is 2 100931 - 1
has 30384 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
Actual267294.398374.6269%100000000067344391214101,185.314925.4949%1,479.713281.0957%
Target2440.000061.3636%1200180000.00004.1559%0.000062.9693%
Difference+23+294.3983+13.2632%+999998800+6734439103410+1,185.3149+21.3390%+1,479.7132+18.1264%

Known prime factors (4 factors, 221.9 bits, 0.21981488% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
100931118896719926.825589
19 × 31
-19319.987e-116.333e-81.246e-7
1009317465911440503131549.4073698522476
22 × 11 × 61 × 67 × 131 × 157
2008-08-261311570.00154.267e-78.591e-7
1009311301789398207009095612166.819644890766071380
22 × 3 × 5 × 107 × 1069 × 2473 × 37997
2008-08-26247337997279.011.420e-51.622e-5
1009315298198704283778471167672478.8102624663732789617893
34 × 11 × 17 × 173279443638319
2011-01-03811732794436383191,130,72530,42056,816

11 Composite Factors:
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-10-31kkmrkkblmbrbkManual testing200000000500000000012-
skipped known factor: 118896719
skipped known factor: 746591144050313
skipped known factor: 130178939820700909561
--1.487--13.401%
2021-12-17Seth_TrManual testing10000000006734439121410-
skipped known factor: 118896719
skipped known factor: 746591144050313
skipped known factor: 130178939820700909561
--1,185--25.495%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-08-26ANONYMOUSManual testing??49.407150.0010.0000.001
2018-11-01J.R. AllenManual testing252257--0.184--
2022-04-13LordJuliusManual testing2125726.82599.98692e-110.0002.13112e-10
2022-04-13LordJuliusManual testing2125749.407150.0010.0000.003
2018-11-01J.R. AllenManual testing257258--0.190--
2022-04-13LordJuliusManual testing257258--0.190--
2018-11-01J.R. AllenManual testing258259--0.380--
2022-04-13LordJuliusManual testing258259--0.380--
2018-11-01J.R. AllenManual testing259260--0.761--
2022-04-13LordJuliusManual testing259260--0.761--
2022-04-13LordJuliusManual testing260261--1.522--
2022-04-13LordJuliusManual testing261262--3.043--
2022-10-31LordJuliusManual testing262263--9.73--
2022-10-31LordJuliusManual testing263264--19.45--
2022-10-31LordJuliusManual testing264265--37.02--
2022-11-01LordJuliusManual testing265266--74.04--
2022-11-01LordJuliusManual testing26626766.81921132.70.000269.4


ECM factoring results:
Total ECM effort:12.734 GHz-days
Estimated T-Level:30.766
DigitsB1CompleteFacMiss
201100082.9510.000%
255000013.0360.000%
302500001.56021.008%
3510000000.15385.798%
4030000000.01398.726%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
10.00000e+0
5000050000002800.650
250000250000005856.791
10000001000000001145.293


Lucas-Lehmer results:
No L-L results for M100931


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-21Oliver KrusePRP
118896719
746591144050313
130178939820700909561
529819870428377847116767
98CF924E87FAD325no
2017-09-21Oliver KruseManual testing
118896719
746591144050313
130178939820700909561
529819870428377847116767
98CF924E87FAD325no
2017-10-09Chang Chia-Tchehomura98CF924E87FAD3__?
2017-10-13kkmrkkblmbrbkManual testing
118896719
746591144050313
130178939820700909561
529819870428377847116767
98CF924E87FAD3__no
2020-04-17Oliver KruseAddPrpType5
118896719
746591144050313
130178939820700909561
529819870428377847116767
392AB9DAA3BB85__no
2022-04-15LordJuliusWhiteBox
118896719
746591144050313
130178939820700909561
529819870428377847116767
392AB9DAA3BB858Eno


P-1 factor-bounds graph:
B1 = 1000000000, B2 = 6734439121410 (P-1 stage 2)
B1 = 1000000000 (P-1 stage 1)
B1 = 200000000, B2 = 5000000000 (P-1 stage 2)
B1 = 200000000 (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
1014
1015
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=30.77 ~= 86-bit
250
260
270
280
290
Last modified: 2023-04-26T21:34:10+00:00