is 2 195229 - 1
has 58770 decimal digits
takes 0.001 GHz-days to do one PRP test
Last-known PrimeNet details:
Assigned as ecm on 2023-11-07, 0.0% done, ETC 2023-12-17
0 primality tests remaining
ResidueStatus
L-L59334B7C8683DB1Fdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual267152.200373.1343%13690506982386490886703,002.022324.7091%3,154.222679.7726%
Target2440.000059.0909%36004000000.00028.8299%0.000262.7031%
Difference+23+152.2003+14.0434%+136901469+8238648688670+3,002.0221+15.8792%+3,154.2224+17.0695%

Known prime factors:
No known factors for M195229

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-05-06ANONYMOUSv4_computers10000010000000---0.004--2.612%
2002-06-02ANONYMOUSv4_computers327683276800---0.001--1.485%
2002-07-27ANONYMOUSv4_computers655366553600---0.003--2.145%
2003-02-16ANONYMOUSv4_computers13107213107200---0.006--2.935%
2003-10-08ANONYMOUSv4_computers26214426214400---0.011--3.840%
2006-02-01Jocelyn Larouchev4_computers10000001000000---0.007--1.922%
2009-02-03axnManual testing5000000200000000---0.104--7.695%
2013-10-07alpertronManual testing1000000002000000000---1.361--12.309%
2023-01-24Jocelyn LaroucheManual testing100000074759955270---27.24--12.420%
2023-04-15JacobZSystem76-21369050698238649088670---3,002--24.709%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2023-02-09masserManual testing3000000099000000027--0.648
2023-02-11masserManual testing300000009600000008813--0.637
2023-02-25masserManual testing3000000084000000065--0.594


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-11-17ANONYMOUSv4_computers252253--0.003--
2000-04-27ANONYMOUSv4_computers21254--0.012--
2022-03-07LordJuliusManual testing254255--0.012--
2001-01-28ANONYMOUSv4_computers21256--0.049--
2002-04-28ANONYMOUSv4_computers21257--0.098--
2016-02-23Mark RoseManual testing257258--0.098--
2008-12-30Sturle Sundenouchcraft.ifi258259--0.197--
2009-01-24Sturle Sundenouchcraft.ifi259260--0.393--
2013-10-27Sid & AndyBuzz260261--0.787--
2015-08-25NRManual testing261262--1.573--
2016-01-10Gordon SpenceManual testing262263--5.028--
2016-01-10Gordon SpenceManual testing263264--10.06--
2018-01-04BloodERazorManual testing264265--19.14--
2019-12-12Gordon SpenceManual testing265266--38.28--


ECM factoring results:
Total ECM effort:70.682 GHz-days
Estimated T-Level:31.246
DigitsB1CompleteFacMiss
2011000104.5390.000%
255000017.7650.000%
302500002.3199.839%
3510000000.24977.943%
4030000000.02397.749%
45110000000.00299.821%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002761.346
2500002500000058514.27
10000008682271470.653
100000010000000018317.85
100000014160948270.777
100000023662575303125.62
1000000266204620587.373
1000000413504091022.791


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1997-01-01Martin Eibl59334B7C8683DB1F0.001
2016-06-01MadPooManual testing59334B7C8683DB1F0.001


PRP results:
No PRP results for M195229


P-1 factor-bounds graph:
B1 = 136905069, B2 = 8238649088670 (P-1 stage 2)
B1 = 1000000, B2 = 74759955270 (P-1 stage 2)
B1 = 100000000, B2 = 2000000000 (P-1 stage 2)
B1 = 136905069 (P-1 stage 1)
B1 = 100000000 (P-1 stage 1)
B1 = 5000000, B2 = 200000000 (P-1 stage 2)
B1 = 5000000 (P-1 stage 1)
B1 = 262144, B2 = 26214400 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
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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this exponent TF target: 44
TF double-checked to: 67.9
ECM T-Level=31.25 ~= 87-bit
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Last modified: 2023-12-06T20:01:04+00:00