is 2 1854317 - 1
has 558206 decimal digits
takes 0.101 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L1D4948DC7572A2D9double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26716.024268.6567%2780000917600000.60008.1399%16.624271.2080%2.5513%
PrimeNet2570.010463.1579%90001600000.00143.0244%0.011764.2721%1.1143%
GPU722610.165765.5738%90001500000.00131.6317%0.167066.1355%0.5617%
Difference+6+15.8585+3.0829%+2771000+91610000+0.5987+6.5082%+16.4572+5.0725%+5.0725%

Known prime factors (1 factor, 84.6 bits, 0.00456070% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1854317287134240631979895610280072684.5707742318078084272959
3 × 211 × 698293 × 17515785211
2016-11-22698293175157852113,612,40175.120140.21

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2011-02-10T16:22:00Carsten Kossendeyleela1000001700000---0.015--2.506%
2014-05-26T23:57:00Jocelyn LaroucheManual testing134613134613---0.011--1.061%
2014-09-25T21:17:00Jocelyn LaroucheManual testing169226169226---0.013--1.199%
2015-07-21T01:03:00mikrMSI278000091760000---0.600--8.140%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2003-01-09T00:00:00ANONYMOUSv4_computers21258--0.021--
2016-02-23T16:28:55Mark RoseManual testing258260--0.062--
2010-04-13T12:48:00Architects Cubeda3_bu2260261--0.083--
2016-02-23T16:28:55Mark RoseManual testing261262--0.166--
2011-01-21T16:11:00GrunwalderGIMPManual testing21263--0.861--
2016-02-23T16:28:55Mark RoseManual testing262263--0.529--
2015-05-06T13:01:00snme2pm1Manual testing263264--1.059--
2015-05-06T13:01:00snme2pm1Manual testing264265--2.015--
2015-09-09T11:47:00ramgeisManual testing265266--4.030--


ECM factoring results:

Old Calculation Method

Total ECM effort:19.243 GHz-days
Estimated T-Level:24.482
DigitsB1CurvesCompleteFacMiss
2011000251 / 1002.5108.025%
2550000251 / 2800.89640.737%

New Calculation Method

Total ECM effort:19.243 GHz-days
Estimated T-Level:24.482
DigitsB1CompleteFacMiss
20110008.5710.019%
25500000.77646.005%
302500000.04895.311%
3510000000.00299.779%


ECM Summary

B1B2factorcurvesGHz-days
500005000000362.490
50000500000020.138
50000660000021316.61


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-12-13T00:00:00Greg Hewgillv4_computers1D4948DC7572A2D90.101
2015-06-27T00:56:00MadPooManual testing1D4948DC7572A2D90.101


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-04T07:11:18Oliver KruseGTX-2
28713424063197989561028007
26BD04A2EE0359__no
2017-11-07T02:00:50kkmrkkblmbrbkc4.xlarge
28713424063197989561028007
26BD04A2EE0359__no


P-1 factor-bounds graph:
B1 = 2780000, B2 = 91760000 (P-1 stage 2)
B1 = 2780000 (P-1 stage 1)
B1 = 100000, B2 = 1700000 (P-1 stage 2)
B1 = 169226 (P-1 stage 1)
B1 = 134613 (P-1 stage 1)
B1 = 100000 (P-1 stage 1)
104
105
106
107
104
105
106
107
108
109
1010
1011
TF factor-bounds graph:
267
266
265
264
263
262
261
260
258
250
260
270
280
290
2100
Last modified: 2021-07-30T10:29:24+00:00