is 2 2793121 - 1
has 840814 decimal digits
takes 0.216 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L1A9C7A92E271A1CBdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26942.743268.1159%3000000900000000.86687.2176%43.610070.4172%2.3013%
PrimeNet2590.027562.7119%120002200000.00262.8605%0.030163.7785%1.0666%
GPU722630.571465.0794%150002600000.00321.7889%0.574665.7041%0.6247%
Difference+6+42.1717+3.0366%+2985000+89740000+0.8636+5.4287%+43.0354+4.7131%+4.7131%

Known prime factors:
No known factors for M2793121

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-11-28T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.196%
2010-11-14T17:34:00Jocelyn LaroucheManual testing1500015000---0.002--0.175%
2010-11-22T17:51:00markrtiny1000002075000---0.023--2.204%
2014-11-03T03:43:00Jocelyn LaroucheManual testing122979122979---0.014--0.823%
2016-05-07T02:42:11Jocelyn LaroucheManual testing20000036000006---0.043--2.852%
2017-07-30T01:18:50Jocelyn Larouchelow 4M40000040000006---0.067--3.223%
2019-12-19T22:16:45BigBrotherWinston30000009000000012---0.867--7.218%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-02-23T16:29:21Mark RoseManual testing21260--0.055--
2009-02-14T02:09:00Sturle Sundegofy.ifi260261--0.055--
2012-03-07T03:02:00Grant McCrackenthumper261262--0.110--
2013-01-14T12:31:00dbaughManual testing262263--0.351--
2015-04-21T09:20:00VictordeHollanderManual testing263264--0.703--
2015-04-21T09:20:00VictordeHollanderManual testing264265--1.338--
2016-02-09T10:41:50ramgeisManual testing265266--2.675--
2017-10-19T22:32:33Gordon SpenceManual testing266267--5.351--
2019-02-26T09:24:38chuenkitManual testing267268--10.70--
2021-06-28T11:11:21TJAOIManual testing268269--21.40--


ECM factoring results:

Old Calculation Method

Total ECM effort:13.134 GHz-days
Estimated T-Level:22.214
DigitsB1CurvesCompleteFacMiss
2011000124 / 1001.24028.758%
2550000124 / 2800.44364.169%

New Calculation Method

Total ECM effort:13.134 GHz-days
Estimated T-Level:22.214
DigitsB1CompleteFacMiss
20110004.8140.811%
25500000.44564.063%
302500000.02897.227%
3510000000.00199.869%


ECM Summary

B1B2factorcurvesGHz-days
50000500000011011.46
500006750000141.678


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-04-23T00:00:00ANONYMOUSv4_computers1A9C7A92E271A1CB0.216
2018-08-29T21:02:13kkmrkkblmbrbkold1A9C7A92E271A1CB0.216


PRP results:
No PRP results for M2793121


P-1 factor-bounds graph:
B1 = 3000000, B2 = 90000000 (P-1 stage 2)
B1 = 3000000 (P-1 stage 1)
B1 = 400000, B2 = 4000000 (P-1 stage 2)
B1 = 400000 (P-1 stage 1)
B1 = 200000, B2 = 3600000 (P-1 stage 2)
B1 = 100000, B2 = 2075000 (P-1 stage 2)
B1 = 200000 (P-1 stage 1)
B1 = 122979 (P-1 stage 1)
B1 = 100000 (P-1 stage 1)
B1 = 15000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-04-19T20:48:52+00:00