is 2 1030349 - 1
has 310166 decimal digits
takes 0.031 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L39162DAF696DF1C6double-checked
PRP538A1ACA95D03635verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual271463.996571.8310%2800000085350951840200.984714.9439%664.981176.0405%4.2096%
PrimeNet2560.009364.2857%4500600000.00031.9511%0.009664.9825%0.6968%
GPU722600.149166.6667%4500180000.00020.6148%0.149366.8716%0.2049%
Difference+11+463.8474+5.1643%+27995500+85350933840+200.9844+14.3291%+664.8318+9.1689%+9.1689%

Known prime factors:
No known factors for M1030349

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2002-01-22T00:00:00Jocelyn Larouchev4_computers10000117500---0.001--0.259%
2002-11-09T00:00:00Jocelyn Larouchev4_computers1100011000---0.000--0.067%
2002-11-09T00:00:00Jocelyn Larouchev4_computers1500015000---0.001--0.094%
2002-11-16T00:00:00Jocelyn Larouchev4_computers2000020000---0.001--0.124%
2012-01-02T19:32:00bcp19Toshiba-740Q20000010000000---0.032--2.468%
2012-02-23T08:03:00bcp19Toshiba-740Q200000100000000---0.242--3.714%
2014-07-18T01:20:00Jocelyn LaroucheManual testing262293262293---0.011--0.807%
2014-10-18T13:18:00Jocelyn LaroucheManual testing324586324586---0.014--0.905%
2015-10-16T08:06:38Bruno Victal5820K-linux5000001500000012---0.055--3.170%
2016-03-26T12:20:29Jocelyn LaroucheManual testing12022951202295---0.052--1.680%
2016-05-17T17:05:54Bruno Victal4790K-windows25000006250000012---0.248--5.071%
2018-03-25T11:41:48Jocelyn Larouchelow 4M122229512222950012---0.336--5.232%
2018-10-21T20:52:08Jocelyn Larouchelow 4M122229520606980012---0.532--5.666%
2018-11-19T20:31:52Jocelyn LaroucheManual testing1222295207100149---0.535--5.670%
2022-01-31T16:09:58mognutsStrand1150003047384340---7.140--5.176%
2022-05-24T01:24:59axnManual testing2800000085350951840---201.0--14.944%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-11-04T00:00:00ANONYMOUSv4_computers21257--0.019--
2003-02-02T00:00:00ANONYMOUSv4_computers21258--0.037--
2016-02-23T16:28:19Mark RoseManual testing258260--0.112--
2009-02-14T15:16:00Sturle Sundedanzi.ifi260261--0.149--
2010-11-08T09:10:00Michael CManual testing261262--0.298--
2010-11-29T00:12:00Michael CManual testing262263--0.953--
2010-11-29T00:12:00Michael CManual testing263264--1.905--
2013-03-22T15:19:00Never Odd Or EvenManual testing264265--3.626--
2013-03-22T15:19:00Never Odd Or EvenManual testing265266--7.253--
2013-03-22T15:19:00Never Odd Or EvenManual testing266267--14.51--
2013-03-22T15:19:00Never Odd Or EvenManual testing267268--29.01--
2013-05-02T11:26:00Never Odd Or EvenManual testing268269--58.02--
2013-05-02T11:26:00Never Odd Or EvenManual testing269270--116.0--
2014-04-01T16:42:00Never Odd Or EvenManual testing270271--232.1--


ECM factoring results:

Old Calculation Method

Total ECM effort:17.483 GHz-days
Estimated T-Level:25.344
DigitsB1CurvesCompleteFacMiss
2011000325 / 1003.2503.815%
2550000325 / 2801.16131.261%
3025000044 / 6400.06993.351%

New Calculation Method

Total ECM effort:17.483 GHz-days
Estimated T-Level:25.344
DigitsB1CompleteFacMiss
201100012.7310.000%
25500001.34925.941%
302500000.10889.793%
3510000000.00799.295%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002819.81
25000025000000447.677


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2002-02-03T00:00:00ANONYMOUSv4_computers39162DAF696DF1C60.031
2016-06-01T18:46:57MadPooManual testing39162DAF696DF1C60.031


PRP results:
dateuseridcompidcofactorsres64PRP
2020-11-01T05:29:33Ethan O'ConnorManual testing538A1ACA95D03635no


P-1 factor-bounds graph:
B1 = 28000000, B2 = 85350951840 (P-1 stage 2)
B1 = 115000, B2 = 3047384340 (P-1 stage 2)
B1 = 28000000 (P-1 stage 1)
B1 = 1222295, B2 = 207100149 (P-1 stage 2)
B1 = 1222295, B2 = 206069800 (P-1 stage 2)
B1 = 1222295, B2 = 122229500 (P-1 stage 2)
B1 = 2500000, B2 = 62500000 (P-1 stage 2)
B1 = 200000, B2 = 100000000 (P-1 stage 2)
B1 = 2500000 (P-1 stage 1)
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 1222295 (P-1 stage 1)
B1 = 1202295 (P-1 stage 1)
B1 = 200000, B2 = 10000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
B1 = 324586 (P-1 stage 1)
B1 = 262293 (P-1 stage 1)
B1 = 200000 (P-1 stage 1)
B1 = 115000 (P-1 stage 1)
B1 = 20000 (P-1 stage 1)
B1 = 10000, B2 = 117500 (P-1 stage 2)
B1 = 15000 (P-1 stage 1)
B1 = 11000 (P-1 stage 1)
B1 = 10000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-05-24T01:24:59+00:00