is 2 136417 - 1
has 41066 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-L6D4C7DC653683B36double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual267217.816873.1343%10000000020000000000.942711.9932%218.759576.3564%3.2221%
PrimeNet2400.000055.0000%1500300000.000010.0902%0.000059.5406%4.5406%
GPU722440.000059.0909%2400450000.00006.7264%0.000061.8426%2.7517%
Difference+23+217.8168+14.0434%+99997600+1999955000+0.9427+5.2669%+218.7595+14.5138%+14.5138%

Known prime factors (1 factor, 106.3 bits, 0.07794323% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
13641710182699730726992366472600572811333106.328373219603521811517863338168
23 × 3 × 61 × 1721 × 4933 × 6379 × 42967 × 109557913
2009-01-01429671095579131.105e+120.02780.0516

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2000-11-25T00:00:00ANONYMOUSv4_computers100000025000000---0.011--4.446%
2002-06-02T00:00:00ANONYMOUSv4_computers327683276800---0.001--1.391%
2002-07-20T00:00:00ANONYMOUSv4_computers655366553600---0.002--2.023%
2003-02-09T00:00:00ANONYMOUSv4_computers13107213107200---0.004--2.784%
2003-09-29T00:00:00ANONYMOUSv4_computers26214426214400---0.008--3.662%
2017-01-08T05:51:49kkmrkkblmbrbkManual testing100000000200000000012-
skipped known factor: 101826997307269923664726005728113
--0.943--11.993%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-09-30T00:00:00ANONYMOUSv4_computers252253--0.004--
2000-04-27T00:00:00ANONYMOUSv4_computers21254--0.018--
2022-03-07T03:14:53LordJuliusManual testing254255--0.018--
2000-12-31T00:00:00ANONYMOUSv4_computers21256--0.070--
2002-06-23T00:00:00ANONYMOUSv4_computers21257--0.141--
2022-03-07T03:14:53LordJuliusManual testing257258--0.141--
2008-12-31T11:16:00Sturle Sundegilia.ifi258259--0.281--


ECM factoring results:

Old Calculation Method

Total ECM effort:13.399 GHz-days
Estimated T-Level:29.984
DigitsB1CurvesCompleteFacMiss
2011000904 / 1009.0400.011%
2550000904 / 2803.2293.939%
30250000638 / 6400.99736.874%
35100000036 / 15660.02397.727%

New Calculation Method

Total ECM effort:13.399 GHz-days
Estimated T-Level:29.984
DigitsB1CompleteFacMiss
201100070.9580.000%
255000010.6250.002%
302500001.18230.681%
3510000000.10590.014%
4030000000.00899.217%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000002660.892
2500002500000060210.09
1000000100000000362.414


Lucas-Lehmer results:
No L-L results for M136417


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-21T22:22:26Oliver KruseDoppelherz
101826997307269923664726005728113
8A52373397E0BB__no
2017-09-22T10:01:19Oliver KruseManual testing
101826997307269923664726005728113
8A52373397E0BB__no
2017-10-13T20:51:36kkmrkkblmbrbkManual testing
101826997307269923664726005728113
8A52373397E0BB__no
2020-04-17T15:40:06Oliver KruseAddPrpType5
101826997307269923664726005728113
C15CAD85E4FD0D__no


P-1 factor-bounds graph:
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
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108
103
104
105
106
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109
1010
TF factor-bounds graph:
267
259
258
257
256
255
254
253
250
260
270
280
290
2100
2110
Last modified: 2022-03-07T03:14:53+00:00