is 2 2151629 - 1
has 647705 decimal digits
takes 0.141 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L51D5EDADAC4583DEdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26713.810067.1642%25000001250000000.87468.5862%14.684669.9835%2.8194%
PrimeNet2580.017862.0690%90001700000.00172.7341%0.019563.1060%1.0371%
GPU722620.285564.5161%100001600000.00171.5180%0.287365.0548%0.5387%
Difference+5+13.5244+2.6481%+2490000+124840000+0.8729+7.0682%+14.3973+4.9288%+4.9288%

Known prime factors (1 factor, 91.3 bits, 0.00424206% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
215162929925012401981755489460034792891.273695403631434177441591
3 × 19 × 1495867 × 1729727 × 4715107
2017-12-0817297274715107332,507,6900.18040.3356

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-03-07T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.279%
2010-11-03T21:25:00Jocelyn LaroucheManual testing2000020000---0.002--0.303%
2010-12-30T22:20:00Jocelyn LaroucheManual testing3000030000---0.003--0.417%
2011-01-15T02:57:00Jocelyn LaroucheManual testing5000050000---0.005--0.599%
2011-01-23T18:21:00James Heinrichi7-9201350002666250---0.026--3.006%
2016-05-02T01:23:02Jocelyn LaroucheManual testing270000995545312---0.076--4.414%
2017-10-04T07:45:20Jocelyn Larouchelow 4M54000054000006---0.077--4.233%
2017-11-17T22:14:08Jocelyn Larouchelow 4M6480001095099812---0.115--5.005%
2017-12-08T23:13:31mikrMSI2500000125000000122891.2730.8750.2831.7498.586%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-01-29T00:00:00ANONYMOUSv4_computers21258--0.018--
2016-02-23T16:29:07Mark RoseManual testing258260--0.054--
2009-01-04T17:51:00Sturle Sunderodolfo.ifi260261--0.071--
2009-01-07T20:00:00Sturle Sundeklughardt.ifi261262--0.143--
2013-09-08T17:50:00ramgeisManual testing262263--0.456--
2015-03-18T15:42:00VictordeHollanderManual testing263264--0.912--
2015-03-18T15:42:00VictordeHollanderManual testing264265--1.737--
2015-12-30T18:01:32ramgeisManual testing265266--3.473--
2016-11-04T03:09:02Gordon SpenceManual testing266267--6.946--


ECM factoring results:

Old Calculation Method

Total ECM effort:2.749 GHz-days
Estimated T-Level:2.000
DigitsB1CurvesCompleteFacMiss
201100040 / 1000.40066.897%
255000030 / 2800.10789.823%

New Calculation Method

Total ECM effort:2.749 GHz-days
Estimated T-Level:2.000
DigitsB1CompleteFacMiss
20110000.97037.910%
25500000.08791.624%
302500000.00599.463%


ECM Summary

B1B2factorcurvesGHz-days
110001100000100.188
500005000000302.561


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-07-26T00:00:00ANONYMOUSv4_computers51D5EDADAC4583DE0.141


PRP results:
dateuseridcompidcofactorsres64PRP
2017-12-09T07:46:32YarBerManual testing
2992501240198175548946003479
9804C0E38DCC45__no
2017-12-09T09:49:37YarBerManual testing
2992501240198175548946003479
9804C0E38DCC45__no
2017-12-12T04:51:46treborDesktop
2992501240198175548946003479
9804C0E38DCC45__no
2017-12-12T07:25:57kkmrkkblmbrbkc4.xlarge
2992501240198175548946003479
9804C0E38DCC45__no


P-1 factor-bounds graph:
B1 = 2500000, B2 = 125000000 (P-1 stage 2)
B1 = 2500000 (P-1 stage 1)
B1 = 648000, B2 = 10950998 (P-1 stage 2)
B1 = 540000, B2 = 5400000 (P-1 stage 2)
B1 = 270000, B2 = 9955453 (P-1 stage 2)
B1 = 648000 (P-1 stage 1)
B1 = 540000 (P-1 stage 1)
B1 = 135000, B2 = 2666250 (P-1 stage 2)
B1 = 270000 (P-1 stage 1)
B1 = 135000 (P-1 stage 1)
B1 = 50000 (P-1 stage 1)
B1 = 30000 (P-1 stage 1)
B1 = 20000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
102
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105
106
107
102
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104
105
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108
109
TF factor-bounds graph:
267
266
265
264
263
262
261
260
258
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260
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2100
Last modified: 2017-12-12T07:25:57+00:00