is 2 2730569 - 1
has 821984 decimal digits
takes 0.211 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LBBE11B58AB9A06C1double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26710.882067.1642 %3000002351279701.46647.5628 %12.348469.6475 %
Target2630.584565.0794 %1400012000000.00881.7067 %0.593365.6754 %
Difference+4+10.2975+2.0848 %+286000+233927970+1.4576+5.8561%+11.7551+3.9721 %

Known prime factors (1 factor, 66.0 bits, 0.00241887% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2730569763259645344554683532066.04913976201395104
25 × 3 × 13 × 11198879323
2016-02-0832111988793235.408668.332127.62

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2003-11-16ANONYMOUSv4_computers2048204800--0.0010.677%
2003-11-28Team Prime Ribv4_computers15000225000--0.0031.710%
2010-12-19JossManual testing2000020000--0.0020.634%
2010-12-28JossManual testing3000030000--0.0040.838%
2011-01-19JossManual testing5000050000--0.0061.148%
2011-04-26James HeinrichWHS18500046250006--0.0485.618%
2023-02-25USAFSS6917th_Scty_Sq300000235127970--1.61610.762%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2016-02-23Mark RoseManual testing212600.056
2009-01-30Sturle Sundegibus.ifi2602610.056
2012-04-13markroldgamer2612620.112
2013-01-10dbaughManual testing2622630.360
2015-04-13VictordeHollanderManual testing2632640.719
2015-04-13VictordeHollanderManual testing2642651.368
2016-02-01ramgeisManual testing2652662.737


ECM factoring results:
Total ECM effort:1.307 GHz-days
Estimated T-Level:2.692
DigitsB1CompleteFacMiss
20110000.53858.365%
25500000.05095.140%
302500000.00399.686%


ECM Summary

B1B2factorcurvesGHz-days
500005000000121.100
50000500000020.208


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-04-23ANONYMOUSv4_computersBBE11B58AB9A06C10.211


PRP results:
dateuseridcompidcofactorsres64
2017-10-20Oliver KruseGTX-0
76325964534455468353
9B5CEAD3A30C3E4A
2017-12-05kkmrkkblmbrbkc4.xlarge
76325964534455468353
9B5CEAD3A30C3E4A


CERT results:
No CERT results for M2730569


P-1 factor-bounds graph:
B1 = 300000, B2 = 235127970 (P-1 stage 2)
B1 = 185000, B2 = 4625000 (P-1 stage 2)
B1 = 300000 (P-1 stage 1)
B1 = 185000 (P-1 stage 1)
B1 = 50000 (P-1 stage 1)
B1 = 30000 (P-1 stage 1)
B1 = 15000, B2 = 225000 (P-1 stage 2)
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)
100
101
102
103
104
105
106
100
101
102
103
104
105
106
107
108
109
1010
1011
TF factor-bounds graph:
266
265
264
263
262
261
260
this exponent TF target: 63
TF double-checked to: 67
ECM T-Level=2.69 ~= -8-bit
250
260
270
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Last modified: 2024-02-29T14:28:04+00:00