is 2 734933 - 1
has 221237 decimal digits
takes 0.015 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LD711506A3D9E9B74double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26740.430870.1493 %200000052194928508.290111.8842 %48.720973.6968 %
Target2440.000054.5455 %1200022500000.003916.5919 %0.003962.0872 %
Difference+23+40.4308+15.6038 %+1988000+5217242850+8.2862-4.7078 %+48.7170+11.6095 %

Known prime factors (1 factor, 88.3 bits, 0.01201498% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
7349333815633547256903166797174332788.302259590571334863393452
22 × 3 × 61357 × 133201 × 2646891053
2014-01-23133201264689105385,294,6934.17997.8001

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2002-01-02ANONYMOUSv4_computers2000200000--0.00011.769%
2002-02-03ANONYMOUSv4_computers4096409600--0.00114.672%
2002-03-24ANONYMOUSv4_computers8192819200--0.00217.456%
2002-05-11ANONYMOUSv4_computers163841638400--0.00320.206%
2002-07-14ANONYMOUSv4_computers32768327680012--0.00622.913%
2002-11-16ANONYMOUSv4_computers65537655370012--0.01225.571%
2003-06-23ANONYMOUSv4_computers1310721310720012--0.02428.172%
2011-07-10JossManual testing297169297169--0.00916.441%
2011-08-24JossManual testing495282495282--0.01418.024%
2011-10-15JossManual testing990565990565--0.02920.166%
2012-03-29JossManual testing14858481485848--0.04321.411%
2013-10-29David Campeaui5-2500k15200005168000012--0.10833.653%
2016-03-17alpertronManual testing5000001500000012---29.518%
2023-01-14USAFSS6917th_Scty_Sq20000005219492850
skipped known factor: 381563354725690316679717433
--10.0746.342%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2000-05-31ANONYMOUSv4_computers212550.007
2001-03-25ANONYMOUSv4_computers212560.013
2001-12-01ANONYMOUSv4_computers212570.026
2003-10-08ANONYMOUSv4_computers212580.052
2008-10-15Sturle Sundeletov.ifi2582590.052
2008-10-15Sturle Sundeletov.ifi2592600.104
2010-06-11Architects Cubeda3_s22602610.209


ECM factoring results:
Total ECM effort:11.205 GHz-days
Estimated T-Level:25.643
DigitsB1CompleteFacMiss
201100014.3080.000%
25500001.57320.733%
302500000.12987.934%
3510000000.00999.143%


ECM Summary

B1B2factorcurvesGHz-days
10.259
5000050000002685.961
25000025000000444.984


Lucas-Lehmer results:
No L-L results for M734933


PRP results:
dateuseridcompidcofactorsres64
2017-09-27Oliver KruseGTX-0
381563354725690316679717433
1E0E7C5991EADB08
2017-10-13Oliver KruseThreadripper-PC
381563354725690316679717433
1E0E7C5991EADB08
2017-12-16ATHec2-1xh
381563354725690316679717433
1E0E7C5991EADB08
2020-04-20Oliver KruseAddPrpType5
381563354725690316679717433
47786AF15D6EA563


CERT results:
No CERT results for M734933


P-1 factor-bounds graph:
B1 = 2000000, B2 = 5219492850 (P-1 stage 2)
B1 = 1520000, B2 = 51680000 (P-1 stage 2)
B1 = 2000000 (P-1 stage 1)
B1 = 1520000 (P-1 stage 1)
B1 = 1485848 (P-1 stage 1)
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 990565 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
B1 = 495282 (P-1 stage 1)
B1 = 65537, B2 = 6553700 (P-1 stage 2)
B1 = 297169 (P-1 stage 1)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 131072 (P-1 stage 1)
B1 = 16384, B2 = 1638400 (P-1 stage 2)
B1 = 65537 (P-1 stage 1)
B1 = 8192, B2 = 819200 (P-1 stage 2)
B1 = 32768 (P-1 stage 1)
B1 = 4096, B2 = 409600 (P-1 stage 2)
B1 = 16384 (P-1 stage 1)
B1 = 2000, B2 = 200000 (P-1 stage 2)
B1 = 8192 (P-1 stage 1)
B1 = 4096 (P-1 stage 1)
B1 = 2000 (P-1 stage 1)
102
103
104
105
106
107
102
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
261
260
259
258
257
256
255
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=25.64 ~= 69-bit
250
260
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Last modified: 2024-03-03T02:29:32+00:00