is 2 454627 - 1
has 136857 decimal digits
takes 0.005 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
Actualunknown30000001000000000.141543.3373%0.141543.3373%43.3373%
PrimeNet2400.000052.5000%45001500000.000218.3797%0.000261.2304%8.7304%
GPU722440.000056.8182%80002600000.000413.8555%0.000462.8012%5.9831%
Difference-440.0000-56.8182%+2992000+99740000+0.1411+29.4818%+0.1411-19.4639%-19.4639%

Known prime factors (2 factors, 129.5 bits, 0.02849572% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
45462720444621652711340.8952248505
5 × 7 × 17 × 3779
-1737795.443e-73.791e-66.568e-6
4546274871099317784715435351360792788.654535724815924341870957
32 × 13 × 127 × 2341 × 15401065499803
2020-08-03234115401065499803213,004,24314,33026,764

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
45462799587782584882302379870184993997291240939129.549
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-03-17T18:48:23alpertronManual testing300000010000000012-
skipped known factor: 2044462165271
--0.141--34.826%


Trial Factoring results:
No TF results for M454627


ECM factoring results:

Old Calculation Method

Total ECM effort:17.712 GHz-days
Estimated T-Level:26.602
DigitsB1CurvesCompleteFacMiss
2011000486 / 1004.8600.756%
2550000486 / 2801.73617.573%
30250000205 / 6400.32072.574%

New Calculation Method

Total ECM effort:17.712 GHz-days
Estimated T-Level:26.602
DigitsB1CompleteFacMiss
201100026.1480.000%
25500003.3343.564%
302500000.32372.408%
3510000000.02597.543%
4030000000.00299.840%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002813.622
25000025000000442.835
25000025000000613.931
250000350000001007.324


Lucas-Lehmer results:
No L-L results for M454627


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-25T02:42:15Oliver KruseDoppelherz
2044462165271
FA71BA5B954A06__no
2017-09-27T07:34:00Oliver KruseManual testing
2044462165271
FA71BA5B954A06__no
2017-11-09T04:54:51kkmrkkblmbrbkc4.large
2044462165271
FA71BA5B954A06__no
2020-04-18T19:36:02Oliver KruseAddPrpType5
2044462165271
BE3DA8D62E661E__no
2020-08-03T10:32:29CrypticCluecruncher
2044462165271
487109931778471543535136079
BE3DA8D62E661EADno
2020-08-03T22:47:37atrenchDesktop
2044462165271
487109931778471543535136079
BE3DA8D62E661EADno


P-1 factor-bounds graph:
B1 = 3000000, B2 = 100000000 (P-1 stage 2)
B1 = 3000000 (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
1013
1014
TF factor-bounds graph:
240
250
260
270
280
290
2100
Last modified: 2021-04-23T12:14:57+00:00