is 2 1848221 - 1
has 556370 decimal digits
takes 0.100 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
-unknown- primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26716.077068.6567%5000024713700.01432.3395%16.091369.3900%0.7333%
PrimeNet2570.010463.1579%90001600000.00143.0226%0.011764.2715%1.1136%
GPU722610.166265.5738%90001500000.00131.6306%0.167566.1351%0.5614%
Difference+6+15.9108+3.0829%+41000+2321370+0.0130+0.7088%+15.9238+3.2548%+3.2548%

Known prime factors (2 factors, 116.1 bits, 0.00628092% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1848221271673072836871444.6277349583
3 × 2449861
-324498612.306e-60.01050.0196
184822132442851600298412758972271.458877677821004588
22 × 3 × 2005723 × 36465563
2020-12-19200572336465563516.760.30550.3211

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
18482218813849185843635129695108141439223935116.085
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2022-04-09T19:45:45Ethan O'ConnorManual testing500002471370-
skipped known factor: 27167307283687
--0.014--2.339%


Trial Factoring results:
No TF results for M1848221


ECM factoring results:

Old Calculation Method

Total ECM effort:19.800 GHz-days
Estimated T-Level:24.607
DigitsB1CurvesCompleteFacMiss
2011000258 / 1002.5807.480%
2550000258 / 2800.92139.729%

New Calculation Method

Total ECM effort:19.800 GHz-days
Estimated T-Level:24.607
DigitsB1CompleteFacMiss
201100010.6360.002%
25500000.97937.577%
302500000.06293.977%
3510000000.00399.709%


ECM Summary

B1B2factorcurvesGHz-days
500005000000292.005
50000500000030.207
50000575353870.513
50000660000021917.07


Lucas-Lehmer results:
No L-L results for M1848221


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-04T05:48:02Oliver KruseGTX-3
27167307283687
190C4AF64A6608__no
2017-11-06T21:12:47ATHec2-1xf
27167307283687
190C4AF64A6608__no
2020-12-19T17:42:18mrhlanai
27167307283687
3244285160029841275897
B7F2DEF558491F6Bno


P-1 factor-bounds graph:
B1 = 50000, B2 = 2471370 (P-1 stage 2)
B1 = 50000 (P-1 stage 1)
100
101
102
103
104
105
106
107
100
101
102
103
104
105
106
107
108
TF factor-bounds graph:
267
240
250
260
270
280
290
2100
Last modified: 2022-04-09T19:45:45+00:00