is 2 101051 - 1
has 30420 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
Actual267294.048774.6269%100000000067366001102401,185.694225.4968%1,479.743081.0962%
Target2440.000061.3636%1200180000.00004.1570%0.000062.9697%
Difference+23+294.0487+13.2632%+999998800+6736600092240+1,185.6942+21.3398%+1,479.7429+18.1265%

Known prime factors (1 factor, 36.5 bits, 0.03608709% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
101051949444880711136.466469785
3 × 5 × 31319
-5313191.527e-75.513e-61.027e-5

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-11-02kkmrkkblmbrbkManual testing100000000200000000012-
skipped known factor: 94944488071
--0.656--11.732%
2021-12-18Seth_TrManual testing10000000006736600110240-
skipped known factor: 94944488071
--1,186--25.497%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2018-10-21J.R. AllenManual testing252257--0.184--
2022-04-13LordJuliusManual testing2125736.466111.52658e-70.0003.25593e-7
2018-10-21J.R. AllenManual testing257258--0.190--
2022-04-13LordJuliusManual testing257258--0.190--
2018-10-21J.R. AllenManual testing258259--0.380--
2022-04-13LordJuliusManual testing258259--0.380--
2018-10-21J.R. AllenManual testing259260--0.760--
2022-04-13LordJuliusManual testing259260--0.760--
2022-04-13LordJuliusManual testing260261--1.520--
2022-04-13LordJuliusManual testing261262--3.040--
2022-11-07LordJuliusManual testing262263--9.71--
2022-11-07LordJuliusManual testing263264--19.43--
2022-11-07LordJuliusManual testing264265--36.98--
2022-11-08LordJuliusManual testing265266--73.95--
2022-11-08LordJuliusManual testing266267--147.9--


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:
No L-L results for M101051


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-21Oliver KrusePRP
94944488071
A0E869DF816171__no
2017-09-21Oliver KruseManual testing
94944488071
A0E869DF816171__no
2017-10-13kkmrkkblmbrbkManual testing
94944488071
A0E869DF816171__no
2020-04-17Oliver KruseAddPrpType5
94944488071
0AD383BDA89539__no
2022-04-15LordJuliusWhiteBox
94944488071
0AD383BDA8953903no


P-1 factor-bounds graph:
B1 = 1000000000, B2 = 6736600110240 (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
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105
106
107
108
109
100
101
102
103
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105
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109
1010
1011
1012
1013
TF factor-bounds graph:
267
266
265
264
263
262
261
260
259
258
257
this exponent TF target: 44
TF double-checked to: 67.8
ECM T-Level=30.76 ~= 86-bit
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290
Last modified: 2023-04-26T21:34:10+00:00