is 2 211639 - 1
has 63710 decimal digits
takes 0.001 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual267140.399173.1343 %30000000100708329922203,668.770323.1976 %3,809.169479.3665 %
Target2440.000059.0909 %40004500000.00029.3307 %0.000262.9080 %
Difference+23+140.3991+14.0434 %+29996000+10070832542220+3,668.7701+13.8669%+3,809.1692+16.4585 %

Known prime factors (1 factor, 70.4 bits, 0.03327756% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
21163915886457827368331407112270.4283753197148769445
5 × 13 × 3848269 × 15004537
2007-11-303848269150045371,129.00.02980.0524

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2001-05-06ANONYMOUSv4_computers10000010000000--0.00424.585%
2002-06-02ANONYMOUSv4_computers32768327680012--0.00120.399%
2002-07-27ANONYMOUSv4_computers65536655360012--0.00323.013%
2003-02-24ANONYMOUSv4_computers1310721310720030--0.00625.583%
2003-10-14ANONYMOUSv4_computers2621442621440012--0.01128.102%
2021-05-19Oliver KruseOllaptop300000003000000000
skipped known factor: 1588645782736833140711
--1.28243.682%
2022-02-19Oliver KruseThreadripper-PC3000000010070832992220
skipped known factor: 1588645782736833140711
--5,54762.747%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-11-29fbaurubuntu1500000001275000000027--6.023


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1999-11-17ANONYMOUSv4_computers2522530.003
2000-04-12ANONYMOUSv4_computers212540.011
2022-03-07LordJuliusManual testing254255
2001-02-04ANONYMOUSv4_computers212560.045
2002-03-24ANONYMOUSv4_computers212570.091


ECM factoring results:
Total ECM effort:10.122 GHz-days
Estimated T-Level:28.089
DigitsB1CompleteFacMiss
201100043.1170.000%
25500006.0130.245%
302500000.61853.908%
3510000000.05095.123%
4030000000.00399.669%


ECM Summary

B1B2factorcurvesGHz-days
10.004
5000050000002771.349
250000250000003348.163
25000038500000210.605


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2002-12-25ANONYMOUSv4_computers61A65C81C4C6CE__0.001


PRP results:
dateuseridcompidcofactorsres64
2017-09-22Oliver KruseDoppelherz
1588645782736833140711
A6DC184BD536AA49
2017-09-22Oliver KruseManual testing
1588645782736833140711
A6DC184BD536AA49
2017-10-12kkmrkkblmbrbkc4.xlarge
1588645782736833140711
A6DC184BD536AA49
2020-04-17Oliver KruseAddPrpType5
1588645782736833140711
0C1DEC3119D46F70
2023-08-03USAFSS6917th_Scty_Sq
1588645782736833140711
0C1DEC3119D46F70


CERT results:
dateuseridcompid
2023-08-03curtiscwcm424--07l


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 = 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:
257
256
255
254
253
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=28.09 ~= 77-bit
250
260
270
280
JSON version of this page
Last modified: 2024-02-09T03:30:02+00:00