is 2 74297 - 1
has 22366 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-L35B9EAD8FF96D66Edouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual267399.934374.6269%10000000009158129352372010,593.129228.8567%10,993.063581.9487%7.3218%
PrimeNet2400.000057.5000%700100000.00005.6990%0.000059.9221%2.4221%
GPU722440.000061.3636%500100000.00002.2831%0.000062.2457%0.8821%
Difference+23+399.9343+13.2632%+999999500+91581293513720+10,593.1292+26.5736%+10,993.0634+19.7030%+19.7030%

Known prime factors (1 factor, 115.2 bits, 0.15498622% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
742974609340221781133442250062982574923935115.150310196927317464597645265823827
310196927317464597645265823827		2021-02-1813101969273174645976452658238271.864e+123.587e+196.700e+19

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-05-06T00:00:00ANONYMOUSv4_computers10000010000000---0.001--2.251%
2001-08-18T00:00:00Alex Kruppav4_computers1000000100000000---0.014--5.276%
2002-06-09T00:00:00ANONYMOUSv4_computers327683276800---0.000--1.243%
2002-07-20T00:00:00ANONYMOUSv4_computers655366553600---0.001--1.830%
2003-02-02T00:00:00ANONYMOUSv4_computers13107213107200---0.002--2.544%
2003-03-27T00:00:00ANONYMOUSv4_computers26214426214400---0.004--3.375%
2003-05-19T00:00:00ANONYMOUSv4_computers1048576104857600---0.014--5.350%
2003-06-06T00:00:00ANONYMOUSv4_computers2097152209715200---0.028--6.478%
2003-08-25T00:00:00ANONYMOUSv4_computers4194304419430400---0.057--7.690%
2003-11-16T00:00:00ANONYMOUSv4_computers8388608838860800---0.114--8.974%
2003-12-13T00:00:00ANONYMOUSv4_computers167772161677721600---0.228--10.308%
2012-08-23T13:52:00LaurVpinch1000000002000000000---0.432--11.469%
2022-04-16T07:10:15George WoltmanSkylakeX100000000091581293523720---10,593--28.857%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-10-21T00:00:00ANONYMOUSv4_computers252253--0.008--
2000-04-05T00:00:00ANONYMOUSv4_computers21254--0.032--
2000-11-25T00:00:00ANONYMOUSv4_computers21256--0.129--
2002-10-07T00:00:00ANONYMOUSv4_computers21257--0.258--
2016-02-23T04:51:23LaurVManual testing257258--0.258--
2016-02-23T04:50:27LaurVManual testing258259--0.517--
2009-02-07T08:29:00Sturle Sundeginy.ifi259260--1.034--
2013-11-29T19:11:00LaurVManual testing260261--2.067--
2015-03-05T01:49:00Sid & AndyMrs_Potato_Head261262--4.134--
2016-01-03T12:36:12Sid & AndyWoody262263--13.21--
2017-04-01T06:53:51snme2pm1G1263264--26.43--
2018-10-18T10:27:34YxinityManual testing264265--50.29--
2018-10-17T09:06:05YxinityElena264265--50.29--


ECM factoring results:

Old Calculation Method

Total ECM effort:137.289 GHz-days
Estimated T-Level:36.105
DigitsB1CurvesCompleteFacMiss
20110002530 / 10025.3000.000%
25500002530 / 2809.0360.012%
302500002500 / 6403.9062.005%
3510000002387 / 15801.51122.064%
4030000001039 / 47000.22180.165%

New Calculation Method

Total ECM effort:137.289 GHz-days
Estimated T-Level:36.105
DigitsB1CompleteFacMiss
2011000410.7560.000%
255000089.4390.000%
3025000015.7640.000%
3510000002.25010.541%
4030000000.26876.493%
45110000000.02897.268%
50440000000.00399.745%


ECM Summary

B1B2factorcurvesGHz-days
500005000000300.046
250000250000001130.863
10000001000000001,34841.17
30000003000000001,03394.66
300000030000000060.550


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2015-04-11T05:58:00MadPooManual testing35B9EAD8FF96D66E0.000


PRP results:
dateuseridcompidcofactorsres64PRP
2021-02-18T16:34:47mnd9vv
46093402217811334422500629825749239
0B407EFD75A6B1__no
2021-02-19T13:05:03M89093871
46093402217811334422500629825749239
0B407EFD75A6B1C4no


P-1 factor-bounds graph:
B1 = 1000000000, B2 = 91581293523720 (P-1 stage 2)
B1 = 1000000000 (P-1 stage 1)
B1 = 100000000, B2 = 2000000000 (P-1 stage 2)
B1 = 16777216, B2 = 1677721600 (P-1 stage 2)
B1 = 100000000 (P-1 stage 1)
B1 = 8388608, B2 = 838860800 (P-1 stage 2)
B1 = 4194304, B2 = 419430400 (P-1 stage 2)
B1 = 16777216 (P-1 stage 1)
B1 = 2097152, B2 = 209715200 (P-1 stage 2)
B1 = 8388608 (P-1 stage 1)
B1 = 1048576, B2 = 104857600 (P-1 stage 2)
B1 = 1000000, B2 = 100000000 (P-1 stage 2)
B1 = 4194304 (P-1 stage 1)
B1 = 2097152 (P-1 stage 1)
B1 = 262144, B2 = 26214400 (P-1 stage 2)
B1 = 1048576 (P-1 stage 1)
B1 = 1000000 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 100000, B2 = 10000000 (P-1 stage 2)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 262144 (P-1 stage 1)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 131072 (P-1 stage 1)
B1 = 100000 (P-1 stage 1)
B1 = 65536 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-04-16T07:10:15+00:00