is 2 933263 - 1
has 280941 decimal digits
takes 0.023 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L43AAFCBA118739EAdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26731.838770.1493 %870000261000000.07895.5186 %31.917771.7966 %
Target2440.000054.5455 %1500030000000.006218.0573 %0.006262.7533 %
Difference+23+31.8387+15.6038 %+855000+23100000+0.0727-12.5387 %+31.9114+9.0433 %

Known prime factors (1 factor, 75.1 bits, 0.00804620% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
933263402721185216957434620812375.09221575975111890080
25 × 3 × 5 × 7 × 281 × 22852032613
2014-04-09281228520326138,199.143.77981.767

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2002-01-08ANONYMOUSv4_computers2000200000--0.00012.210%
2002-02-24ANONYMOUSv4_computers4096409600--0.00115.135%
2002-04-28ANONYMOUSv4_computers8192819200--0.00217.934%
2002-05-25ANONYMOUSv4_computers163841638400--0.00420.696%
2002-07-27ANONYMOUSv4_computers32768327680012--0.00723.413%
2002-12-31ANONYMOUSv4_computers65536655360012--0.01526.078%
2003-09-09ANONYMOUSv4_computers1310721310720012--0.02928.684%
2011-06-01JossManual testing200000200000--0.00715.597%
2011-07-14JossManual testing218008218008--0.00815.865%
2011-09-18JossManual testing363347363347--0.01317.457%
2012-01-09JossManual testing726695726695--0.02619.614%
2013-10-17David Campeaui5-2500k8700002610000012--0.07931.900%
2016-03-17alpertronManual testing20000050000006---26.265%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2000-06-28ANONYMOUSv4_computers212550.005
2000-06-29ANONYMOUSv4_computers212550.005
2000-12-07ANONYMOUSv4_computers212560.010
2001-10-20ANONYMOUSv4_computers212570.021
2003-08-25ANONYMOUSv4_computers212580.041
2022-03-07LordJuliusManual testing258260
2010-05-23Architects Cubeda3_bu22602610.165


ECM factoring results:
Total ECM effort:14.018 GHz-days
Estimated T-Level:25.647
DigitsB1CompleteFacMiss
201100014.4620.000%
25500001.58820.440%
302500000.12987.855%
3510000000.00999.139%


ECM Summary

B1B2factorcurvesGHz-days
10.254
5000050000002727.558
25000025000000446.205


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2001-12-01ANONYMOUSv4_computers43AAFCBA118739EA0.023


PRP results:
dateuseridcompidcofactorsres64
2017-09-28Oliver KruseGTX-2
40272118521695743462081
0F85917BEA28D26B
2017-10-14Oliver KruseThreadripper-PC
40272118521695743462081
0F85917BEA28D26B
2017-12-22ATHec2-1xh
40272118521695743462081
0F85917BEA28D26B
2020-04-23Oliver KruseAddPrpType5
40272118521695743462081
FFF63BE149CAEEE9


CERT results:
No CERT results for M933263


P-1 factor-bounds graph:
B1 = 870000, B2 = 26100000 (P-1 stage 2)
B1 = 870000 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 726695 (P-1 stage 1)
B1 = 200000, B2 = 5000000 (P-1 stage 2)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 363347 (P-1 stage 1)
B1 = 218008 (P-1 stage 1)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 200000 (P-1 stage 1)
B1 = 131072 (P-1 stage 1)
B1 = 16384, B2 = 1638400 (P-1 stage 2)
B1 = 65536 (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)
101
102
103
104
105
106
101
102
103
104
105
106
107
108
109
1010
1011
TF factor-bounds graph:
261
260
258
257
256
255
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=25.65 ~= 69-bit
250
260
270
280
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Last modified: 2024-03-03T02:29:32+00:00