is 2 192347 - 1
has 57903 decimal digits
takes 0.001 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual267154.480873.1343%10000000020000000001.360712.2961%155.841576.4377%
Target2440.000059.0909%3600800000.00018.8081%0.000162.6942%
Difference+23+154.4808+14.0434%+99996400+1999920000+1.3607+3.4880%+155.8415+13.7435%

Known prime factors (6 factors, 212.2 bits, 0.11032284% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1923471538777720.5534
22
-447.269e-132.674e-85.443e-8
1923473462247721.7239
32
2008-07-27991.455e-126.017e-81.225e-7
1923475001023722.25413
13
2008-07-271132.913e-121.106e-81.361e-8
19234710032819531029.9022608
24 × 163
2008-07-27161635.817e-101.605e-72.177e-7
192347649301920971135.918168784
24 × 7 × 11 × 137
2008-07-27161373.649e-81.511e-72.177e-7
19234743642531419839000901289992581.85211344739304444311817
34 × 193 × 725691761302649
2016-02-261937256917613026493,338,027264,353493,739

57 Composite Factors:
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2017-08-12kkmrkkblmbrbkManual testing100000000200000000012-
skipped known factor: 1538777
skipped known factor: 3462247
skipped known factor: 5001023
skipped known factor: 1003281953
skipped known factor: 64930192097
--1.361--12.296%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-07-27J FeitsmaManual testing??29.902102.09901e-100.0024.34967e-10
2008-07-27J FeitsmaManual testing??21.72372.82949e-150.0025.86343e-15
2008-07-27J FeitsmaManual testing??22.25478.17409e-150.0021.69388e-14
2008-07-27J FeitsmaManual testing??35.918111.26919e-80.0022.63002e-8


ECM factoring results:
Total ECM effort:20.779 GHz-days
Estimated T-Level:29.517
DigitsB1CompleteFacMiss
201100059.0710.000%
25500008.5590.019%
302500000.90340.517%
3510000000.07592.817%
4030000000.00599.501%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002191.068
500005000000620.302
2500002500000042210.29
2500003375000070.190
25000036000000210.586
2500003800000070.200
25000038500000140.402
250000551335785407.742


Lucas-Lehmer results:
No L-L results for M192347


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-22Oliver KruseOllaptop53FEB8319A202F__?
2017-09-22Oliver KruseManual testing53FEB8319A202F__?
2017-10-12kkmrkkblmbrbkc4.xlarge53FEB8319A202F__no
2020-04-17Oliver KruseAddPrpType5
1538777
3462247
5001023
1003281953
64930192097
4364253141983900090128999
46364D1CC8FBED__no
2021-01-10EricBockalux
1538777
3462247
5001023
1003281953
64930192097
4364253141983900090128999
46364D1CC8FBED8Bno


P-1 factor-bounds graph:
B1 = 100000000, B2 = 2000000000 (P-1 stage 2)
B1 = 100000000 (P-1 stage 1)
100
101
102
103
104
105
106
107
108
100
101
102
103
104
105
106
107
108
109
1010
1011
1012
1013
1014
1015
TF factor-bounds graph:
2
this exponent TF target: 44
TF double-checked to: 67.8
ECM T-Level=29.52 ~= 81-bit
250
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270
280
290
Last modified: 2023-04-26T21:34:10+00:00