is 2 8213441 - 1
has 2472493 decimal digits
takes 2.145 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L73CA097EB07CA820double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual2673.617765.6716%450007537500.03172.1993%3.649466.4266%0.7550%
PrimeNet2630.194363.4921%360009000000.03153.6207%0.225864.8139%1.3219%
GPU722673.617765.6716%5500013000000.04652.6271%3.664266.5735%0.9018%
Difference----10000-546250-0.0148-0.4278%-0.0148-0.1468%-0.1468%

Known prime factors (1 factor, 63.5 bits, 0.00077303% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
8213441129753747907569515772063.492789886649868
22 × 3 × 19 × 3464415131
2011-08-101934644151310.274471.463133.47

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2002-08-10T00:00:00Team Prime Ribv4_computers45000753750---0.032--2.199%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2011-08-10T05:16:00Carsten KossendeyManual testing??63.492200.0804.3630.163
1998-11-28T00:00:00ANONYMOUSv4_computers21262--0.075--
1998-12-06T00:00:00ANONYMOUSv4_computers21263--0.194--
2011-08-10T05:16:00Carsten KossendeyManual testing263264--0.239--


ECM factoring results:
No ECM results for M8213441


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2000-01-12T00:00:00EmilSv4_computers73CA097EB07CA8202.145
2003-03-27T00:00:00Team Prime Ribv4_computers73CA097EB07CA8202.145


PRP results:
dateuseridcompidcofactorsres64PRP
2018-09-20T00:45:42Oliver KruseGTX-0
12975374790756951577
4342B725A716B4__no
2020-03-11T21:22:06Luigi Morelli9800X
12975374790756951577
4342B725A716B486no


P-1 factor-bounds graph:
B1 = 45000, B2 = 753750 (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
TF factor-bounds graph:
267
264
263
262
2
250
260
270
280
290
2100
Last modified: 2020-03-11T21:22:06+00:00