is 2 100987 - 1
has 30401 decimal digits
takes 0.000 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L65AB8F647283F3E0double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual267294.235174.6269%100000000067344391214101,185.314925.4956%1,479.549981.0959%
Target2440.000061.3636%1200180000.00004.1564%0.000062.9695%
Difference+23+294.2351+13.2632%+999998800+6734439103410+1,185.3149+21.3392%+1,479.5499+18.1264%

Known prime factors (1 factor, 119.6 bits, 0.11843977% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
100987101350885492065143126850850675101350337119.6095018016452219847263848359228173
7 × 19 × 577 × 1391363 × 46996355097326952931
2019-09-051391363469963550973269529311.328e+128.250e+91.541e+10

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2000-11-25ANONYMOUSv4_computers100000025000000---0.007--4.291%
2002-06-02ANONYMOUSv4_computers327683276800---0.001--1.316%
2002-07-20ANONYMOUSv4_computers655366553600---0.001--1.926%
2003-02-02ANONYMOUSv4_computers13107213107200---0.003--2.663%
2003-09-21ANONYMOUSv4_computers26214426214400---0.005--3.518%
2012-11-21alpertronManual testing1000000002000000000---0.656--11.732%
2016-11-30mikrS0533500000002550000000012---5.543--16.221%
2021-12-18Seth_TrManual testing10000000006734439121410---1,185--25.496%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-09-14ANONYMOUSv4_computers252253--0.006--
1999-12-30ANONYMOUSv4_computers253254--0.012--
2000-12-07ANONYMOUSv4_computers21255--0.048--
2000-12-07ANONYMOUSv4_computers21256--0.095--
2000-12-14ANONYMOUSv4_computers21256--0.095--
2002-04-20ANONYMOUSv4_computers21257--0.190--
2016-02-23Mark RoseManual testing257258--0.190--
2009-01-05Sturle Sundeginglo.ifi258259--0.380--
2009-01-25Sturle Sundegonzo.ifi259260--0.760--
2012-09-16Richard B. WoodsPuttputt260261--1.521--
2015-08-20NRManual testing261262--3.042--
2016-02-04monstedManual testing262263--9.72--
2016-02-17Gordon SpenceManual testing263264--19.44--
2017-10-23BloodERazorManual testing264265--37.00--
2019-01-18BloodERazorManual testing265266--74.00--
2022-11-04LordJuliusManual testing266267--148.0--


ECM factoring results:
Total ECM effort:1,084.642 GHz-days
Estimated T-Level:38.032
DigitsB1CompleteFacMiss
2011000739.4570.000%
2550000166.6250.000%
3025000031.5240.000%
3510000004.7830.837%
4030000000.60654.529%
45110000000.06693.585%
50440000000.00699.362%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
50000500000010.002
250000250000005816.744
10000001000000001,70078.94
300000030000000036350.56
30000005706890290992948.4


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1997-01-01Robert Clark65AB8F647283F3E00.000
2003-01-16ANONYMOUSv4_computers65AB8F647283F3E00.000


PRP results:
dateuseridcompidcofactorsres64PRP
2019-09-05mnd925836b
1013508854920651431268508506751013503
634739082CCF3702no
2019-09-07Ivan MLAB
1013508854920651431268508506751013503
634739082CCF3702no
2022-04-15LordJuliusWhiteBox
1013508854920651431268508506751013503
634739082CCF3702no


P-1 factor-bounds graph:
B1 = 1000000000, B2 = 6734439121410 (P-1 stage 2)
B1 = 350000000, B2 = 25500000000 (P-1 stage 2)
B1 = 1000000000 (P-1 stage 1)
B1 = 350000000 (P-1 stage 1)
B1 = 100000000, B2 = 2000000000 (P-1 stage 2)
B1 = 100000000 (P-1 stage 1)
B1 = 1000000, B2 = 25000000 (P-1 stage 2)
B1 = 262144, B2 = 26214400 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 262144 (P-1 stage 1)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 131072 (P-1 stage 1)
B1 = 65536 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
103
104
105
106
107
108
109
103
104
105
106
107
108
109
1010
1011
1012
1013
1014
1015
1016
1017
1018
1019
1020
TF factor-bounds graph:
267
266
265
264
263
262
261
260
259
258
257
256
255
254
253
this exponent TF target: 44
TF double-checked to: 67.7
ECM T-Level=38.03 ~= 110-bit
250
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290
2100
2110
2120
Last modified: 2023-03-23T17:39:31+00:00