is 2 2207411 - 1
has 664497 decimal digits
takes 0.145 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L07805CB08096DF8Ddouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26713.461067.1642 %500000150000000.12305.1842 %13.584068.8664 %
Target2620.278364.5161 %110008500000.00541.6011 %0.283765.0843 %
Difference+5+13.1827+2.6481 %+489000+14150000+0.1176+3.5830%+13.3002+3.7822 %

Known prime factors (1 factor, 68.6 bits, 0.00310704% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
22074114427785651502648067372168.585100293639279288
23 × 3 × 7 × 13 × 19483 × 2357029
2015-11-0919483235702927.0020.01400.0229

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2003-03-16ANONYMOUSv4_computers204820480012--0.0010.780%
2010-11-05JossManual testing1500015000--0.0010.580%
2010-11-14JossManual testing2000020000--0.0020.715%
2011-01-01JossManual testing3000030000--0.0030.938%
2011-01-09markrtiny9000016425006--0.0174.460%
2014-06-24JossManual testing119077119077--0.0112.003%
2014-10-17JossManual testing148154148154--0.0142.215%
2015-11-09Alexander DubrovinManual testing10000002500000622168.5850.1035.975%
2016-04-14alpertronManual testing5000001500000012
skipped known factor: 442778565150264806737
---8.274%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1998-02-08ANONYMOUSv4_computers212570.009
1999-02-07ANONYMOUSv4_computers212580.017
2022-03-09LordJuliusManual testing21260
2009-01-02Sturle Sundebuxtehude.ifi2602610.070
2009-01-08Sturle Sundegilia.ifi2612620.139
2013-12-04LaurVManual testing2622630.445
2015-03-06VictordeHollanderManual testing2632640.889
2015-03-06VictordeHollanderManual testing2642651.693
2015-10-21ramgeisManual testing2652663.385


ECM factoring results:
Total ECM effort:16.442 GHz-days
Estimated T-Level:21.848
DigitsB1CompleteFacMiss
20110003.8852.056%
25500000.37069.097%
302500000.02497.657%
3510000000.00199.887%


ECM Summary

B1B2factorcurvesGHz-days
500005000000362.944
50000311301905013.50


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-02-08ANONYMOUSv4_computers07805CB08096DF8D0.145
1999-02-07ANONYMOUSv4_computers07805CB08096DF8D0.145


PRP results:
dateuseridcompidcofactorsres64
2017-09-30alpertronManual testing
442778565150264806737
27CE757D229AAD8B
2017-10-25Oliver KruseGTX-3
442778565150264806737
27CE757D229AAD8B


CERT results:
No CERT results for M2207411


P-1 factor-bounds graph:
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 1000000, B2 = 2500000 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 500000 (P-1 stage 1)
B1 = 90000, B2 = 1642500 (P-1 stage 2)
B1 = 148154 (P-1 stage 1)
B1 = 119077 (P-1 stage 1)
B1 = 90000 (P-1 stage 1)
B1 = 30000 (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)
102
103
104
105
106
102
103
104
105
106
107
108
TF factor-bounds graph:
266
265
264
263
262
261
260
258
257
this exponent TF target: 62
TF double-checked to: 67
ECM T-Level=21.85 ~= 56-bit
250
260
270
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Last modified: 2024-02-29T14:28:04+00:00