is 2 8148401 - 1
has 2452914 decimal digits
takes 2.128 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L68DB186AA2CA1706double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26914.651666.6667 %2200000196564302041.334411.5858 %55.986070.5286 %
Target2673.646665.6716 %5500065000000.15382.6238 %3.800466.5724 %
Difference+2+11.0050+0.9950 %+2145000+1959143020+41.1806+8.9620%+52.1856+3.9563 %

Known prime factors (1 factor, 75.9 bits, 0.00093191% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
8148401722808365567870397428872375.9364435277335810243
13 × 59 × 109 × 30911 × 1716271
2012-10-303091117162711,752.70.04650.0661

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2002-08-10Team Prime Ribv4_computers45000742500--0.0312.188%
2012-10-30NesowaEPC2375.9360.0770.000%
2023-06-21FlaukrotistColab_HLM222000001965643020
skipped known factor: 72280836556787039742887
--43.7513.351%


Trial Factoring results:
57585960616263646566676869
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1999-03-26ANONYMOUSv4_computers212620.038
1999-05-30ANONYMOUSv4_computers212630.120
2022-06-22LordJuliusManual testing263267
2022-05-31FlaukrotistManual testing267268
2023-08-02FlaukrotistManual testing268269


ECM factoring results:
No ECM results for M8148401


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-09-14ANONYMOUSv4_computers68DB186AA2CA17062.128
2002-09-22Team Prime Ribv4_computers68DB186AA2CA17062.128


PRP results:
dateuseridcompidcofactorsres64
2018-08-30M Graber4fbe3b4e25
72280836556787039742887
0679B36C5340E73D
2020-02-20tottenhoffpc-2011
72280836556787039742887
0679B36C5340E73D


CERT results:
No CERT results for M8148401


P-1 factor-bounds graph:
B1 = 2200000, B2 = 1965643020 (P-1 stage 2)
B1 = 2200000 (P-1 stage 1)
B1 = 45000, B2 = 742500 (P-1 stage 2)
B1 = 45000 (P-1 stage 1)
103
104
105
106
107
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
269
268
267
263
262
this exponent TF target: 67
TF double-checked to: 67
250
260
270
280
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Last modified: 2024-03-13T02:15:48+00:00