is 2 2272253 - 1
has 684017 decimal digits
takes 0.149 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L184AEC329B3C0022double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26826.231667.6471%3000000900000000.73797.6753%26.969570.1302%2.4832%
PrimeNet2580.016962.0690%100001900000.00192.9215%0.018863.1771%1.1081%
GPU722620.270464.5161%120001900000.00211.7081%0.272465.1222%0.6061%
Difference+6+25.9612+3.1309%+2988000+89810000+0.7358+5.9672%+26.6971+5.0080%+5.0080%

Known prime factors (1 factor, 86.1 bits, 0.00379069% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2272253849007509326175273658572492686.13418682063778245100208
24 × 3 × 73 × 401 × 13295858369377
2020-03-204011329585836937710,193,06169,062128,989

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-04-27T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.229%
2010-11-06T12:26:00Jocelyn LaroucheManual testing1500015000---0.001--0.200%
2010-11-13T11:54:00Jocelyn LaroucheManual testing3000030000---0.003--0.357%
2011-01-02T07:02:00markrtiny1000002100000---0.020--2.414%
2014-09-02T00:10:00Jocelyn LaroucheManual testing128247128247---0.012--0.933%
2016-04-02T11:41:50Jocelyn LaroucheManual testing311040311040---0.030--1.477%
2016-04-05T11:03:08Jocelyn LaroucheManual testing373248671846412---0.069--3.876%
2016-04-15T01:15:38Jocelyn LaroucheManual testing3732481353217212---0.104--4.458%
2019-10-08T00:39:29BigBrotherWinston30000009000000012---0.738--7.675%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-02-23T16:29:10Mark RoseManual testing21260--0.068--
2009-01-17T16:10:00Sturle Sundeagrell.ifi260261--0.068--
2012-05-06T12:48:00Sebastian HornbostelManual testing261262--0.135--
2013-01-23T08:24:00dbaughManual testing262263--0.432--
2015-03-10T10:45:00VictordeHollanderManual testing263264--0.864--
2015-03-10T10:45:00VictordeHollanderManual testing264265--1.644--
2015-10-31T16:44:11ramgeisManual testing265266--3.289--
2017-01-16T00:47:38Gordon SpenceManual testing266267--6.577--
2019-04-29T13:20:30TJAOIManual testing267268--13.15--


ECM factoring results:

Old Calculation Method

Total ECM effort:4.385 GHz-days
Estimated T-Level:2.550
DigitsB1CurvesCompleteFacMiss
201100051 / 1000.51059.896%
255000051 / 2800.18283.321%

New Calculation Method

Total ECM effort:4.385 GHz-days
Estimated T-Level:2.550
DigitsB1CompleteFacMiss
20110001.64519.298%
25500000.14986.184%
302500000.00999.089%


ECM Summary

B1B2factorcurvesGHz-days
500005000000484.127
50000500000030.258


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-02-21T00:00:00ANONYMOUSv4_computers184AEC329B3C00220.149
2018-04-26T10:19:14kkmrkkblmbrbkold184AEC329B3C00220.149


PRP results:
dateuseridcompidcofactorsres64PRP
2020-03-21T10:14:57Christoph ZengerManual testing
84900750932617527365857249
3D703053F9883221no
2020-03-21T14:53:07Niels_Mache_NextcloudSuperDry-X
84900750932617527365857249
3D703053F9883221no


P-1 factor-bounds graph:
B1 = 3000000, B2 = 90000000 (P-1 stage 2)
B1 = 3000000 (P-1 stage 1)
B1 = 373248, B2 = 13532172 (P-1 stage 2)
B1 = 373248, B2 = 6718464 (P-1 stage 2)
B1 = 373248 (P-1 stage 1)
B1 = 311040 (P-1 stage 1)
B1 = 100000, B2 = 2100000 (P-1 stage 2)
B1 = 128247 (P-1 stage 1)
B1 = 100000 (P-1 stage 1)
B1 = 30000 (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: 2020-03-21T14:53:07+00:00