is 2 2780053 - 1
has 836880 decimal digits
takes 0.215 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L6FC0743373CBC00Ddouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26710.688367.1642 %3000002351279701.46647.5783 %12.154769.6526 %
Target2630.574165.0794 %1500012000000.00891.7475 %0.583065.6896 %
Difference+4+10.1142+2.0848 %+285000+233927970+1.4575+5.8308%+11.5717+3.9630 %

Known prime factors (1 factor, 98.9 bits, 0.00355608% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
27800535756092417566934529045490539933098.861103524868367022760520132
22 × 317 × 347 × 677 × 5021 × 125287 × 552473
2016-08-271252875524734.214e+100.01660.0286

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2003-11-17ANONYMOUSv4_computers2048204800--0.0010.681%
2010-11-10JossManual testing1500015000--0.0020.514%
2010-11-26markrtiny11000023925006--0.0294.601%
2016-08-27JossManual testing1420004785000623098.8610.0495.479%
2023-02-26USAFSS6917th_Scty_Sq300000235127970
skipped known factor: 575609241756693452904549053993
--1.61610.782%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2016-02-23Mark RoseManual testing212600.055
2009-01-27Sturle Sundegicy.ifi2602610.055
2012-03-13Grant McCrackenhome2612620.110
2013-01-14dbaughManual testing2622630.353
2015-04-21VictordeHollanderManual testing2632652.050
2015-12-20omylistManual testing2652662.688


ECM factoring results:
Total ECM effort:1.710 GHz-days
Estimated T-Level:3.462
DigitsB1CompleteFacMiss
20110000.69250.042%
25500000.06493.795%
302500000.00499.597%


ECM Summary

B1B2factorcurvesGHz-days
500005000000181.710


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-05-02PHeedev4_computers6FC0743373CBC00D0.215


PRP results:
dateuseridcompidcofactorsres64
2017-10-21Oliver KruseGTX-1
575609241756693452904549053993
F63B90592217779B
2017-12-06kkmrkkblmbrbkc4.xlarge
575609241756693452904549053993
F63B90592217779B


CERT results:
No CERT results for M2780053


P-1 factor-bounds graph:
B1 = 300000, B2 = 235127970 (P-1 stage 2)
B1 = 142000, B2 = 4785000 (P-1 stage 2)
B1 = 300000 (P-1 stage 1)
B1 = 110000, B2 = 2392500 (P-1 stage 2)
B1 = 142000 (P-1 stage 1)
B1 = 110000 (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
109
TF factor-bounds graph:
266
265
263
262
261
260
this exponent TF target: 63
TF double-checked to: 67
ECM T-Level=3.46 ~= -5-bit
250
260
270
280
290
2100
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Last modified: 2024-03-13T02:15:48+00:00