is 2 229529 - 1
has 69096 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-L8F582150B58AAD88double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual267129.456073.1343 %30000000100708329922204,464.407323.3015 %4,593.863379.3944 %
Target2440.000059.0909 %40005000000.00039.6641 %0.000363.0444 %
Difference+23+129.4560+14.0434 %+29996000+10070832492220+4,464.4070+13.6374%+4,593.8630+16.3500 %

Known prime factors (1 factor, 98.9 bits, 0.04307236% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2295295766326924503915832954995096093098.8641256121650097354981931476
22 × 3 × 86161 × 54139867 × 22439983829
2011-09-1954139867224399838292.797e+1110.36418.578

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2001-05-20ANONYMOUSv4_computers10000010000000--0.00524.749%
2002-06-02ANONYMOUSv4_computers32768327680012--0.00220.559%
2002-08-03ANONYMOUSv4_computers65536655360012--0.00323.176%
2003-02-24ANONYMOUSv4_computers1310721310720030--0.00725.748%
2003-10-23ANONYMOUSv4_computers2621442621440012--0.01428.268%
2011-07-24JossManual testing22395872239587--0.01820.703%
2021-06-25Oliver KruseOllaptop300000003000000000--1.56143.846%
2022-03-21Oliver KruseThreadripper-PC3000000010070832992220--5,54762.929%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1999-11-17ANONYMOUSv4_computers2522530.003
2000-04-19ANONYMOUSv4_computers212540.010
2022-03-07LordJuliusManual testing254255
2001-02-11ANONYMOUSv4_computers212560.042
2002-04-14ANONYMOUSv4_computers212570.084
2022-03-07LordJuliusManual testing257258
2009-01-01Sturle Sundedoak.ifi2582590.167
2009-01-29Sturle Sundeeames.ifi2592600.335


ECM factoring results:
Total ECM effort:19.417 GHz-days
Estimated T-Level:29.982
DigitsB1CompleteFacMiss
201100065.3920.000%
25500009.4540.008%
302500000.99636.920%
3510000000.08292.127%
4030000000.00599.453%


ECM Summary

B1B2factorcurvesGHz-days
10.030
5000050000002821.642
2500002500000060017.75


Lucas-Lehmer results:
No L-L results for M229529


PRP results:
dateuseridcompidcofactorsres64
2017-09-22Oliver KruseOllaptop
576632692450391583295499509609
EF4A4F3EF1A31428
2017-09-22Oliver KruseManual testing
576632692450391583295499509609
EF4A4F3EF1A31428
2017-10-12kkmrkkblmbrbkc4.xlarge
576632692450391583295499509609
EF4A4F3EF1A31428
2020-04-17Oliver KruseAddPrpType5
576632692450391583295499509609
57AFF97B28509C21
2024-02-03Wentao HuangManual testing
576632692450391583295499509609
57AFF97B28509C21


CERT results:
dateuseridcompid
2024-02-03Naegi Makoto5700X


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 = 2239587 (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
TF factor-bounds graph:
260
259
258
257
256
255
254
253
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=29.98 ~= 83-bit
250
260
270
280
290
2100
JSON version of this page
Last modified: 2024-02-29T14:28:04+00:00