is 2 2116757 - 1
has 637208 decimal digits
takes 0.139 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
Actual26714.037567.1642%500000150000000.12305.1581%14.160568.8579%1.6937%
PrimeNet2580.018162.0690%90001600000.00162.6818%0.019863.0862%1.0172%
GPU722620.290264.5161%100001400000.00161.4537%0.291965.0319%0.5158%
Difference+5+13.7472+2.6481%+490000+14860000+0.1214+3.7045%+13.8686+3.8259%+3.8259%

Known prime factors (2 factors, 93.1 bits, 0.00439992% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
211675729634599824.8217
7
-171.057e-121.265e-71.940e-7
21167573671512571699345957532168.31586724942251268
22 × 3 × 122347 × 59070337
2021-11-141223475907033754.1270.31790.5731

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
2116757108803802785768866013672580472993.136
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-03-25T16:40:44alpertronManual testing5000001500000012-
skipped known factor: 29634599
--0.123--5.158%


Trial Factoring results:
No TF results for M2116757


ECM factoring results:

Old Calculation Method

Total ECM effort:1.704 GHz-days
Estimated T-Level:1.000
DigitsB1CurvesCompleteFacMiss
201100020 / 1000.20081.791%
255000020 / 2800.07193.094%

New Calculation Method

Total ECM effort:1.704 GHz-days
Estimated T-Level:1.000
DigitsB1CompleteFacMiss
20110000.64552.458%
25500000.05894.336%
302500000.00499.642%


ECM Summary

B1B2factorcurvesGHz-days
500005000000131.107
50000500000070.596


Lucas-Lehmer results:
No L-L results for M2116757


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-07T05:39:37Oliver KruseGTX-3
29634599
7E4069B6C72DB6__no
2017-11-17T14:57:40kkmrkkblmbrbkc4.xlarge
29634599
7E4069B6C72DB6__no
2021-11-14T06:44:05SRJ2877LTOS
29634599
367151257169934595753
10C524B551AD7C23no


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
TF factor-bounds graph:
267
220
230
240
250
260
270
280
290
2100
Last modified: 2022-04-01T12:55:05+00:00