is 2 3049 - 1
has 918 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-L178E15E4ABB8F6E3double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual2679,745.463382.0896 %2160000000004071549819365028001,326,828.513041.0631 %1,336,573.976389.4441 %
Target2440.000872.7273 %500500000.00000.8708 %0.000872.9648 %
Difference+23+9,745.4625+9.3623 %+215999999500+407154981936452800+1,326,828.5130+40.1923%+1,336,573.9755+16.4794 %

Known prime factors:
No known factors for M3049

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2001-02-11ANONYMOUSv4_computers1000000100000000--0.00024.658%
2001-06-09ANONYMOUSv4_computers30000000004290000000--0.18434.796%
2002-06-02ANONYMOUSv4_computers10737418244290000000--0.07535.795%
2002-08-03ANONYMOUSv4_computers2147483648429000000048--0.13535.160%
2002-09-14ANONYMOUSv4_computers3221225472429000000048--0.19634.713%
2002-12-31ANONYMOUSv4_computers42900000004290000000--0.25734.356%
2011-04-19JossManual testing1000000000010000000000--0.59836.315%
2015-01-30JayderHPJared372616419324220067257312--1.00047.617%
2015-03-17mikrColor40000000000200000000000012--8.78052.170%
2016-05-08ANONYMOUSManual testing100000000000100000000000012---49.031%
2016-05-08ANONYMOUSManual testing200000000000200000000000012--17.8350.323%
2016-05-17ANONYMOUSManual testing400000000000400000000000012--35.6651.554%
2023-07-06masserManual testing216000000000407154981936502800--1,326,83079.372%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-05-13ATH5960X100000000024100000000027--0.857
2023-07-15masserManual testing314000000012560000000019037--0.677
2023-08-12masserManual testing314000000056206000000065--2.070


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1999-09-22ANONYMOUSv4_computers2522530.197
1999-12-23ANONYMOUSv4_computers2532540.394
2000-02-09ANONYMOUSv4_computers2542550.787
2000-08-17ANONYMOUSv4_computers212563.148
2003-01-25Alex Kruppav4_computers212576.297
2003-02-16Alex Kruppav4_computers212576.297
2016-02-23LaurVManual testing2572586.297
2011-01-23monstManual testing25826037.78
2012-09-29bcp19Manual testing26026150.37
2015-07-16snme2pm1G1261262100.7
2016-10-07snme2pm1g10262263322.0
2018-03-21snme2pm1g10263264643.9
2020-12-27Anton RepkoManual testing2642651,225
2022-06-26Anton RepkoManual testing2652662,451


ECM factoring results:
Total ECM effort:9,803,791.694 GHz-days
Estimated T-Level:67.040
DigitsB1CompleteFacMiss
2011000135,103.1680.000%
255000051,364.8310.000%
3025000023,916.1130.000%
3510000009,155.9480.000%
4030000002,846.5280.000%
4511000000807.4490.000%
5044000000205.1530.000%
5511000000048.1370.000%
6026000000010.4740.003%
658000000002.12811.902%
7024000000000.40866.503%
7572000000000.07293.017%
80216000000000.00699.434%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002800.012
250000250000006400.138
10000001000000001,8801.618
100000010000000003931.328
10000001000000000001,215340.9
30000003000000001000.235
10000000100000000000786224.6
1100000011000000001000.862
11000000100000000000500143.2
110000001000000000000050014,001
30000000100000000089018.00
300000001000000000001,110330.1
430000002404906604263,6362,539
440000004400000050012.84
4400000044000000001465.035
11000000011000000046529.85
1100000001100000000013,7231,297
11000000010000000000020068.77
11000000011000000000019974.00
1100000007762783965404,90410,971
11000000010000000000001,0503,007
11000000020112633941582001,139
11000000085000000000005119.3
110000000870000000000010244.2
110000000100000000000001,00028,060
1600000001600000000060082.63
170000000170000000001,200175.6
26000000026000000012018.21
2600000002600000000012224.86
26000000010000000000001,4654,323
260000000317855988451621,308192,833
2600000001000000000000001280.1
4400000001000000000001,500803.2
44000000010000000000005001,528
8500000008500000000010368.62
8500000008500000000001337.35
8500000001489938239791889,7843,789,470
850000000850000000000004953.9
850000000100000000000000205,609
1000000000190711767246166,456348,450
29000000001051012372179127,6242,256,170
76000000004200000000000002,5963,063,960
29000000000001000000000000011,712
29000000000001000000000000003874,634
various1529.1062


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2015-04-11MadPooManual testing178E15E4ABB8F6E31.25771e-7


PRP results:
No PRP results for M3049


CERT results:
No CERT results for M3049


P-1 factor-bounds graph:
B1 = 216000000000, B2 = 407154981936502800 (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 = 216000000000 (P-1 stage 1)
B1 = 200000000000 (P-1 stage 1)
B1 = 100000000000, B2 = 1000000000000 (P-1 stage 2)
B1 = 40000000000, B2 = 2000000000000 (P-1 stage 2)
B1 = 100000000000 (P-1 stage 1)
B1 = 40000000000 (P-1 stage 1)
B1 = 3726164193, B2 = 242200672573 (P-1 stage 2)
B1 = 10000000000 (P-1 stage 1)
B1 = 4290000000 (P-1 stage 1)
B1 = 3726164193 (P-1 stage 1)
B1 = 3221225472, B2 = 4290000000 (P-1 stage 2)
B1 = 3221225472 (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 = 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=67.04 ~= 206-bit
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Last modified: 2024-02-09T03:30:02+00:00