is 2 2290207 - 1
has 689422 decimal digits
takes 0.155 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L9BCF93ABB47F58A2double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26826.026067.6471 %3000000900000000.75827.6813 %26.784270.1322 %
Target2620.268364.5161 %1200010000000.00641.7361 %0.274765.1322 %
Difference+6+25.7577+3.1309 %+2988000+89000000+0.7517+5.9452%+26.5095+5.0000 %

Known prime factors (1 factor, 74.2 bits, 0.00323979% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2290207216679336669427911900092374.1984730562273834372
22 × 3 × 37 × 10654419535663
2020-03-1837106544195356631,670.556,861106,201

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2003-08-08ANONYMOUSv4_computers2048204800--0.0010.788%
2010-11-07JossManual testing1500015000--0.0020.585%
2010-11-15JossManual testing2000020000--0.0020.721%
2010-11-28Oscar Östlin7501175011--0.0081.603%
2011-01-16Oscar Östlin8500017425006--0.0184.504%
2014-06-11JossManual testing113026113026--0.0111.966%
2014-10-03JossManual testing141052141052--0.0142.180%
2016-01-01JossManual testing35982435982406--0.0546.178%
2019-10-01BigBrotherWinston30000009000000012--0.73812.221%


Trial Factoring results:
575859606162636465666768
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2016-02-23Mark RoseManual testing212600.067
2009-01-11Sturle Sundehindemith.ifi2602610.067
2012-05-12Sebastian HornbostelManual testing2612620.134
2013-01-23dbaughManual testing2622630.429
2015-03-12VictordeHollanderManual testing2632640.857
2015-03-12VictordeHollanderManual testing2642651.631
2015-11-02ramgeisManual testing2652663.263
2017-05-20Gordon SpenceManual testing2662676.526
2019-06-17TJAOIManual testing26726813.05


ECM factoring results:
Total ECM effort:4.025 GHz-days
Estimated T-Level:20.854
DigitsB1CompleteFacMiss
20110001.84615.784%
25500000.17184.297%
302500000.01198.928%


ECM Summary

B1B2factorcurvesGHz-days
500005000000453.766
50000500000030.258


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-03-15ANONYMOUSv4_computers9BCF93ABB47F58A20.155


PRP results:
dateuseridcompidcofactorsres64
2020-03-19ANONYMOUSdory
21667933666942791190009
48B885CDC1D9A854
2020-03-19oodairacom1
21667933666942791190009
48B885CDC1D9A854


CERT results:
No CERT results for M2290207


P-1 factor-bounds graph:
B1 = 3000000, B2 = 90000000 (P-1 stage 2)
B1 = 3000000 (P-1 stage 1)
B1 = 359824, B2 = 3598240 (P-1 stage 2)
B1 = 359824 (P-1 stage 1)
B1 = 85000, B2 = 1742500 (P-1 stage 2)
B1 = 141052 (P-1 stage 1)
B1 = 113026 (P-1 stage 1)
B1 = 85000 (P-1 stage 1)
B1 = 75011 (P-1 stage 1)
B1 = 20000 (P-1 stage 1)
B1 = 15000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
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107
100
101
102
103
104
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109
1010
1011
1012
1013
1014
TF factor-bounds graph:
268
267
266
265
264
263
262
261
260
this exponent TF target: 62
TF double-checked to: 67
ECM T-Level=20.85 ~= 53-bit
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Last modified: 2024-02-29T14:28:04+00:00