is 2 69243721 - 1
has 20844438 decimal digits
takes 185.131 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
Actual2716.904361.9718%765000191250006.84365.8333%13.747964.1901%
Target27455.252263.5135%45000012000000026.99533.9446%82.247564.9528%
Difference-3-48.3479-1.5417%+315000-100875000-20.1517+1.8887%-68.4996-0.7626%

Known prime factors (1 factor, 73.9 bits, 0.00010677% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
69243721179786779088302292047992373.929129821719927719
3 × 23 × 1881474201851
2014-05-2323188147420185135.752397,396742,225

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2013-12-05HBendtzHAL900776500019125000---6.844--5.833%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2000-10-22Jocelyn Larouchev4_computers21256--0.000--
2001-06-03Jocelyn Larouchev4_computers21257--0.000--
2003-11-28ANONYMOUSv4_computers21262--0.009--
2004-11-22ANONYMOUSv4_computers21263--0.023--
2022-05-21LordJuliusManual testing263265--0.082--
2008-06-11James HeinrichQ6600265266--0.108--
2010-04-19PrimeCruncherApollo8266267--0.216--
2010-04-23Sven K.home-server267268--0.432--
2010-04-26Sven K.home-server268269--0.863--
2012-04-26ddboy3ibm3269270--1.727--
2012-11-05igManual testing270271--3.453--
2014-05-23Bill StaffenManual testing271274*73.9292328.85375.158.45


ECM factoring results:
No ECM results for M69243721


Lucas-Lehmer results:
No L-L results for M69243721


PRP results:
No PRP results for M69243721


P-1 factor-bounds graph:
B1 = 765000, B2 = 19125000 (P-1 stage 2)
B1 = 765000 (P-1 stage 1)
100
101
102
103
104
105
106
100
101
102
103
104
105
106
107
108
109
1010
1011
1012
1013
TF factor-bounds graph:
274
271
270
269
268
267
266
265
263
262
257
256
this exponent TF target: 74
TF double-checked to: 67.8
250
260
270
280
Last modified: 2023-06-05T21:50:05+00:00