is 2 211177 - 1
has 63571 decimal digits
takes 0.001 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
-unknown- primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual267140.706273.1343%30000000100708329922203,668.770323.1948%3,809.476579.3658%6.2314%
PrimeNet2400.000055.0000%2200550000.000012.9870%0.000060.8441%5.8441%
GPU722440.000059.0909%4000900000.00019.3274%0.000162.9067%3.8158%
Difference+23+140.7062+14.0434%+29996000+10070832902220+3,668.7703+13.8674%+3,809.4765+16.4591%+16.4591%

Known prime factors (1 factor, 63.4 bits, 0.03003595% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
211177124176490071588913432063.42929401045111823
7 × 11 × 29 × 139 × 94723829
2007-11-271399472382910.5020.03450.0644

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-05-06T00:00:00ANONYMOUSv4_computers10000010000000---0.004--2.643%
2002-06-02T00:00:00ANONYMOUSv4_computers327683276800---0.001--1.506%
2002-07-27T00:00:00ANONYMOUSv4_computers655366553600---0.003--2.173%
2003-02-24T00:00:00ANONYMOUSv4_computers13107213107200---0.006--2.968%
2003-10-14T00:00:00ANONYMOUSv4_computers26214426214400---0.011--3.880%
2021-05-18T02:32:47Oliver KruseOllaptop300000003000000000-
skipped known factor: 12417649007158891343
--1.282--12.409%
2022-02-19T01:41:49Oliver KruseThreadripper-PC3000000010070832992220-
skipped known factor: 12417649007158891343
--3,669--23.195%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-11-30T00:33:50fbaurubuntu1500000001260000000027--5.969


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-11-17T00:00:00ANONYMOUSv4_computers252253--0.003--
2000-04-12T00:00:00ANONYMOUSv4_computers21254--0.011--
2022-03-07T05:09:17LordJuliusManual testing254255--0.011--
2001-02-04T00:00:00ANONYMOUSv4_computers21256--0.045--
2001-02-11T00:00:00ANONYMOUSv4_computers21256--0.045--
2002-03-24T00:00:00ANONYMOUSv4_computers21257--0.091--


ECM factoring results:

Old Calculation Method

Total ECM effort:10.164 GHz-days
Estimated T-Level:27.797
DigitsB1CurvesCompleteFacMiss
2011000635 / 1006.3500.169%
2550000635 / 2802.26810.311%
30250000358 / 6400.55957.132%

New Calculation Method

Total ECM effort:10.164 GHz-days
Estimated T-Level:27.797
DigitsB1CompleteFacMiss
201100043.3270.000%
25500006.0460.237%
302500000.62153.722%
3510000000.05095.096%
4030000000.00399.667%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000002771.354
250000250000003448.407
25000038500000140.403


Lucas-Lehmer results:
No L-L results for M211177


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-22T03:08:15Oliver KruseDoppelherz
12417649007158891343
81A44A992C02C4__no
2017-09-22T10:02:33Oliver KruseManual testing
12417649007158891343
81A44A992C02C4__no
2017-09-22T10:03:33Oliver KruseManual testing
12417649007158891343
81A44A992C02C4__no
2017-11-06T16:33:35kkmrkkblmbrbkc4.xlarge
12417649007158891343
81A44A992C02C4__no
2020-04-17T19:12:50Oliver KruseAddPrpType5
12417649007158891343
7A96C323609D2C__no


P-1 factor-bounds graph:
B1 = 30000000, B2 = 10070832992220 (P-1 stage 2)
B1 = 30000000, B2 = 3000000000 (P-1 stage 2)
B1 = 30000000 (P-1 stage 1)
B1 = 262144, B2 = 26214400 (P-1 stage 2)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 100000, B2 = 10000000 (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 = 100000 (P-1 stage 1)
B1 = 65536 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-03-07T05:09:17+00:00