is 2 100907 - 1
has 30377 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-L8658CBD57A1931CBdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual267294.468374.6269%100000000067344391214101,185.314925.4946%1,479.783281.0957%
Target2440.000061.3636%1200180000.00004.1557%0.000062.9692%
Difference+23+294.4683+13.2632%+999998800+6734439103410+1,185.3149+21.3390%+1,479.7832+18.1264%

Known prime factors (1 factor, 110.4 bits, 0.10940827% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
100907171353279604480144154906800874236734110.4018490653750705111843326369869
3 × 233 × 3482179 × 3488292248173820189
2011-07-11348217934882922481738201891.406e+12612,389,0841.144e+9

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2000-11-25ANONYMOUSv4_computers100000025000000---0.007--4.290%
2002-06-02ANONYMOUSv4_computers327683276800---0.001--1.316%
2002-07-20ANONYMOUSv4_computers655366553600---0.001--1.925%
2003-02-02ANONYMOUSv4_computers13107213107200---0.003--2.663%
2003-09-21ANONYMOUSv4_computers26214426214400---0.005--3.517%
2016-10-31kkmrkkblmbrbkManual testing100000000200000000012---0.656--11.731%
2021-12-18Seth_TrManual testing10000000006734439121410---1,185--25.495%


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--
2018-10-25J.R. AllenManual testing252257--0.184--
2022-04-13LordJuliusManual testing21257--0.190--
2022-03-07LordJuliusManual testing257258--0.190--
2009-01-05Sturle Sundeginglo.ifi258259--0.381--
2022-04-13LordJuliusManual testing258259--0.381--
2009-01-24Sturle Sundegonzo.ifi259260--0.761--
2022-04-13LordJuliusManual testing259260--0.761--
2022-04-13LordJuliusManual testing260261--1.522--
2022-04-13LordJuliusManual testing261262--3.044--
2022-10-25LordJuliusManual testing262263--9.73--
2022-10-25LordJuliusManual testing263264--19.46--
2022-10-25LordJuliusManual testing264265--37.03--
2022-10-25LordJuliusManual testing265266--74.06--
2022-10-31LordJuliusManual testing266267--148.1--


ECM factoring results:
Total ECM effort:10.333 GHz-days
Estimated T-Level:30.652
DigitsB1CompleteFacMiss
201100058.4930.000%
25500009.9160.005%
302500001.26328.286%
3510000000.13087.778%
4030000000.01198.871%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
50000500000010.002
250000250000004345.038
10000001000000001145.293


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1997-01-01Robert Clark8658CBD57A1931CB0.000


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-21Oliver KruseOllaptop
1713532796044801441549068008742367
68BAA4780CACE8__no
2017-09-21Oliver KruseManual testing
1713532796044801441549068008742367
68BAA4780CACE8__no
2017-10-13kkmrkkblmbrbkManual testing
1713532796044801441549068008742367
68BAA4780CACE8__no
2020-04-17Oliver KruseAddPrpType5
1713532796044801441549068008742367
42791E86FA246B__no
2022-04-15LordJuliusWhiteBox
1713532796044801441549068008742367
42791E86FA246B6Bno


P-1 factor-bounds graph:
B1 = 1000000000, B2 = 6734439121410 (P-1 stage 2)
B1 = 1000000000 (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
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: 67.8
ECM T-Level=30.65 ~= 85-bit
250
260
270
280
290
2100
2110
2120
Last modified: 2023-04-26T21:34:10+00:00