is 2 2263687 - 1
has 681438 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-LD6AE1DFA592C60C6double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26826.330967.6471%1000000200000000.19405.3787%26.524969.3872%1.7402%
PrimeNet2580.017062.0690%100001900000.00192.9195%0.018963.1763%1.1074%
GPU722620.271464.5161%120001900000.00211.7068%0.273565.1218%0.6056%
Difference+6+26.0595+3.1309%+988000+19810000+0.1920+3.6719%+26.2514+4.2655%+4.2655%

Known prime factors (1 factor, 84.3 bits, 0.00372475% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2263687240889381747100725758323992684.3175320730775657162977
37 × 53 × 1479341 × 1834110077
2020-03-03147934118341100773,445,3849.66017.793

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2010-11-07T01:16:00Jocelyn LaroucheManual testing1500015000---0.001--0.200%
2010-11-12T22:13:00Jocelyn LaroucheManual testing3000030000---0.003--0.357%
2011-01-04T07:41:00markrtiny1000002100000---0.020--2.412%
2014-09-02T00:10:00Jocelyn LaroucheManual testing128354128354---0.012--0.933%
2016-03-29T23:26:44Jocelyn LaroucheManual testing34214434214406---0.049--3.292%
2019-06-30T07:47:49BigBrotherWinston10000002000000012---0.194--5.379%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-02-23T16:29:10Mark RoseManual testing21260--0.068--
2009-01-11T16:34:00Sturle Sundegooch.ifi260261--0.068--
2012-05-05T16:48:00Sebastian HornbostelManual testing261262--0.136--
2013-12-06T02:46:00Jerry HallettManual testing262263--0.434--
2015-03-10T10:44:00VictordeHollanderManual testing263264--0.867--
2015-03-10T10:44:00VictordeHollanderManual testing264265--1.651--
2015-10-30T09:42:37ramgeisManual testing265266--3.301--
2017-01-16T00:47:36Gordon SpenceManual testing266267--6.602--
2019-05-06T12:23:30TJAOIManual testing267268--13.20--


ECM factoring results:

Old Calculation Method

Total ECM effort:3.781 GHz-days
Estimated T-Level:2.200
DigitsB1CurvesCompleteFacMiss
201100044 / 1000.44064.261%
255000044 / 2800.15785.434%

New Calculation Method

Total ECM effort:3.781 GHz-days
Estimated T-Level:2.200
DigitsB1CompleteFacMiss
20110001.41924.187%
25500000.12887.961%
302500000.00899.213%


ECM Summary

B1B2factorcurvesGHz-days
500005000000423.609
50000500000020.172


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-05-23T00:00:00ANONYMOUSv4_computersD6AE1DFA592C60C60.149


PRP results:
dateuseridcompidcofactorsres64PRP
2020-03-04T12:39:26Christoph ZengerManual testing
24088938174710072575832399
FC5A980DD06EE8D1no
2020-03-05T20:08:10fre_gamesgpu
24088938174710072575832399
FC5A980DD06EE8D1no


P-1 factor-bounds graph:
B1 = 1000000, B2 = 20000000 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 342144, B2 = 3421440 (P-1 stage 2)
B1 = 342144 (P-1 stage 1)
B1 = 100000, B2 = 2100000 (P-1 stage 2)
B1 = 128354 (P-1 stage 1)
B1 = 100000 (P-1 stage 1)
B1 = 30000 (P-1 stage 1)
B1 = 15000 (P-1 stage 1)
103
104
105
106
107
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
268
267
266
265
264
263
262
261
260
250
260
270
280
290
2100
Last modified: 2020-03-05T20:08:10+00:00