is 2 2106277 - 1
has 634053 decimal digits
takes 0.138 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
Actual26714.107367.1642%500000150000000.12305.1550%14.230368.8569%1.6927%
PrimeNet2580.018262.0690%90001600000.00162.6793%0.019963.0852%1.0163%
GPU722620.291764.5161%100001400000.00161.4522%0.293365.0314%0.5153%
Difference+5+13.8156+2.6481%+490000+14860000+0.1214+3.7028%+13.9370+3.8255%+3.8255%

Known prime factors (2 factors, 100.0 bits, 0.00474694% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2106277164289607927.29239
3 × 13
-3138.561e-123.380e-75.821e-7
210627776291053383212561980012272.6921811040366087000
23 × 32 × 53 × 829 × 242734267
2022-06-13829242734267731.231.26092.3549

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
210627712533827177944012205158984756073199.984
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-03-16T12:13:25alpertronManual testing5000001500000012-
skipped known factor: 164289607
--0.123--5.155%


Trial Factoring results:
No TF results for M2106277


ECM factoring results:

Old Calculation Method

Total ECM effort:2.920 GHz-days
Estimated T-Level:1.600
DigitsB1CurvesCompleteFacMiss
201100032 / 1000.32072.498%
255000032 / 2800.11489.182%

New Calculation Method

Total ECM effort:2.920 GHz-days
Estimated T-Level:1.600
DigitsB1CompleteFacMiss
20110001.28327.711%
25500000.11988.817%
302500000.00899.251%


ECM Summary

B1B2factorcurvesGHz-days
500005000000131.107
50000590000050.457
50000664460570.676
50000675000070.681


Lucas-Lehmer results:
No L-L results for M2106277


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-07T03:14:09Oliver KruseGTX-2
164289607
502D091DF343AF__no
2017-11-17T04:40:30ATHec2-1xf
164289607
502D091DF343AF__no
2022-06-21T01:31:47some-studentsGIMPS_IN_SHANGHAI
164289607
7629105338321256198001
F2FF70DD1AFD1578no
2022-06-21T04:04:25Pierrebrollach
164289607
7629105338321256198001
F2FF70DD1AFD1578no


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
220
230
240
250
260
270
280
290
2100
Last modified: 2022-07-25T22:13:53+00:00