is 2 203657 - 1
has 61307 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
Actual267145.901873.1343 %30000000102640764025803,739.164623.1721 %3,885.066479.3597 %
Target2440.000059.0909 %36004000000.00028.8921 %0.000262.7286 %
Difference+23+145.9018+14.0434 %+29996400+10264076002580+3,739.1644+14.2800%+3,885.0662+16.6311 %

Known prime factors (6 factors, 374.6 bits, 0.18395070% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2036576109711722.54315
3 × 5
-352.753e-122.079e-84.082e-8
2036571584553695814011547.171389025100
22 × 52 × 113 × 173 × 199
2014-02-271731990.00011.166e-62.354e-6
2036574488215365223291291858.6391101905499252
22 × 3 × 107 × 257 × 3339229
2014-07-2825733392290.34330.00120.0023
2036571351351441221487323912166.873331771419892635
3 × 5 × 2626873 × 8419933
2014-07-2826268738419933128.030.01970.0357
2036571326029005101143109405731832786.777325554487471862766663
3 × 7 × 132 × 91731329239747187
2020-05-3116991731329239747187112,977,05933,415,68562,411,194
20365776398390126098207969983125832892.62618756632506149606438763
23 × 802516307 × 1016185906783
2019-11-2080251630710161859067839.448e+9375.25691.38

57 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2021-05-05Oliver KruseOllaptop300000003000000000
skipped known factor: 6109711
skipped known factor: 158455369581401
skipped known factor: 448821536522329129
skipped known factor: 135135144122148732391
--1.28243.605%
2022-02-06Oliver KruseThreadripper-PC3000000010264076402580
skipped known factor: 6109711
skipped known factor: 158455369581401
skipped known factor: 448821536522329129
skipped known factor: 135135144122148732391
--4,55062.696%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2014-02-27TJAOIManual testing??
47.171
15


ECM factoring results:
Total ECM effort:30.208 GHz-days
Estimated T-Level:30.443
DigitsB1CompleteFacMiss
201100066.8080.000%
25500009.9100.005%
302500001.06134.606%
3510000000.08991.527%
4030000000.00699.403%


ECM Summary

B1B2factorcurvesGHz-days
10.005
10.005
5000050000002811.372
250000250000003699.009
2500002500000030.073
2500002500000020.049
25000031250000150.396
25000036000000280.783
25000038464196140.403
25000038500000280.806
25000023541903080.898
25000036753717010016.41


Lucas-Lehmer results:
No L-L results for M203657


PRP results:
dateuseridcompidcofactorsres64
2017-09-22Oliver KruseOllaptopA7C0003DA3FC97__
2017-10-12kkmrkkblmbrbkc4.xlarge
6109711
158455369581401
448821536522329129
135135144122148732391
A7C0003DA3FC9777
2019-11-20mnd927016b
6109711
158455369581401
448821536522329129
135135144122148732391
7639839012609820796998312583
6420975A2BF5756A
2019-11-21mnd9printer
6109711
158455369581401
448821536522329129
135135144122148732391
7639839012609820796998312583
6420975A2BF5756A
2019-11-21marssystemssystem03
6109711
158455369581401
448821536522329129
135135144122148732391
7639839012609820796998312583
6420975A2BF5756A
2020-05-31M Millercruncher
6109711
158455369581401
448821536522329129
135135144122148732391
7639839012609820796998312583
132602900510114310940573183
6420975A2BF5756A
2023-08-03USAFSSUSAFSACS
6109711
158455369581401
448821536522329129
135135144122148732391
132602900510114310940573183
7639839012609820796998312583
6420975A2BF5756A


CERT results:
dateuseridcompid
2023-08-03ChuckMaingear_i7-7800


P-1 factor-bounds graph:
B1 = 30000000, B2 = 10264076402580 (P-1 stage 2)
B1 = 30000000, B2 = 3000000000 (P-1 stage 2)
B1 = 30000000 (P-1 stage 1)
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109
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102
103
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109
1010
1011
1012
1013
1014
1015
1016
1017
TF factor-bounds graph:
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=30.44 ~= 85-bit
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Last modified: 2024-03-13T02:15:48+00:00