is 2 13861973 - 1
has 4172870 decimal digits
takes 6.150 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
Actual2684.299964.7059%3000002138020507.67648.1904%11.976367.5966%2.8907%
PrimeNet2650.526363.0769%6000019000000.10313.9961%0.629464.5524%1.4755%
GPU722698.612565.2174%9000022000000.13192.7935%8.744466.1890%0.9716%
Difference-1-4.3127-0.5115%+210000+211602050+7.5446+5.3969%+3.2319+1.4076%+1.9191%

Known prime factors (5 factors, 276.9 bits, 0.00199728% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1386197377409693063371342.816279216
24 × 32 × 7 × 277
-162776.071e-81.944e-52.095e-5
138619733565994494926231548.34112862507
7 × 167 × 11003
2008-10-01167110032.955e-60.00050.0007
13861973126270983202656331753.487455458192
24 × 7 × 4066591
2014-09-261640665918.866e-50.14250.2662
138619732542124665613787371857.8199169418616
23 × 3 × 382059109
2015-08-0683820591090.002313.39125.012
13861973249124788014363184478092374.399898590655220448
25 × 3 × 62501 × 149762713
2022-09-1762501149762713443.755.28739.804

26 Composite Factors:
exponentprime factorscomposite factordigitsbits*
1386197327604253931790659309086519512891.157
13861973977459805252757549535902163212996.303
13861973196785090093985376938923115636931100.634
13861973450281630969594931726043392535931101.829
138619739065202562994949020938199055715132106.160
13861973320996580950776884698652055804552134111.306
1386197319284673374668971517421507126746563336117.215
13861973888377622608883161167718815995601300737122.741
1386197331457231922726972674077596515912684809739127.887
13861973633306268427118673966841242315481683723340132.218
138619733485616284542998295381220994436188026369998344144.644
1386197370173454795871405067846648033264946062496588745148.976
138619732484824680579084009086978433700282683983976657747154.122
13861973114467204056061231903190415413524602238398769158349159.647
138619736876903909051999452358756097974132740722893952535950165.556
1386197324350946677615394644629440628309678371380272584906
89
52170.702
1386197349024043854051467656566783116658775809675824244445
521
53175.034
1386197311217631586206204994483656960440910963708144384308
8431
54176.228
1386197322583666668133784966555871380574348589850058194252
32159
55180.559
1386197379968205182697662944884296012703656182532411209484
713489
56185.705
1386197388608711318018414718603760434085841319766155759692
01403461471
61202.463
1386197386835341798618667693593378932547340392412212615920
6671189819687247
66219.044
1386197317481947050256961339487432242483920574022723909880
047665889414891583
68223.375
1386197361903142180212201628085201756818319633924166065630
4925772149517079793
69228.521
1386197328516617945063108081449528139780757349642614481551
336411350255574091647
71234.047
1386197322074626423327241413894761274167461119612350399810
9559503825318784923884386455867039
84276.862
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2022-09-06T23:40:40nordisweet16_30.8b14300000300000-
skipped known factor: 7740969306337
skipped known factor: 356599449492623
--0.193--1.933%
2022-09-17T02:50:33nordisweet16_30.8b143000002138020502374.3997.67612.3015.358.190%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-10-01T00:44:00markrManual testing??48.341152.50014e-713.035.29519e-7
2014-09-26T11:37:00TJAOIManual testing253254*53.487172.09848e-613.034.44443e-6
2015-07-20T10:24:00TJAOIManual testing257258*57.819180.00113.020.002
2022-09-25T06:23:19LordJuliusManual testing2126453.487178.86607e-513.030.000
2022-09-25T06:23:19LordJuliusManual testing2126457.819180.00213.020.005
2022-09-25T06:23:19LordJuliusManual testing2126448.341152.95508e-613.036.25875e-6
2022-09-25T06:23:19LordJuliusManual testing2126442.816136.07104e-813.031.28582e-7
2022-09-25T06:23:19LordJuliusManual testing264265--0.270--
2022-09-25T06:23:19LordJuliusManual testing265266--0.539--
2022-09-25T06:23:19LordJuliusManual testing266267--1.078--
2022-09-25T06:23:19LordJuliusManual testing267268--2.156--


ECM factoring results:
No ECM results for M13861973


Lucas-Lehmer results:
No L-L results for M13861973


PRP results:
No PRP results for M13861973


P-1 factor-bounds graph:
B1 = 300000, B2 = 213802050 (P-1 stage 2)
B1 = 300000 (P-1 stage 1)
100
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103
104
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106
100
101
102
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104
105
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109
TF factor-bounds graph:
268
267
266
265
264
258
254
2
240
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260
270
280
290
2100
Last modified: 2022-09-25T06:23:19+00:00