is 2 2824697 - 1
has 850319 decimal digits
takes 0.218 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L3927FDDCF5628598double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26821.101367.6471%50000002000000001.74989.1659%22.851170.6125%2.9654%
PrimeNet2590.027262.7119%120002400000.00272.9317%0.029963.8051%1.0932%
GPU722630.565065.0794%160002600000.00331.8259%0.568365.7170%0.6376%
Difference+5+20.5363+2.5677%+4984000+199740000+1.7465+7.3400%+22.2828+4.8955%+4.8955%

Known prime factors (1 factor, 77.3 bits, 0.00273529% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
28246971814278790719875403679932477.26432114573540451868
22 × 1601 × 5014767885767
2020-09-101601501476788576713,01230,59857,149

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%
2016-12-24T02:28:31Jocelyn Larouchelow 4M207360207360---0.023--1.255%
2017-02-25T21:08:06Jocelyn Larouchelow 4M29859829859806---0.050--3.228%
2017-10-04T07:45:22Jocelyn Larouchelow 4M59719659719606---0.100--4.095%
2019-11-10T16:24:49masserManual testing30000003000000012---0.501--6.483%
2020-01-24T15:13:22masserManual testing500000020000000012---1.750--9.166%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-02-23T16:29:22Mark RoseManual testing21260--0.054--
2009-02-14T04:43:00Sturle Sundefoster.ifi260261--0.054--
2012-02-19T06:43:00Grant McCrackenthumper261262--0.109--
2013-01-10T10:21:00dbaughManual testing262263--0.348--
2015-04-21T09:19:00VictordeHollanderManual testing263264--0.695--
2015-04-21T09:19:00VictordeHollanderManual testing264265--1.323--
2016-02-13T14:46:55ramgeisManual testing265266--2.646--
2017-10-28T16:39:38Gordon SpenceManual testing266267--5.291--
2019-01-03T01:11:02chuenkitManual testing267268--10.58--


ECM factoring results:

Old Calculation Method

Total ECM effort:3.860 GHz-days
Estimated T-Level:1.850
DigitsB1CurvesCompleteFacMiss
201100037 / 1000.37068.945%
255000037 / 2800.13287.601%

New Calculation Method

Total ECM effort:3.860 GHz-days
Estimated T-Level:1.850
DigitsB1CompleteFacMiss
20110001.19430.314%
25500000.10889.774%
302500000.00799.338%


ECM Summary

B1B2factorcurvesGHz-days
500005000000303.130
50000500000070.730


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-05-30T00:00:00ANONYMOUSv4_computers3927FDDCF56285980.218
2018-09-08T02:44:37kkmrkkblmbrbkold3927FDDCF56285980.218


PRP results:
dateuseridcompidcofactorsres64PRP
2020-09-12T19:48:37Sébastien BrouckePortable_Seb
181427879071987540367993
150BE38485DA93B6no
2020-09-13T17:57:41marssystemssystem03
181427879071987540367993
150BE38485DA93B6no


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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2100
Last modified: 2020-09-13T17:57:41+00:00