000, B2 = 1675000 (P-1 stage 2)
B1 = 169776 (P-1 stage 1)
B1 = 134888 (P-1 stage 1)
B1 = 100000 (P-1 stage 1)
104
105
106
107
104
105
106
107
108
109
1010
1011
1012
TF factor-bounds graph:
268
267
266
265
264
263
262
261
260
258
250
260
270
280
290
2100
Last modified: 2021-06-04T15:56:34+00:00