is 2 208003 - 1
has 62616 decimal digits
takes 0.001 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LBAAB02ED582787AFdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual267142.853373.1343 %30000000100708329922203,668.770323.1755 %3,811.623679.3606 %
Target2440.000059.0909 %36004000000.00028.9232 %0.000262.7413 %
Difference+23+142.8533+14.0434 %+29996400+10070832592220+3,668.7701+14.2522%+3,811.6235+16.6193 %

Known prime factors (1 factor, 96.7 bits, 0.04650524% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2080031316208255002789333933965601293096.732316391651803769497058688
27 × 3 × 132 × 22811 × 213728659727123
2010-08-27228112137286597271237.715e+1077,857145,414

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2001-04-29ANONYMOUSv4_computers10000010000000--0.00424.550%
2002-06-02ANONYMOUSv4_computers32768327680012--0.00120.365%
2002-07-27ANONYMOUSv4_computers65536655360012--0.00322.979%
2003-02-16ANONYMOUSv4_computers1310721310720030--0.00625.548%
2003-10-14ANONYMOUSv4_computers2621442621440012--0.01128.066%
2009-03-15axnManual testing500000020000000012--0.10435.436%
2021-05-12Oliver KruseOllaptop300000003000000000--1.28243.647%
2022-02-13Oliver KruseThreadripper-PC3000000010070832992220--5,54762.708%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1999-11-17ANONYMOUSv4_computers2522530.003
2000-04-12ANONYMOUSv4_computers212540.012
2022-03-07LordJuliusManual testing254255
2001-02-04ANONYMOUSv4_computers212560.046
2001-02-11ANONYMOUSv4_computers212560.046
2002-03-16ANONYMOUSv4_computers212570.092
2022-03-07LordJuliusManual testing257258
2008-12-31Sturle Sundeakerman.ifi2582590.185
2009-01-24Sturle Sundeothello.ifi2592600.369
2010-06-08Architects Cubedm1_tt2602610.738


ECM factoring results:
Total ECM effort:19.211 GHz-days
Estimated T-Level:29.443
DigitsB1CompleteFacMiss
201100057.7680.000%
25500008.4010.022%
302500000.88941.122%
3510000000.07392.915%
4030000000.00599.507%


ECM Summary

B1B2factorcurvesGHz-days
10.022
5000050000002761.209
250000250000003718.957
25000031250000140.370
2500003375000070.191
25000036000000210.588
25000037504113140.399
2500003850000070.202
250000235419030505.619
25000055133578571.655


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2002-12-25ANONYMOUSv4_computersBAAB02ED582787AF0.001


PRP results:
dateuseridcompidcofactorsres64
2017-09-22Oliver KruseOllaptop
131620825500278933393396560129
31EE2A6FA27BC068
2017-09-22Oliver KruseManual testing
131620825500278933393396560129
31EE2A6FA27BC068
2017-10-12kkmrkkblmbrbkc4.xlarge
131620825500278933393396560129
31EE2A6FA27BC068
2020-04-17Oliver KruseAddPrpType5
131620825500278933393396560129
50F79AF29871BDBE
2023-08-03USAFSSUSAFSACS
131620825500278933393396560129
50F79AF29871BDBE


CERT results:
dateuseridcompid
2023-08-03kutens


P-1 factor-bounds graph:
B1 = 30000000, B2 = 10070832992220 (P-1 stage 2)
B1 = 30000000, B2 = 3000000000 (P-1 stage 2)
B1 = 30000000 (P-1 stage 1)
B1 = 5000000, B2 = 200000000 (P-1 stage 2)
B1 = 5000000 (P-1 stage 1)
B1 = 262144, B2 = 26214400 (P-1 stage 2)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 100000, B2 = 10000000 (P-1 stage 2)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 262144 (P-1 stage 1)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 131072 (P-1 stage 1)
B1 = 100000 (P-1 stage 1)
B1 = 65536 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
103
104
105
106
107
108
103
104
105
106
107
108
109
1010
1011
1012
1013
1014
1015
TF factor-bounds graph:
261
260
259
258
257
256
255
254
253
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=29.44 ~= 81-bit
250
260
270
280
290
2100
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Last modified: 2024-02-29T14:28:04+00:00