is 2 100411 - 1
has 30227 decimal digits
takes 0.000 GHz-days to do one PRP test
Last-known PrimeNet details:
Assigned as ecm on 2023-06-06, 0.0% done, ETC 2023-06-06
0 primality tests remaining
ResidueStatus
L-L2B8402D7CD5EEB0Adouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual2702,379.725675.7143%10000000000864670020464250151,828.092530.8630%154,207.818183.2096%
Target2440.000061.3636%12001360000.00004.0811%0.000162.9404%
Difference+26+2,379.7256+14.3506%+9999998800+864670020328250+151,828.0925+26.7819%+154,207.8181+20.2691%

Known prime factors:
No known factors for M100411

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2000-11-25ANONYMOUSv4_computers100000025000000---0.007--3.205%
2002-06-02ANONYMOUSv4_computers327683276800---0.001--0.854%
2002-07-20ANONYMOUSv4_computers655366553600---0.001--1.300%
2003-02-02ANONYMOUSv4_computers13107213107200---0.003--1.862%
2003-09-21ANONYMOUSv4_computers26214426214400---0.005--2.538%
2003-11-28eteov4_computers100000001000000000---0.206--7.629%
2012-11-19alpertronManual testing1000000002000000000---0.656--9.657%
2016-11-20mikrS0523000000001200000000012---3.021--12.580%
2020-05-16GdSManual testing16426355178541704690612---20.00--16.159%
2022-11-27Oliver Kruse5950X10000000000864670020464250---151,828--30.863%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-04-22Oliver KruseOllaptop10000000400000000027--0.735
2021-04-28Oliver KruseOllaptop50000000625000000065--1.312


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-09-14ANONYMOUSv4_computers252253--0.006--
1999-12-30ANONYMOUSv4_computers253254--0.012--
2000-12-07ANONYMOUSv4_computers21255--0.048--
2000-12-07ANONYMOUSv4_computers21256--0.096--
2000-12-14ANONYMOUSv4_computers21256--0.096--
2002-04-14ANONYMOUSv4_computers21257--0.191--
2016-02-23Mark RoseManual testing257258--0.191--
2009-01-10Sturle Sundevancraft.ifi258259--0.382--
2009-01-22Sturle Sundegonzo.ifi259260--0.765--
2013-10-07lycornasteroid260261--1.530--
2015-07-10NRManual testing261262--3.059--
2015-07-10NRManual testing262263--9.78--
2015-07-10NRManual testing263264--19.55--
2015-07-11NRManual testing264265--37.21--
2018-07-26Gabriel LignelliManual testing265266--74.42--
2019-10-12YxinityManual testing266267--148.8--
2019-10-15YxinityManual testing267268--297.7--
2019-10-15YxinityManual testing268269--595.4--
2019-10-18YxinityManual testing269270--1,191--


ECM factoring results:
Total ECM effort:317.089 GHz-days
Estimated T-Level:36.406
DigitsB1CompleteFacMiss
2011000495.2630.000%
2550000104.2520.000%
3025000017.5810.000%
3510000002.4258.849%
4030000000.28175.489%
45110000000.02897.208%
50440000000.00399.748%


ECM Summary

B1B2factorcurvesGHz-days
50000500000010.002
250000250000005846.779
10000001000000001,84885.80
30000003000000171.605
300000030000000036550.84
30000005706890290180172.1


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1997-01-01Robert Clark2B8402D7CD5EEB0A0.000
2016-06-01MadPooManual testing2B8402D7CD5EEB0A0.000


PRP results:
No PRP results for M100411


P-1 factor-bounds graph:
B1 = 10000000000, B2 = 864670020464250 (P-1 stage 2)
B1 = 10000000000 (P-1 stage 1)
B1 = 1642635517, B2 = 85417046906 (P-1 stage 2)
B1 = 1642635517 (P-1 stage 1)
B1 = 300000000, B2 = 12000000000 (P-1 stage 2)
B1 = 300000000 (P-1 stage 1)
B1 = 100000000, B2 = 2000000000 (P-1 stage 2)
B1 = 100000000 (P-1 stage 1)
B1 = 10000000, B2 = 1000000000 (P-1 stage 2)
B1 = 10000000 (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)
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TF factor-bounds graph:
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this exponent TF target: 44
TF double-checked to: 67.8
ECM T-Level=36.41 ~= 104-bit
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Last modified: 2023-06-10T02:56:06+00:00