is 2 2159501 - 1
has 650075 decimal digits
takes 0.142 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
Actual26713.759667.1642%500000150000000.12305.1705%13.882668.8620%1.6978%
PrimeNet2580.017862.0690%100001700000.00182.8101%0.019663.1349%1.0659%
GPU722620.284564.5161%100001600000.00171.5192%0.286265.0552%0.5391%
Difference+5+13.4751+2.6481%+490000+14840000+0.1213+3.6513%+13.5964+3.8068%+3.8068%

Known prime factors (2 factors, 137.8 bits, 0.00638100% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
215950166001168363797131652.5511528157856
25 × 3 × 15918311
-32159183110.00030.08270.1544
2159501458885626329297154759653132685.24610624806988496350656
26 × 3 × 109 × 773417 × 656416681
2022-05-267734176564166815,447,4533.47936.3682

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
215950130286987483086438690064605673583488489516942137.798
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-04-01T10:40:15alpertronManual testing5000001500000012---0.123--5.171%


Trial Factoring results:
No TF results for M2159501


ECM factoring results:

Old Calculation Method

Total ECM effort:1.932 GHz-days
Estimated T-Level:1.000
DigitsB1CurvesCompleteFacMiss
201100020 / 1000.20081.791%
255000020 / 2800.07193.094%

New Calculation Method

Total ECM effort:1.932 GHz-days
Estimated T-Level:1.000
DigitsB1CompleteFacMiss
20110000.82443.880%
25500000.07692.648%
302500000.00599.516%


ECM Summary

B1B2factorcurvesGHz-days
50000500000030.256
50000659409170.676
50000690000030.296
50000715000070.703


Lucas-Lehmer results:
No L-L results for M2159501


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-09T00:11:54Oliver KruseGTX-0
6600116836379713
F923B86C9D4059__no
2017-11-18T21:53:08kkmrkkblmbrbkc4.xlarge
6600116836379713
F923B86C9D4059__no
2022-06-01T06:14:38XZT600G2Mini1
6600116836379713
45888562632929715475965313
148694E54B33E8D1no


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
100
101
102
103
104
105
106
107
108
109
TF factor-bounds graph:
267
250
260
270
280
290
2100
Last modified: 2022-06-20T15:13:48+00:00