is 2 8204501 - 1
has 2469801 decimal digits
takes 2.142 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L0B2313A476AA68D3double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual2673.621765.6716%450007425000.03142.1904%3.653166.4236%0.7519%
PrimeNet2630.194563.4921%360009000000.03153.6201%0.226064.8137%1.3216%
GPU722673.621765.6716%5500013000000.04652.6267%3.668266.5733%0.9017%
Difference----10000-557500-0.0151-0.4362%-0.0151-0.1498%-0.1498%

Known prime factors (2 factors, 130.1 bits, 0.00158565% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
8204501115715443133223532632063.327705194887131
33 × 7 × 353 × 10569943
2011-08-14353105699430.42400.21820.4072
82045011256335912771006731832166.7687656382227091
13 × 17 × 34644263471
2020-09-0317346442634712.3091714.631,334.7

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
8204501145377466870479909998979699745903664612940130.095
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2002-08-03T00:00:00Team Prime Ribv4_computers45000742500---0.031--2.190%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2011-08-14T13:11:00Carsten KossendeyManual testing??63.327200.2304.3590.467
1998-08-30T00:00:00Mark Dv4_computers21261--0.037--
1998-08-30T00:00:00ANONYMOUSv4_computers21262--0.075--
1998-11-28T00:00:00ANONYMOUSv4_computers21263--0.195--
2011-08-14T13:11:00Carsten KossendeyManual testing263264--0.239--
2022-04-09T01:54:39LordJuliusManual testing2126463.327200.4244.3590.863
2022-04-10T12:38:56James HeinrichManual testing264265--0.455--
2022-04-09T01:54:39LordJuliusManual testing264265--0.455--
2022-04-10T12:38:56James HeinrichManual testing265266--0.911--
2022-04-09T01:54:39LordJuliusManual testing265266--0.911--
2020-09-03T12:34:06TJAOIManual testing266267*66.768210.5094.3591.036


ECM factoring results:
No ECM results for M8204501


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-10-21T00:00:00ankarsvikv4_computers0B2313A476AA68D32.142
2002-09-22T00:00:00Team Prime Ribv4_computers0B2313A476AA68D32.142
2004-05-25T00:00:00Team Prime Ribv4_computers0B2313A476AA68D32.142


PRP results:
dateuseridcompidcofactorsres64PRP
2018-09-16T16:07:32XebecerBirlinn_Oban
11571544313322353263
A663E7D6A7F56D__no
2020-03-06T20:36:31oodairacom1
11571544313322353263
A663E7D6A7F56D31no
2020-09-04T00:03:38Xyzzy3950X
11571544313322353263
125633591277100673183
A663E7D6A7F56D31no


P-1 factor-bounds graph:
B1 = 45000, B2 = 742500 (P-1 stage 2)
B1 = 45000 (P-1 stage 1)
100
101
102
103
104
105
100
101
102
103
104
105
106
107
108
109
1010
1011
TF factor-bounds graph:
267
266
265
264
263
262
261
2
250
260
270
280
290
2100
Last modified: 2022-04-10T12:38:56+00:00