is 2 305441 - 1
has 91947 decimal digits
takes 0.002 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
Actualunknown50000500000.000514.9936%0.000514.9936%14.9936%
PrimeNet2400.000052.5000%3200900000.000115.6052%0.000159.9125%7.4125%
GPU722440.000056.8182%55001500000.000111.4217%0.000161.7503%4.9321%
Difference-440.0000-56.8182%+44500-100000+0.0004+3.5719%+0.0004-46.7566%-46.7566%

Known prime factors (2 factors, 116.3 bits, 0.03806863% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
305441784372489929.5471284
22 × 3 × 107
-41072.992e-109.911e-81.089e-7
3054411283523093012086545328748492786.730210109823666777961264
24 × 3 × 13 × 2745161 × 122657454701
2021-09-04274516112265745470187,556,23468.933128.70

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
30544110067602031548688306429217763562916136116.277
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2022-02-06T16:51:34Lisander ViaeneManual testing5000050000-
skipped known factor: 784372489
--0.001--9.781%


Trial Factoring results:
No TF results for M305441


ECM factoring results:

Old Calculation Method

Total ECM effort:16.651 GHz-days
Estimated T-Level:27.688
DigitsB1CurvesCompleteFacMiss
2011000625 / 1006.2500.187%
2550000625 / 2802.23210.687%
30250000344 / 6400.53858.396%

New Calculation Method

Total ECM effort:16.651 GHz-days
Estimated T-Level:27.688
DigitsB1CompleteFacMiss
201100037.7310.000%
25500005.1860.560%
302500000.52359.249%
3510000000.04295.902%
4030000000.00399.726%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002812.145
250000250000001445.495
250000385000001737.795
25000038500000271.217


Lucas-Lehmer results:
No L-L results for M305441


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-22T15:35:14Oliver KruseOllaptop
784372489
79D499927AF9BB__no
2017-09-22T20:37:24Oliver KruseManual testing
784372489
79D499927AF9BB__no
2017-10-12T22:28:32Oliver KruseGTX-179D499927AF9BB__no
2017-12-11T08:23:33ATHxps
784372489
79D499927AF9BB__no
2020-04-18T07:19:35Oliver KruseAddPrpType5
784372489
8910D9AA53632D__no
2021-09-04T16:30:14H Michaelson
784372489
128352309301208654532874849
8910D9AA53632D15no


P-1 factor-bounds graph:
B1 = 50000 (P-1 stage 1)
100
101
102
103
104
105
106
107
100
101
102
103
104
105
106
107
108
109
1010
1011
1012
TF factor-bounds graph:
220
230
240
250
260
270
280
290
2100
Last modified: 2022-02-06T16:51:34+00:00