is 2 1093969 - 1
has 329318 decimal digits
takes 0.032 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LD6AC252A634C9610double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual270218.425470.0000%300000100000000.03563.0030%218.461070.9009%0.9009%
PrimeNet2560.008862.5000%4500650000.00032.0253%0.009163.2595%0.7595%
GPU722600.140465.0000%4500220000.00020.6828%0.140665.2390%0.2390%
Difference+10+218.2850+5.0000%+295500+9978000+0.0354+2.3202%+218.3204+5.6619%+5.6619%

Known prime factors (2 factors, 156.2 bits, 0.01428262% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1093969920359886317060589760072376.28542065172153738387
32 × 83 × 4429531 × 12712891
2018-03-3044295311271289118,0680.20980.3874
109396911781399255231801324153912579.963538470434501882655
3 × 5 × 17 × 23 × 75913 × 1209421519
2014-03-13759131209421519179,1392.83495.2891

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
109396910843127279201042966335586045345513863702652373748156.247
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-12-08T00:00:00Jocelyn Larouchev4_computers1000077500---0.001--0.268%
2012-01-02T21:41:00bcp19Toshiba-740Q20000010000000---0.032--2.784%
unknown30000010000000---0.036--3.003%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-12-01T00:00:00ANONYMOUSv4_computers21257--0.018--
2022-03-07T01:57:42firejugglerManual testing257260--0.123--
2022-03-07T17:30:49LordJuliusManual testing257260--0.123--
2009-02-16T17:47:00Sturle Sundegigotte.ifi260261--0.140--
2010-11-18T20:16:00Michael CManual testing261262--0.281--
2012-10-29T08:41:00dbaughManual testing262263--0.897--
2013-05-16T19:19:00Never Odd Or EvenManual testing263264--1.795--
2013-09-03T20:22:00David CampeauManual testing264265--3.415--
2013-12-16T09:27:00ramgeisManual testing265266--6.831--
2013-12-16T09:27:00ramgeisManual testing266267--13.66--
2013-12-16T09:27:00ramgeisManual testing267268--27.32--
2013-12-16T09:27:00ramgeisManual testing268269--54.65--
2013-12-16T09:27:00ramgeisManual testing269270--109.3--


ECM factoring results:

Old Calculation Method

Total ECM effort:17.516 GHz-days
Estimated T-Level:25.344
DigitsB1CurvesCompleteFacMiss
2011000322 / 1003.2203.931%
2550000322 / 2801.15031.599%
3025000044 / 6400.06993.351%

New Calculation Method

Total ECM effort:17.516 GHz-days
Estimated T-Level:25.344
DigitsB1CompleteFacMiss
201100012.6340.000%
25500001.34126.168%
302500000.10789.841%
3510000000.00799.298%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000002468.653
500005000000321.126
25000025000000447.738


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2002-03-31T00:00:00ANONYMOUSv4_computersD6AC252A634C96100.032


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-29T01:00:40Oliver KruseGTX-2
1178139925523180132415391
A40BF769EBF7AA__no
2017-10-16T11:14:28Oliver KruseThreadripper
1178139925523180132415391
A40BF769EBF7AA__no
2017-12-31T09:11:34ATHec2-1xf
1178139925523180132415391
A40BF769EBF7AA__no
2018-03-31T03:48:33Chang Chia-Tchehomura
92035988631706058976007
1178139925523180132415391
909099EDA95ADC__no
2018-03-31T16:52:49kkmrkkblmbrbkc5.xlarge
92035988631706058976007
1178139925523180132415391
909099EDA95ADC__no


P-1 factor-bounds graph:
B1 = 300000, B2 = 10000000 (P-1 stage 2)
B1 = 200000, B2 = 10000000 (P-1 stage 2)
B1 = 300000 (P-1 stage 1)
B1 = 200000 (P-1 stage 1)
B1 = 10000, B2 = 77500 (P-1 stage 2)
B1 = 10000 (P-1 stage 1)
103
104
105
106
107
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
270
269
268
267
266
265
264
263
262
261
260
257
250
260
270
280
290
2100
Last modified: 2022-03-07T17:30:49+00:00