is 2 2844197 - 1
has 856189 decimal digits
takes 0.220 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LBED946EE32D7BC45double-checked
PRP557EA3E582A20E13verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26941.975668.1159%50000002000000001.74988.4934%43.725470.8240%2.7080%
PrimeNet2590.027062.7119%130002400000.00282.9918%0.029863.8274%1.1156%
GPU722630.561165.0794%160002600000.00331.8283%0.564465.7178%0.6384%
Difference+6+41.4144+3.0366%+4984000+199740000+1.7465+6.6652%+43.1609+5.1062%+5.1062%

Known prime factors (1 factor, 78.2 bits, 0.00275059% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
28441973550378011964459186456492478.23262414418058321192
23 × 63697 × 122483040917
2021-07-096369712248304091741,332747.361,395.8

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-11-28T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.197%
2008-10-31T19:30:00Jayson Kingatlas35000560000---0.007--1.207%
2011-01-24T11:29:00Jocelyn LaroucheManual testing5000050000---0.006--0.464%
2012-01-13T03:51:00Squeeky_SquirrelP4_26001950004875000---0.050--3.046%
2017-06-28T04:14:49Jocelyn Larouchelow 4M39000039000006---0.065--3.201%
2019-10-30T03:36:19masserManual testing28500002850000012---0.476--5.875%
2020-02-11T03:26:37masserManual testing500000020000000012---1.750--8.493%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-02-23T16:29:23Mark RoseManual testing21260--0.054--
2009-02-13T16:43:00Sturle Sundegiacco.ifi260261--0.054--
2012-02-08T13:13:00Grant McCrackenthumper261262--0.108--
2013-01-10T10:23:00dbaughManual testing262263--0.345--
2015-04-21T09:19:00VictordeHollanderManual testing263264--0.690--
2015-04-21T09:19:00VictordeHollanderManual testing264265--1.314--
2016-02-14T20:28:49ramgeisManual testing265266--2.627--
2017-11-04T13:51:45Gordon SpenceManual testing266267--5.255--
2019-01-05T03:38:52chuenkitManual testing267268--10.51--
2021-07-08T15:44:02TJAOIManual testing268269--21.02--


ECM factoring results:

Old Calculation Method

Total ECM effort:9.493 GHz-days
Estimated T-Level:4.450
DigitsB1CurvesCompleteFacMiss
201100089 / 1000.89040.882%
255000089 / 2800.31872.729%

New Calculation Method

Total ECM effort:9.493 GHz-days
Estimated T-Level:4.450
DigitsB1CompleteFacMiss
20110003.4683.118%
25500000.32072.590%
302500000.02097.997%


ECM Summary

B1B2factorcurvesGHz-days
500005000000757.834
50000645000070.823
50000665000070.836


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-07-27T00:00:00ANONYMOUSv4_computersBED946EE32D7BC450.220
2018-09-15T00:08:21kkmrkkblmbrbkoldBED946EE32D7BC450.220


PRP results:
dateuseridcompidcofactorsres64PRP
2021-07-10T13:56:51kutenssol
355037801196445918645649
557EA3E582A20E13no


P-1 factor-bounds graph:
B1 = 5000000, B2 = 200000000 (P-1 stage 2)
B1 = 5000000 (P-1 stage 1)
B1 = 2850000, B2 = 28500000 (P-1 stage 2)
B1 = 2850000 (P-1 stage 1)
B1 = 390000, B2 = 3900000 (P-1 stage 2)
B1 = 195000, B2 = 4875000 (P-1 stage 2)
B1 = 390000 (P-1 stage 1)
B1 = 195000 (P-1 stage 1)
B1 = 35000, B2 = 560000 (P-1 stage 2)
B1 = 50000 (P-1 stage 1)
B1 = 35000 (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: 2021-07-10T13:56:51+00:00