is 2 2825101 - 1
has 850441 decimal digits
takes 0.218 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
1 primality tests remaining
ResidueStatus
L-L549855EEF970A686double-checked
PRP33B8AEB0D94CB4__verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26821.098367.6471%50000002000000001.74989.1660%22.848170.6125%2.9655%
PrimeNet2590.027262.7119%120002400000.00272.9318%0.029963.8051%1.0932%
GPU722630.564965.0794%160002600000.00331.8259%0.568265.7170%0.6376%
Difference+5+20.5334+2.5677%+4984000+199740000+1.7465+7.3401%+22.2799+4.8955%+4.8955%

Known prime factors (1 factor, 83.5 bits, 0.00295643% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2825101138878838073156325821128172683.5222457944655308895608
23 × 307243081913611951
2020-12-158307243081913611951775,6511.875e+93.501e+9

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-11-28T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.243%
2016-09-18T02:20:29Jocelyn Larouchelow 4M12000033000006---0.033--2.866%
2016-09-21T12:09:19Jocelyn Larouchelow 4M1200003630000---0.035--2.926%
2016-09-22T12:02:47Jocelyn Larouchelow 4M1200003993000---0.037--2.987%
2016-12-24T02:28:32Jocelyn Larouchelow 4M207360207360---0.023--1.255%
2017-02-25T21:08:07Jocelyn Larouchelow 4M29859829859806---0.050--3.228%
2017-10-04T07:45:23Jocelyn Larouchelow 4M59719659719606---0.100--4.095%
2019-11-10T16:24:50masserManual testing30000003000000012---0.501--6.483%
2020-01-24T15:13:23masserManual testing500000020000000012---1.750--9.166%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-02-23T16:29:22Mark RoseManual testing21260--0.054--
2009-02-14T09:18:00Sturle Sundefoster.ifi260261--0.054--
2012-02-18T03:34:00markroldgamer261262--0.109--
2013-01-10T10:21:00dbaughManual testing262263--0.347--
2015-04-21T09:19:00VictordeHollanderManual testing263264--0.695--
2015-04-21T09:19:00VictordeHollanderManual testing264265--1.323--
2016-02-13T14:46:55ramgeisManual testing265266--2.645--
2017-10-28T16:39:38Gordon SpenceManual testing266267--5.290--
2019-01-03T01:11:02chuenkitManual testing267268--10.58--


ECM factoring results:

Old Calculation Method

Total ECM effort:5.947 GHz-days
Estimated T-Level:2.850
DigitsB1CurvesCompleteFacMiss
201100057 / 1000.57056.391%
255000057 / 2800.20481.551%

New Calculation Method

Total ECM effort:5.947 GHz-days
Estimated T-Level:2.850
DigitsB1CompleteFacMiss
20110001.83915.902%
25500000.16684.689%
302500000.01098.982%


ECM Summary

B1B2factorcurvesGHz-days
500005000000515.321
50000500000060.626


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-08-31T00:00:00ANONYMOUSv4_computers549855EEF970A6860.218
2018-09-08T06:42:21kkmrkkblmbrbkold549855EEF970A6860.218


PRP results:
dateuseridcompidcofactorsres64PRP
2020-12-15T22:13:17JayderBlack_Adder
13887883807315632582112817
33B8AEB0D94CB4__no


P-1 factor-bounds graph:
B1 = 5000000, B2 = 200000000 (P-1 stage 2)
B1 = 5000000 (P-1 stage 1)
B1 = 3000000, B2 = 30000000 (P-1 stage 2)
B1 = 3000000 (P-1 stage 1)
B1 = 597196, B2 = 5971960 (P-1 stage 2)
B1 = 597196 (P-1 stage 1)
B1 = 298598, B2 = 2985980 (P-1 stage 2)
B1 = 120000, B2 = 3993000 (P-1 stage 2)
B1 = 120000, B2 = 3630000 (P-1 stage 2)
B1 = 298598 (P-1 stage 1)
B1 = 120000, B2 = 3300000 (P-1 stage 2)
B1 = 207360 (P-1 stage 1)
B1 = 120000 (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: 2020-12-15T22:13:17+00:00