is 2 100591 - 1
has 30281 decimal digits
takes 0.000 GHz-days to do one PRP test
Last-known PrimeNet details:
Assigned as ecm on 2023-05-29, 0.0% done, ETC 2023-05-29
0 primality tests remaining
ResidueStatus
L-L9F42CB5513DAD7E5double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual268592.546875.0000%10000000000864670020464250151,828.092533.2275%152,420.639383.3069%
Target2440.000061.3636%1200180000.00004.1527%0.000062.9681%
Difference+24+592.5468+13.6364%+9999998800+864670020446250+151,828.0925+29.0748%+152,420.6393+20.3388%

Known prime factors:
No known factors for M100591

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2000-11-25ANONYMOUSv4_computers100000025000000---0.007--3.896%
2002-06-02ANONYMOUSv4_computers327683276800---0.001--1.141%
2002-07-20ANONYMOUSv4_computers655366553600---0.001--1.692%
2003-02-02ANONYMOUSv4_computers13107213107200---0.003--2.367%
2003-09-21ANONYMOUSv4_computers26214426214400---0.005--3.159%
2003-11-28eteov4_computers100000001000000000---0.206--8.878%
2012-11-19alpertronManual testing1000000002000000000---0.656--11.004%
2016-11-24mikrS0523500000002550000000012---5.543--15.356%
2020-05-18GdSManual testing16426355178541704690612---20.00--17.876%
2022-11-27Oliver Kruse5950X10000000000864670020464250---151,828--33.228%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-04-28Oliver KruseOllaptop50000000705000000027--1.449


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--0.095--
2000-12-14ANONYMOUSv4_computers21256--0.095--
2002-04-14ANONYMOUSv4_computers21257--0.191--
2016-02-23Mark RoseManual testing257258--0.191--
2009-01-04Sturle Sundeginglo.ifi258259--0.382--
2009-01-22Sturle Sundegonzo.ifi259260--0.763--
2012-10-21Richard B. WoodsPuttputt260261--1.527--
2015-06-04Ethan O'ConnorManual testing261262--3.054--
2016-02-03monstedManual testing262263--9.76--
2016-02-03monstedManual testing263264--19.52--
2016-02-03monstedManual testing264265--37.14--
2017-07-05RazorManual testing265267--222.9--
2022-02-09LordJuliusManual testing267268--297.2--


ECM factoring results:
Total ECM effort:316.373 GHz-days
Estimated T-Level:36.438
DigitsB1CompleteFacMiss
2011000481.8960.000%
2550000102.4420.000%
3025000017.5040.000%
3510000002.4468.662%
4030000000.28875.004%
45110000000.02997.105%
50440000000.00399.735%


ECM Summary

B1B2factorcurvesGHz-days
50000500000010.002
250000250000005846.779
10000001000000001,65676.89
30000003000000171.605
300000030000000040956.97
3000000662987825509.71
30000005706890290172164.4


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1997-01-01Robert Clark9F42CB5513DAD7E50.000
2016-06-01MadPooManual testing9F42CB5513DAD7E50.000


PRP results:
No PRP results for M100591


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 = 350000000, B2 = 25500000000 (P-1 stage 2)
B1 = 1642635517 (P-1 stage 1)
B1 = 350000000 (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=36.44 ~= 104-bit
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Last modified: 2023-06-01T17:12:06+00:00