is 2 2330681 - 1
has 701605 decimal digits
takes 0.157 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L361A22466DE7BB72double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26712.749067.1642 %50000004650000002.944710.8703 %15.693870.7335 %
Target2620.263664.5161 %1300010000000.00651.7836 %0.270165.1490 %
Difference+5+12.4854+2.6481 %+4987000+464000000+2.9382+9.0867%+15.4236+5.5845 %

Known prime factors (1 factor, 65.2 bits, 0.00279686% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2330681419698510815932588092065.1869003774236284
22 × 359 × 6270037769
2015-05-1635962700377693.130333.46362.499

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2003-09-21ANONYMOUSv4_computers2048204800--0.0010.791%
2010-02-22Budannan5000001000000012--0.1027.760%
2018-03-18alpertronManual testing5000001500000012---8.324%
2021-04-20ViliamF35000000465000000---15.335%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2009-01-17Sturle Sundeklengel.ifi2602610.066
2012-05-27Sebastian HornbostelManual testing2612620.132
2013-12-03Luigi MorelliManual testing2622630.421
2015-03-03VictordeHollanderManual testing2632640.842
2015-03-03VictordeHollanderManual testing2642651.603


ECM factoring results:
Total ECM effort:16.174 GHz-days
Estimated T-Level:21.559
DigitsB1CompleteFacMiss
20110003.2593.842%
25500000.31273.214%
302500000.02098.015%


ECM Summary

B1B2factorcurvesGHz-days
50000440000070.590
500005000000120.941
50000500000010.091
50000324289355014.55


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-03-01ANONYMOUSv4_computers361A22466DE7BB720.157


PRP results:
dateuseridcompidcofactorsres64
2017-09-30alpertronManual testing
41969851081593258809
54B25316AAE89A68
2017-10-31Oliver KruseGTX-0
41969851081593258809
54B25316AAE89A68


CERT results:
No CERT results for M2330681


P-1 factor-bounds graph:
B1 = 5000000, B2 = 465000000 (P-1 stage 2)
B1 = 5000000 (P-1 stage 1)
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 500000, B2 = 10000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
101
102
103
104
105
106
107
101
102
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
265
264
263
262
261
this exponent TF target: 62
TF double-checked to: 67
ECM T-Level=21.56 ~= 55-bit
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Last modified: 2024-02-29T14:28:04+00:00