is 2 101117 - 1
has 30440 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
Actual267293.856874.6269%100000000065501120685001,152.955225.4559%1,446.812081.0858%
Target2440.000061.3636%1200180000.00004.1576%0.000062.9700%
Difference+23+293.8568+13.2632%+999998800+6550112050500+1,152.9552+21.2983%+1,446.8120+18.1158%

Known prime factors (2 factors, 74.4 bits, 0.07358185% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1011171415639720.4337
7
-171.384e-124.276e-96.558e-9
101117176526730109465271753.97187288354139
7 × 17 × 311 × 2358571
2008-08-2631123585710.01360.00040.0008

1 Composite Factors:
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-11-02kkmrkkblmbrbkManual testing100000000200000000012-
skipped known factor: 1415639
skipped known factor: 17652673010946527
--0.656--11.733%
2021-12-17Seth_TrManual testing10000000006550112068500-
skipped known factor: 1415639
skipped known factor: 17652673010946527
--1,153--25.456%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-08-26ANONYMOUSManual testing??53.971170.0020.0000.004
2022-04-13LordJuliusManual testing2125720.43371.38355e-120.0002.95178e-12
2022-04-13LordJuliusManual testing2125753.971170.0140.0000.028
2022-04-13LordJuliusManual testing257258--0.190--
2022-04-13LordJuliusManual testing258259--0.380--
2022-04-13LordJuliusManual testing259260--0.759--
2022-04-13LordJuliusManual testing260261--1.519--
2022-04-13LordJuliusManual testing261262--3.038--
2022-12-08LordJuliusManual testing262263--9.71--
2022-12-08LordJuliusManual testing263264--19.42--
2022-12-08LordJuliusManual testing264265--36.95--


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 M101117


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-21Oliver KruseOliver-PC
1415639
17652673010946527
0A571C20B7DC8C__no
2017-09-21Oliver KruseManual testing
1415639
17652673010946527
0A571C20B7DC8C__no
2017-10-13kkmrkkblmbrbkManual testing
1415639
17652673010946527
0A571C20B7DC8C__no
2020-04-17Oliver KruseAddPrpType5
1415639
17652673010946527
AABFD72BD3F302__no
2022-04-15LordJuliusWhiteBox
1415639
17652673010946527
AABFD72BD3F30205no


P-1 factor-bounds graph:
B1 = 1000000000, B2 = 6550112068500 (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
104
105
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107
108
109
1010
1011
1012
1013
TF factor-bounds graph:
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
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Last modified: 2023-04-26T21:34:10+00:00