is 2 29931401 - 1
has 9010250 decimal digits
takes 31.179 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
Actual2693.988763.7681%200000712893306.15216.6308%10.140866.1706%2.4025%
PrimeNet2670.992762.6866%13000050000000.59714.9065%1.589864.5173%1.8308%
GPU7227115.972564.7887%20000060000000.77943.5587%16.751866.0418%1.2531%
Difference-2-11.9838-1.0206%-+65289330+5.3728+3.0720%-6.6110+0.1288%+1.1494%

Known prime factors (4 factors, 166.9 bits, 0.00055752% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
29931401179588407927.4203
3
-135.978e-131.675e-63.074e-6
29931401655497681911135.9321095
3 × 5 × 73
2008-09-095731.892e-101.315e-51.537e-5
299314017084762616711239.36611835
32 × 5 × 263
2008-09-0992633.821e-93.450e-54.021e-5
29931401205658316917754882312064.157343549433115
32 × 5 × 7 × 1090633121
2017-08-01910906331210.138889.750167.63

11 Composite Factors:
exponentprime factorscomposite factordigitsbits*
29931401117719784486409617372063.352
299314011272341232308100480972166.786
29931401464404547213603083071612375.298
2993140136933849521560749330525380172891.577
29931401134808550005100461475789866012131100.089
29931401834016728376472664191191068252731102.718
299314011457040355514407541852973689400132103.523
2993140124210052745395833751401971103856481724739127.509
29931401261667556381546115990161373092276744640740130.943
2993140195508657548901642929164555944198588852219142139.455
2993140117152247663915770653331476442881005463617986583973
7
51166.875
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2022-05-24T02:30:32masserManual testing20000071289330-
skipped known factor: 179588407
skipped known factor: 65549768191
skipped known factor: 708476261671
--6.152--6.631%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-09-09T01:41:00Will EdgingtonManual testing??35.932113.62459e-1164.467.49385e-11
2008-09-09T01:41:00Will EdgingtonManual testing??39.366121.37436e-964.462.84150e-9
2017-08-01T11:13:03TJAOIManual testing264265*64.157200.02064.220.041
2022-09-25T06:23:21LordJuliusManual testing2126563.352200.10464.340.215
2022-09-25T06:23:21LordJuliusManual testing2126527.42095.97762e-1364.461.23588e-12
2022-09-25T06:23:21LordJuliusManual testing2126564.157200.13964.220.286
2022-09-25T06:23:21LordJuliusManual testing2126535.932111.89174e-1064.463.91117e-10
2022-09-25T06:23:21LordJuliusManual testing2126539.366123.82121e-964.467.90036e-9
2022-09-25T06:23:21LordJuliusManual testing265266--0.250--
2022-09-25T06:23:21LordJuliusManual testing266267--0.499--
2022-09-22T12:36:07masserManual testing267269--2.996--


ECM factoring results:
No ECM results for M29931401


Lucas-Lehmer results:
No L-L results for M29931401


PRP results:
No PRP results for M29931401


P-1 factor-bounds graph:
B1 = 200000, B2 = 71289330 (P-1 stage 2)
B1 = 200000 (P-1 stage 1)
100
101
102
103
104
105
106
100
101
102
103
104
105
106
107
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109
1010
TF factor-bounds graph:
269
267
266
265
2
220
230
240
250
260
270
280
290
2100
Last modified: 2022-09-25T06:23:21+00:00