is 2 100999 - 1
has 30404 decimal digits
takes 0.000 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual267294.200174.6269%100000000065559831737401,153.985925.4558%1,448.186181.0858%
Target2440.000061.3636%12001440000.00004.1565%0.000162.9696%
Difference+23+294.2001+13.2632%+999998800+6555983029740+1,153.9859+21.2993%+1,448.1860+18.1163%

Known prime factors (3 factors, 99.4 bits, 0.09845390% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
10099925106331431031.22512429
32 × 1381
-913814.788e-92.699e-74.527e-7
10099971410332971032.73335352
23 × 32 × 491
2008-07-2694919.358e-91.136e-71.624e-7
100999478753439831135.479237009
3 × 199 × 397
2008-07-261993975.895e-86.760e-71.305e-6

4 Composite Factors:
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-10-31kkmrkkblmbrbkManual testing100000000200000000012-
skipped known factor: 2510633143
skipped known factor: 7141033297
skipped known factor: 47875343983
--0.656--11.732%
2021-12-18Seth_TrManual testing10000000006555983173740-
skipped known factor: 2510633143
skipped known factor: 7141033297
skipped known factor: 47875343983
--1,154--25.456%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-07-26J FeitsmaManual testing??35.479111.36256e-80.0002.90683e-8
2008-07-26J FeitsmaManual testing??32.733103.69334e-90.0007.88050e-9
2018-10-25J.R. AllenManual testing252257--0.184--
2022-04-13LordJuliusManual testing2125731.225104.78773e-90.0001.02157e-8
2022-04-13LordJuliusManual testing2125735.479115.89463e-80.0001.25753e-7
2022-04-13LordJuliusManual testing2125732.733109.35843e-90.0001.99681e-8
2018-11-02J.R. AllenManual testing257258--0.190--
2022-04-13LordJuliusManual testing257258--0.190--
2018-11-02J.R. AllenManual testing258259--0.380--
2022-04-13LordJuliusManual testing258259--0.380--
2018-11-02J.R. AllenManual testing259260--0.760--
2022-04-13LordJuliusManual testing259260--0.760--
2022-04-13LordJuliusManual testing260261--1.521--
2022-04-13LordJuliusManual testing261262--3.041--
2022-11-04LordJuliusManual testing262263--9.72--
2022-11-04LordJuliusManual testing263264--19.44--
2022-11-04LordJuliusManual testing264265--36.99--
2022-11-04LordJuliusManual testing265266--73.99--
2022-11-04LordJuliusManual testing266267--148.0--


ECM factoring results:
Total ECM effort:12.597 GHz-days
Estimated T-Level:30.756
DigitsB1CompleteFacMiss
201100082.4900.000%
255000012.9390.000%
302500001.54521.330%
3510000000.15185.963%
4030000000.01398.746%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002810.652
250000250000005856.791
10000001000000001115.154


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2003-01-16ANONYMOUSv4_computers3F2C3F96C7E16C__0.000


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-21Oliver KrusePRP
2510633143
7141033297
47875343983
824E1694F9DC9F__no
2017-09-21Oliver KruseManual testing
2510633143
7141033297
47875343983
824E1694F9DC9F__no
2017-10-13kkmrkkblmbrbkManual testing
2510633143
7141033297
47875343983
824E1694F9DC9F__no
2020-04-17Oliver KruseAddPrpType5
2510633143
7141033297
47875343983
0003720F61F7B6__no
2022-04-15LordJuliusWhiteBox
2510633143
7141033297
47875343983
0003720F61F7B6A5no


P-1 factor-bounds graph:
B1 = 1000000000, B2 = 6555983173740 (P-1 stage 2)
B1 = 1000000000 (P-1 stage 1)
B1 = 100000000, B2 = 2000000000 (P-1 stage 2)
B1 = 100000000 (P-1 stage 1)
100
101
102
103
104
105
106
107
108
109
100
101
102
103
104
105
106
107
108
109
1010
1011
1012
1013
TF factor-bounds graph:
267
266
265
264
263
262
261
260
259
258
257
2
this exponent TF target: 44
TF double-checked to: 67.8
ECM T-Level=30.76 ~= 86-bit
250
260
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280
290
Last modified: 2023-06-05T21:50:05+00:00