is 2 1911641 - 1
has 575462 decimal digits
takes 0.104 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
Actual26715.543768.6567%500000150000000.10155.0953%15.645170.2537%1.5970%
PrimeNet2570.010063.1579%90001600000.00143.0414%0.011464.2784%1.1205%
GPU722610.160765.5738%100001700000.00151.7600%0.162266.1797%0.6059%
Difference+6+15.3830+3.0829%+490000+14830000+0.1000+3.3353%+15.4830+4.0741%+4.0741%

Known prime factors (2 factors, 125.1 bits, 0.00654246% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
19116413168659464795911548.17182877995
5 × 67 × 73 × 3389
-7333893.845e-51.995e-52.709e-5
19116411407484250870746970577832476.89736813508678427251
76329797 × 482295383
2021-01-207632979748229538312,0107.744212.220

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
19116414459838293072773419181306799435720675338125.068
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-03-16T12:42:00alpertronManual testing5000001500000012-
skipped known factor: 316865946479591
--0.101--5.095%


Trial Factoring results:
No TF results for M1911641


ECM factoring results:

Old Calculation Method

Total ECM effort:19.540 GHz-days
Estimated T-Level:24.446
DigitsB1CurvesCompleteFacMiss
2011000249 / 1002.4908.188%
2550000249 / 2800.88941.030%

New Calculation Method

Total ECM effort:19.540 GHz-days
Estimated T-Level:24.446
DigitsB1CompleteFacMiss
201100010.3220.003%
25500000.94938.722%
302500000.06094.160%
3510000000.00399.718%


ECM Summary

B1B2factorcurvesGHz-days
500005000070.293
500005000000281.944
50000590000030.223
50000660000021116.53
50000675000070.554


Lucas-Lehmer results:
No L-L results for M1911641


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-04T21:14:34Oliver KruseGTX-2
316865946479591
4B6DE65F248BBA__no
2017-11-09T21:37:28kkmrkkblmbrbkold
316865946479591
4B6DE65F248BBA__no
2021-01-20T07:39:43MarkSdesktop-i7
316865946479591
140748425087074697057783
DD523EA27F736350no


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
108
100
101
102
103
104
105
106
107
108
109
TF factor-bounds graph:
267
240
250
260
270
280
290
2100
Last modified: 2022-01-06T11:57:36+00:00