is 2 2016967 - 1
has 607168 decimal digits
takes 0.133 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L54907FF3E1737E7Bdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26714.732068.6567%640000140800000.13085.2101%14.862870.2897%1.6330%
PrimeNet2580.019063.7931%90001500000.00162.6112%0.020664.7385%0.9454%
GPU722620.304666.1290%80001200000.00131.2729%0.305966.5602%0.4311%
Difference+5+14.4274+2.5277%+632000+13960000+0.1295+3.9371%+14.5569+3.7295%+3.7295%

Known prime factors (1 factor, 70.9 bits, 0.00351334% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
201696721472445623926583806712270.863532295412466505
5 × 113 × 431 × 2185883467
2017-12-124312185883467217.1411.35421.206

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2002-04-28T00:00:00Jocelyn Larouchev4_computers20002000---0.000--0.022%
2002-05-05T00:00:00Jocelyn Larouchev4_computers30003000---0.000--0.040%
2003-02-02T00:00:00ANONYMOUSv4_computers30000547500---0.006--1.426%
2010-12-07T03:13:00Jocelyn LaroucheManual testing201696201696---0.019--1.331%
2013-10-16T12:22:00David Campeaui5-2500k64000014080000---0.131--5.210%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-01-02T00:00:00kbutlerv4_computers21258--0.019--
2016-02-23T16:29:03Mark RoseManual testing258260--0.057--
2009-01-02T22:06:00Sturle Sundedoak.ifi260261--0.076--
2012-02-03T20:47:00Sebastian HornbostelManual testing261262--0.152--
2013-06-06T07:18:00David CampeauManual testing262263--0.487--
2015-03-15T12:12:00VictordeHollanderManual testing263264--0.973--
2015-03-15T12:12:00VictordeHollanderManual testing264265--1.852--
2015-10-28T09:42:37ramgeisManual testing265266--3.705--
2016-07-16T16:15:45Gordon SpenceManual testing266267--7.410--


ECM factoring results:

Old Calculation Method

Total ECM effort:4.657 GHz-days
Estimated T-Level:2.750
DigitsB1CurvesCompleteFacMiss
201100055 / 1000.55057.535%
255000055 / 2800.19682.137%

New Calculation Method

Total ECM effort:4.657 GHz-days
Estimated T-Level:2.750
DigitsB1CompleteFacMiss
20110002.11512.059%
25500000.19682.223%
302500000.01298.773%


ECM Summary

B1B2factorcurvesGHz-days
500005000000332.794
500005000000221.863


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-01-17T00:00:00kbutlerv4_computers54907FF3E1737E7B0.133
2016-07-15T12:04:08Mark Rosedonatello54907FF3E1737E7B0.133


PRP results:
dateuseridcompidcofactorsres64PRP
2017-12-16T12:30:52Oliver KruseGTX-2
2147244562392658380671
7F6530D4C7C6A0__no
2017-12-16T20:01:26kkmrkkblmbrbkc4.xlarge
2147244562392658380671
7F6530D4C7C6A0__no
2017-12-25T15:33:57YarBerManual testing
2147244562392658380671
7F6530D4C7C6A0__no


P-1 factor-bounds graph:
B1 = 640000, B2 = 14080000 (P-1 stage 2)
B1 = 640000 (P-1 stage 1)
B1 = 201696 (P-1 stage 1)
B1 = 30000, B2 = 547500 (P-1 stage 2)
B1 = 30000 (P-1 stage 1)
B1 = 3000 (P-1 stage 1)
B1 = 2000 (P-1 stage 1)
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101
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1010
TF factor-bounds graph:
267
266
265
264
263
262
261
260
258
250
260
270
280
290
2100
Last modified: 2017-12-25T15:33:57+00:00