is 2 523801 - 1
has 157680 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-L8BD713D3666DC894double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26756.727571.6418 %2500000010000000001.651911.5587 %58.379474.9196 %
Target2440.000056.8182 %900015000000.001914.6037 %0.001963.1243 %
Difference+23+56.7275+14.8236 %+24991000+998500000+1.6500-3.0450 %+58.3775+11.7953 %

Known prime factors (1 factor, 89.0 bits, 0.01698203% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
5238015987425569147233239039517292788.952571536286599990572664
23 × 3 × 37 × 164767 × 3906255162559
2020-03-061647673906255162559140,501,5584,500.38,405.4

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2001-12-22ANONYMOUSv4_computers2000200000--0.00011.158%
2002-01-22ANONYMOUSv4_computers4096409600--0.00114.029%
2002-02-10Jossv4_computers10000100000--0.00012.048%
2002-06-23ANONYMOUSv4_computers32768327680012--0.00422.214%
2002-08-31ANONYMOUSv4_computers65536655360012--0.00924.861%
2003-04-27ANONYMOUSv4_computers1310721310720030--0.01827.454%
2011-05-27JossManual testing10000001000000--0.02119.626%
2012-07-14JossManual testing10476021047602--0.02219.768%
2013-01-24markrManual testing25000000100000000012--1.65242.203%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-06-06happy5214Manual testing12500000108750000027--1.382


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2000-03-15ANONYMOUSv4_computers2532540.002
2022-03-07LordJuliusManual testing254255
2001-04-01ANONYMOUSv4_computers212560.018
2002-01-02ANONYMOUSv4_computers212570.037
2003-12-23ANONYMOUSv4_computers212580.073
2016-02-23Mark RoseManual testing2582610.513
2015-07-09NRManual testing2612620.586
2015-09-08Gordon SpenceManual testing2622645.622
2017-11-10BloodERazorManual testing2642657.133
2018-05-23chuenkitManual testing26526614.27


ECM factoring results:
Total ECM effort:23.745 GHz-days
Estimated T-Level:27.352
DigitsB1CompleteFacMiss
201100034.5870.000%
25500004.6870.922%
302500000.47062.480%
3510000000.03796.324%
4030000000.00299.755%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002804.240
2500002500000013310.62
250000250000001298.887


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2015-04-11MadPooManual testing8BD713D3666DC8940.008


PRP results:
dateuseridcompidcofactorsres64
2020-03-06Niels_Mache_NextcloudSuperDry-X
598742556914723323903951729
D6B2A09D3F2FFB01
2020-03-06ATHec2-PRPCF
598742556914723323903951729
D6B2A09D3F2FFB01


CERT results:
No CERT results for M523801


P-1 factor-bounds graph:
B1 = 25000000, B2 = 1000000000 (P-1 stage 2)
B1 = 25000000 (P-1 stage 1)
B1 = 1047602 (P-1 stage 1)
B1 = 1000000 (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 = 65536 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
B1 = 4096, B2 = 409600 (P-1 stage 2)
B1 = 10000, B2 = 100000 (P-1 stage 2)
B1 = 2000, B2 = 200000 (P-1 stage 2)
B1 = 10000 (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
1011
1012
1013
TF factor-bounds graph:
266
265
264
262
261
258
257
256
255
254
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=27.35 ~= 74-bit
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Last modified: 2024-03-13T02:15:48+00:00