is 2 3673 - 1
has 1106 decimal digits
takes 0.000 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L8AEA7DA7C5F28396double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual2678,089.822482.0896 %7200000000090401203222730400354,907.473638.3790 %362,997.295988.9634 %
Target2440.000672.7273 %500500000.00000.9241 %0.000672.9793 %
Difference+23+8,089.8217+9.3623 %+71999999500+90401203222680400+354,907.4736+37.4549%+362,997.2953+15.9841 %

Known prime factors:
No known factors for M3673

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2001-02-11ANONYMOUSv4_computers1000000100000000--0.00024.990%
2001-06-09ANONYMOUSv4_computers430000004290000000--0.02036.953%
2001-06-17ANONYMOUSv4_computers30000000004290000000--0.22135.078%
2002-06-02ANONYMOUSv4_computers10737418244290000000--0.09036.094%
2002-08-03ANONYMOUSv4_computers2147483648429000000048--0.16335.450%
2002-09-14ANONYMOUSv4_computers3221225472429000000048--0.23634.993%
2002-12-31ANONYMOUSv4_computers42900000004290000000--0.30934.627%
2011-04-21JossManual testing1000000000010000000000--0.72136.570%
2015-02-01JayderHPJared313100571520038436574012--1.00047.458%
2015-02-18mikrMSI25000000000200000000000012--9.5652.831%
2016-05-08ANONYMOUSManual testing100000000000100000000000012---49.269%
2016-05-12ANONYMOUSManual testing200000000000200000000000012--21.4850.550%
2016-05-18ANONYMOUSManual testing400000000000400000000000012--42.9651.772%
2023-07-07masserManual testing7200000000090401203222730400--354,90776.861%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-05-13ATH5960X100000000024100000000027--1.033
2023-07-11masserManual testing254000000010160000000019067--0.659
2023-08-12masserManual testing254000000045466000000065--2.018


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1998-03-03ANONYMOUSv4_computers2502530.286
1999-09-22ANONYMOUSv4_computers2522530.163
1999-12-23ANONYMOUSv4_computers2532540.327
2000-02-01ANONYMOUSv4_computers2542550.653
2000-08-17ANONYMOUSv4_computers212562.614
2003-02-02ANONYMOUSv4_computers212575.227
2003-02-16Alex Kruppav4_computers212575.227
2016-02-23LaurVManual testing2572585.227
2011-02-01monstManual testing25826031.36
2012-09-29bcp19Manual testing26026141.82
2015-07-16snme2pm1G126126283.63
2016-11-29snme2pm1g10262263267.3
2018-04-01snme2pm1g10263264534.5
2020-12-30Anton RepkoManual testing2642651,017
2022-05-02Anton RepkoManual testing2652662,035


ECM factoring results:
Total ECM effort:9,653,263.885 GHz-days
Estimated T-Level:66.733
DigitsB1CompleteFacMiss
2011000112,743.1330.000%
255000041,831.2640.000%
3025000019,822.8670.000%
3510000007,670.0780.000%
4030000002,400.9130.000%
4511000000685.1080.000%
5044000000174.6970.000%
5511000000041.0740.000%
602600000008.9410.013%
658000000001.81516.289%
7024000000000.34770.709%
7572000000000.06294.020%
80216000000000.00599.550%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002800.015
250000250000001,2800.317
10000001000000001,8801.949
4400000044000000001164.819
110000000110000000503.866
1100000001100000000019,2462,193
1100000008100803781852501,370
2600000002600000000010024.55
260000000317855988451617,300188,612
8500000001489938239791879,3524,034,790
1000000000190711767246166,000390,133
29000000001051012372179126,6762,380,060
76000000004200000000000001,8682,656,070
various500.1555


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2015-04-11MadPooManual testing8AEA7DA7C5F283961.82528e-7


PRP results:
No PRP results for M3673


CERT results:
No CERT results for M3673


P-1 factor-bounds graph:
B1 = 72000000000, B2 = 90401203222730400 (P-1 stage 2)
B1 = 400000000000, B2 = 4000000000000 (P-1 stage 2)
B1 = 400000000000 (P-1 stage 1)
B1 = 200000000000, B2 = 2000000000000 (P-1 stage 2)
B1 = 200000000000 (P-1 stage 1)
B1 = 100000000000, B2 = 1000000000000 (P-1 stage 2)
B1 = 25000000000, B2 = 2000000000000 (P-1 stage 2)
B1 = 100000000000 (P-1 stage 1)
B1 = 72000000000 (P-1 stage 1)
B1 = 25000000000 (P-1 stage 1)
B1 = 3131005715, B2 = 200384365740 (P-1 stage 2)
B1 = 10000000000 (P-1 stage 1)
B1 = 4290000000 (P-1 stage 1)
B1 = 3221225472, B2 = 4290000000 (P-1 stage 2)
B1 = 3221225472 (P-1 stage 1)
B1 = 3131005715 (P-1 stage 1)
B1 = 3000000000, B2 = 4290000000 (P-1 stage 2)
B1 = 3000000000 (P-1 stage 1)
B1 = 2147483648, B2 = 4290000000 (P-1 stage 2)
B1 = 2147483648 (P-1 stage 1)
B1 = 1073741824, B2 = 4290000000 (P-1 stage 2)
B1 = 1073741824 (P-1 stage 1)
B1 = 43000000, B2 = 4290000000 (P-1 stage 2)
B1 = 43000000 (P-1 stage 1)
B1 = 1000000, B2 = 100000000 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
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TF factor-bounds graph:
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this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=66.73 ~= 205-bit
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Last modified: 2024-02-09T03:30:02+00:00