is 2 100847 - 1
has 30358 decimal digits
takes 0.000 GHz-days to do one PRP test
Last-known PrimeNet details:
Assigned as ecm on 2023-06-09, 0.0% done, ETC 2023-06-13
0 primality tests remaining
ResidueStatus
L-L5F2D441622B2ACDBdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual268591.042675.0000%10000000000864670020464250151,828.092533.2307%152,419.135183.3077%
Target2440.000061.3636%12001440000.00004.1551%0.000162.9690%
Difference+24+591.0426+13.6364%+9999998800+864670020320250+151,828.0925+29.0756%+152,419.1351+20.3387%

Known prime factors:
No known factors for M100847

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2000-11-25ANONYMOUSv4_computers100000025000000---0.007--3.897%
2002-06-02ANONYMOUSv4_computers327683276800---0.001--1.141%
2002-07-20ANONYMOUSv4_computers655366553600---0.001--1.692%
2003-02-02ANONYMOUSv4_computers13107213107200---0.003--2.368%
2003-09-21ANONYMOUSv4_computers26214426214400---0.005--3.160%
2012-11-19alpertronManual testing1000000002000000000---0.656--11.006%
2016-11-25mikrS0533500000002550000000012---5.543--15.358%
2020-05-16GdSManual testing16426355178541704690612---20.00--17.879%
2022-11-28Oliver Kruse5950X10000000000864670020464250---151,828--33.231%


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--
2002-04-20ANONYMOUSv4_computers21257--0.190--
2016-02-23Mark RoseManual testing257258--0.190--
2009-01-05Sturle Sundeginglo.ifi258259--0.381--
2009-01-24Sturle Sundegonzo.ifi259260--0.762--
2013-10-09lycornasteroid260261--1.523--
2015-07-11NRManual testing261262--3.046--
2016-02-04monstedManual testing262263--9.73--
2016-02-17Gordon SpenceManual testing263264--19.47--
2017-10-23BloodERazorManual testing264265--37.05--
2019-02-09BloodERazorManual testing265266--74.10--
2020-01-22Gordon SpenceManual testing266267--148.2--
2022-04-13Gordon SpenceManual testing267268--296.4--


ECM factoring results:
Total ECM effort:306.412 GHz-days
Estimated T-Level:36.414
DigitsB1CompleteFacMiss
2011000488.9290.000%
2550000103.4920.000%
3025000017.5240.000%
3510000002.4288.822%
4030000000.28375.369%
45110000000.02997.178%
50440000000.00399.744%


ECM Summary

B1B2factorcurvesGHz-days
50000500000010.002
250000250000005846.779
10000001000000001,77082.18
30000003000000141.322
300000030000000042659.34
30000005706890290164156.8


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1997-01-01Robert Clark5F2D441622B2ACDB0.000
2016-06-01MadPooManual testing5F2D441622B2ACDB0.000


PRP results:
No PRP results for M100847


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 = 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