is 2 58353349 - 1
has 17566109 decimal digits
takes 123.677 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
Actual27332.780464.3836%545000111725003.45434.1201%36.234765.8510%
Target27332.780464.3836%40000010400000018.57574.0804%51.356065.8369%
Difference---+145000-92827500-15.1213+0.0396%-15.1213+0.0141%

Known prime factors (1 factor, 65.7 bits, 0.00011254% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
58353349588031830101395497132065.673503854397544
23 × 3 × 557 × 37691083		2015-01-26557376910830.17726.312511.787

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2012-10-28TheJudgerManual testing54500011172500---3.454--4.120%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-12-23ANONYMOUSv4_computers21253--2.05631e-5--
2000-02-09ANONYMOUSv4_computers21254--4.11261e-5--
2000-06-28ANONYMOUSv4_computers21256--0.000--
2000-06-29ANONYMOUSv4_computers21256--0.000--
2001-07-17ANONYMOUSv4_computers21257--0.000--
2002-09-22ANONYMOUSv4_computers21258--0.001--
2003-07-30ANONYMOUSv4_computers21259--0.001--
2003-11-28ANONYMOUSv4_computers21261--0.005--
2022-06-27LordJuliusManual testing261263--0.022--
2008-10-29KYOJI_KAMEIwlaptop263264--0.034--
2008-10-29KYOJI_KAMEIwlaptop264265--0.064--
2008-10-29KYOJI_KAMEIwlaptop265266--0.128--
2015-01-26BloodIceManual testing265266*65.673200.052283.20.120
2008-10-29KYOJI_KAMEIwlaptop266267--0.256--
2009-06-18kevshawKERMIT267268--0.512--
2011-05-01XyzzyManual testing268269--1.024--
2011-10-02Los Alcoholicos~XaveriusManual testing269270--2.049--
2011-11-05Joop DekkerXPVM270271--4.098--
2012-07-17XyzzyManual testing271272--8.196--
2012-09-21kdgehmanManual testing272273--16.39--


ECM factoring results:
No ECM results for M58353349


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2013-09-11curtiscwde3107-21l58D383E7CF2706__123.7


PRP results:
No PRP results for M58353349


P-1 factor-bounds graph:
B1 = 545000, B2 = 11172500 (P-1 stage 2)
B1 = 545000 (P-1 stage 1)
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108
TF factor-bounds graph:
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this exponent TF target: 73
TF double-checked to: 67.8
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Last modified: 2023-06-05T21:50:05+00:00