is 2 529237 - 1
has 159317 decimal digits
takes 0.008 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LC01142504EDA144Ddouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26756.144870.1493 %1500000018150000002.390912.1177 %58.535873.7665 %
Target2440.000054.5455 %900015000000.001914.6223 %0.001961.1919 %
Difference+23+56.1448+15.6038 %+14991000+1813500000+2.3890-2.5045 %+58.5338+12.5746 %

Known prime factors (1 factor, 74.4 bits, 0.01405365% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
529237245328092611551286070392374.37723177526572362787
23 × 239 × 6173 × 683038327
2010-12-0961736830383277,229.00.78701.4697

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2001-12-22ANONYMOUSv4_computers2000200000--0.00011.176%
2002-01-22ANONYMOUSv4_computers4096409600--0.00114.048%
2002-03-03ANONYMOUSv4_computers8192819200--0.00116.810%
2002-04-28ANONYMOUSv4_computers163841638400--0.00219.542%
2002-04-28ANONYMOUSv4_computers163841638400--0.00219.542%
2002-05-11ANONYMOUSv4_computers500001000000--0.00219.560%
2002-06-23ANONYMOUSv4_computers32768327680012--0.00422.235%
2002-09-07ANONYMOUSv4_computers65536655360012--0.00924.882%
2003-05-04ANONYMOUSv4_computers1310721310720030--0.01827.476%
2016-03-17alpertronManual testing15000005000000012---32.872%
2021-08-29ViliamF3150000001815000000
skipped known factor: 24532809261155128607039
--2.39144.038%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2000-03-15ANONYMOUSv4_computers2532540.002
2022-03-07LordJuliusManual testing254255
2001-04-08ANONYMOUSv4_computers212560.018
2002-01-02ANONYMOUSv4_computers212570.036
2003-12-23ANONYMOUSv4_computers212580.073


ECM factoring results:
Total ECM effort:15.896 GHz-days
Estimated T-Level:26.434
DigitsB1CompleteFacMiss
201100023.8600.000%
25500003.0254.858%
302500000.28775.066%
3510000000.02297.833%
4030000000.00199.860%


ECM Summary

B1B2factorcurvesGHz-days
10.016
5000050000002804.279
2500002500000014411.60


Lucas-Lehmer results:
No L-L results for M529237


PRP results:
dateuseridcompidcofactorsres64
2017-09-27Oliver KruseGTX-3
24532809261155128607039
26E88BE1163541DB
2017-09-28Oliver KruseManual testing
24532809261155128607039
26E88BE1163541DB
2017-11-09kkmrkkblmbrbkc4.large
24532809261155128607039
26E88BE1163541DB
2020-04-19Oliver KruseAddPrpType5
24532809261155128607039
15F7D72CDDAE38A2


CERT results:
No CERT results for M529237


P-1 factor-bounds graph:
B1 = 15000000, B2 = 1815000000 (P-1 stage 2)
B1 = 15000000 (P-1 stage 1)
B1 = 1500000, B2 = 50000000 (P-1 stage 2)
B1 = 1500000 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 65536, B2 = 6553600 (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 = 50000, B2 = 1000000 (P-1 stage 2)
B1 = 65536 (P-1 stage 1)
B1 = 8192, B2 = 819200 (P-1 stage 2)
B1 = 50000 (P-1 stage 1)
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
108
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=26.43 ~= 71-bit
250
260
270
280
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Last modified: 2024-02-29T14:28:04+00:00