is 2 1541539 - 1
has 464050 decimal digits
takes 0.069 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L88A73BCCB4B827FDdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26838.665869.1176 %2130000081923311470290.384417.8832 %329.050374.6404 %
Target2610.199365.5738 %65002750000.00141.0159 %0.200665.9235 %
Difference+7+38.4666+3.5439 %+21293500+81923036470+290.3831+16.8673%+328.8496+8.7169 %

Known prime factors:
No known factors for M1541539

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2003-02-09ANONYMOUSv4_computers204820480012--0.0010.864%
2003-02-16ANONYMOUSv4_computers409640960012--0.0021.500%
2003-09-29Team Prime Ribv4_computers15000225000--0.0022.053%
2014-06-24JossManual testing172708172708--0.0112.537%
2014-10-17JossManual testing214344214344--0.0142.779%
2015-03-02VictordeHollanderManual testing1000000020000000012--1.31814.724%
2022-12-23JossManual testing100010001200523170--5.88918.016%
2023-02-22JossManual testing100010003563469000--16.0219.932%
2023-06-29JossJoss100010009816975630--42.8221.663%
2023-09-29Sid & AndyDuke_Caboom2130000081923311470--352.725.952%


Trial Factoring results:
575859606162636465666768
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1998-10-18ANONYMOUSv4_computers212570.012
2003-02-24ANONYMOUSv4_computers212580.025
2003-03-27ANONYMOUSv4_computers212590.025
2016-02-23Mark RoseManual testing2592600.050
2010-04-27Architects Cubeda3_bu22602610.100
2010-05-17GrunwalderGIMPManual testing212631.035
2016-02-23Mark RoseManual testing2612630.836
2015-02-11snme2pm1Manual testing2632653.697
2015-10-11ramgeisManual testing2652664.848
2018-02-12TJAOIManual testing2662679.70
2018-06-06ramgeisManual testing26726819.39


ECM factoring results:
Total ECM effort:30.486 GHz-days
Estimated T-Level:25.693
DigitsB1CompleteFacMiss
201100015.1850.000%
25500001.67918.656%
302500000.13987.060%
3510000000.00999.074%


ECM Summary

B1B2factorcurvesGHz-days
50000500000028315.69
250000400000004314.80


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-10-25ANONYMOUSv4_computers4A892D1CCC0A78AF0.069
1999-07-27Ethan O'Connorv4_computers88A73BCCB4B827FD0.069
2016-06-02MadPooManual testing88A73BCCB4B827FD0.069


PRP results:
No PRP results for M1541539


CERT results:
No CERT results for M1541539


P-1 factor-bounds graph:
B1 = 21300000, B2 = 81923311470 (P-1 stage 2)
B1 = 10001000, B2 = 9816975630 (P-1 stage 2)
B1 = 10001000, B2 = 3563469000 (P-1 stage 2)
B1 = 10001000, B2 = 1200523170 (P-1 stage 2)
B1 = 21300000 (P-1 stage 1)
B1 = 10000000, B2 = 200000000 (P-1 stage 2)
B1 = 10001000 (P-1 stage 1)
B1 = 10000000 (P-1 stage 1)
B1 = 214344 (P-1 stage 1)
B1 = 172708 (P-1 stage 1)
B1 = 15000, B2 = 225000 (P-1 stage 2)
B1 = 4096, B2 = 409600 (P-1 stage 2)
B1 = 15000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 4096 (P-1 stage 1)
B1 = 2048 (P-1 stage 1)
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1010
1011
TF factor-bounds graph:
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267
266
265
263
261
260
259
258
257
this exponent TF target: 61
TF double-checked to: 67
ECM T-Level=25.69 ~= 69-bit
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Last modified: 2024-03-13T02:15:48+00:00