is 2 592121 - 1
has 178247 decimal digits
takes 0.009 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L6F9364CAE4952E0Edouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26750.182270.1493 %175000053997843906.518111.5391 %56.700373.5938 %
Target2440.000054.5455 %1000018000000.002415.4039 %0.002461.5472 %
Difference+23+50.1822+15.6038 %+1740000+5397984390+6.5158-3.8648 %+56.6979+12.0465 %

Known prime factors (1 factor, 84.1 bits, 0.01421056% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
592121213691274135147121418350712684.14418044561342626517335
5 × 74 × 13 × 139 × 439 × 1894791779
2009-07-07240118947917796,867,2992.27454.2480

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2000-12-31Alex Kruppav4_computers200040000--8.97000e-58.274%
2001-06-23Alex Kruppav4_computers1000004000000--0.00724.215%
2002-05-05ANONYMOUSv4_computers163841638400--0.00219.768%
2002-07-06ANONYMOUSv4_computers32768327680012--0.00522.466%
2002-09-22ANONYMOUSv4_computers65536655360012--0.00925.117%
2003-06-01ANONYMOUSv4_computers1310721310720012--0.01827.713%
2022-12-31USAFSSUSAFSACS17500005399784390
skipped known factor: 21369127413514712141835071
--7.54345.782%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2000-04-12ANONYMOUSv4_computers212540.004
2022-03-07LordJuliusManual testing254255
2001-04-08ANONYMOUSv4_computers212560.016
2002-01-02ANONYMOUSv4_computers212570.032
2003-11-16ANONYMOUSv4_computers212580.065


ECM factoring results:
Total ECM effort:18.063 GHz-days
Estimated T-Level:26.500
DigitsB1CompleteFacMiss
201100024.7310.000%
25500003.1284.382%
302500000.30074.084%
3510000000.02397.713%
4030000000.00199.851%


ECM Summary

B1B2factorcurvesGHz-days
10.029
5000050000002794.672
25000025000000443.723
250000350000001009.64


Lucas-Lehmer results:
No L-L results for M592121


PRP results:
dateuseridcompidcofactorsres64
2017-09-27Oliver KruseGTX-2
21369127413514712141835071
E1D2FABC866703B5
2017-09-28Oliver KruseManual testing
21369127413514712141835071
E1D2FABC866703B5
2017-11-08kkmrkkblmbrbkc4.xlarge
21369127413514712141835071
E1D2FABC866703B5
2020-04-19Oliver KruseAddPrpType5
21369127413514712141835071
0373813C5092870D


CERT results:
No CERT results for M592121


P-1 factor-bounds graph:
B1 = 1750000, B2 = 5399784390 (P-1 stage 2)
B1 = 1750000 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 100000, B2 = 4000000 (P-1 stage 2)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 131072 (P-1 stage 1)
B1 = 16384, B2 = 1638400 (P-1 stage 2)
B1 = 100000 (P-1 stage 1)
B1 = 65536 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
B1 = 16384 (P-1 stage 1)
B1 = 2000, B2 = 40000 (P-1 stage 2)
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:
258
257
256
255
254
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=26.5 ~= 71-bit
250
260
270
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290
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Last modified: 2024-03-13T02:15:48+00:00