is 2 1854227 - 1
has 558178 decimal digits
takes 0.101 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
Actual26716.025068.6567%500000150000000.10155.0766%16.126470.2479%1.5912%
PrimeNet2570.010463.1579%90001600000.00143.0244%0.011764.2721%1.1142%
GPU722610.165765.5738%90001500000.00131.6317%0.167066.1355%0.5617%
Difference+6+15.8593+3.0829%+491000+14850000+0.1002+3.4449%+15.9595+4.1124%+4.1124%

Known prime factors (2 factors, 119.5 bits, 0.00644285% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1854227266600758071134.6347189
7 × 13 × 79
-13791.921e-91.305e-62.081e-6
1854227344116953632191525689432012684.8319279256359447670800
24 × 3 × 52 × 2793809 × 2767803251
2021-02-15279380927678032513,896,58812.07022.155

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
185422791741840703081300704232453253723820736119.465
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-03-16T12:36:09alpertronManual testing5000001500000012-
skipped known factor: 26660075807
--0.101--5.077%


Trial Factoring results:
No TF results for M1854227


ECM factoring results:

Old Calculation Method

Total ECM effort:19.251 GHz-days
Estimated T-Level:24.482
DigitsB1CurvesCompleteFacMiss
2011000251 / 1002.5108.025%
2550000251 / 2800.89640.737%

New Calculation Method

Total ECM effort:19.251 GHz-days
Estimated T-Level:24.482
DigitsB1CompleteFacMiss
20110008.5730.019%
25500000.77745.996%
302500000.04895.309%
3510000000.00299.779%


ECM Summary

B1B2factorcurvesGHz-days
500005000000261.798
500005000000110.761
50000660000021416.69


Lucas-Lehmer results:
No L-L results for M1854227


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-04T07:12:54Oliver KruseGTX-3
26660075807
9F5D05B32F6696__no
2017-11-07T03:37:36ATHec2-1xf
26660075807
9F5D05B32F6696__no
2021-02-17T01:19:07ViliamF3
26660075807
34411695363219152568943201
A60B4CAD52EB37BCno


P-1 factor-bounds graph:
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
100
101
102
103
104
105
106
107
100
101
102
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
267
230
240
250
260
270
280
290
2100
Last modified: 2021-07-23T11:16:56+00:00