is 2 2378653 - 1
has 716046 decimal digits
takes 0.161 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LDB9C0D71E6A3A74Ddouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26712.491967.1642%30000001000000000.81158.4990%13.303569.9549%2.7907%
PrimeNet2590.032362.7119%100001700000.00182.4755%0.034163.6349%0.9231%
GPU722630.671065.0794%100001400000.00171.2725%0.672665.5237%0.4444%
Difference+4+11.8209+2.0848%+2990000+99860000+0.8099+7.2265%+12.6308+4.4312%+4.4312%

Known prime factors (1 factor, 74.8 bits, 0.00314508% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2378653331317944375316292928812374.8116964402634081480
23 × 5 × 7 × 19 × 79 × 16570863791
2017-03-1879165708637912,242.188.437165.18

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-09-21T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.287%
2010-11-07T17:07:00Jocelyn LaroucheManual testing1500015000---0.001--0.243%
2010-11-15T22:51:00Jocelyn LaroucheManual testing2000020000---0.002--0.310%
2010-12-28T04:38:00markrtiny1000002050000---0.020--2.721%
2014-09-10T00:51:00Jocelyn LaroucheManual testing126983126983---0.012--1.074%
2015-10-12T05:54:05mikrMSI300000010000000012---0.812--8.499%
2018-09-28T16:24:46alpertronManual testing20000006000000012---0.505--7.608%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-03-01T00:00:00ANONYMOUSv4_computers21259--0.032--
1999-03-15T00:00:00ANONYMOUSv4_computers21259--0.032--
2016-02-23T16:29:13Mark RoseManual testing259260--0.032--
2009-01-15T00:31:00Sturle Sundegoober.ifi260261--0.065--
2012-05-31T20:05:00Sebastian HornbostelManual testing261262--0.129--
2013-01-23T08:27:00dbaughManual testing262263--0.413--
2015-03-09T12:35:00VictordeHollanderManual testing263264--0.825--
2015-03-09T12:35:00VictordeHollanderManual testing264265--1.571--
2015-11-01T21:51:03ramgeisManual testing265266--3.142--


ECM factoring results:

Old Calculation Method

Total ECM effort:2.400 GHz-days
Estimated T-Level:1.350
DigitsB1CurvesCompleteFacMiss
201100027 / 1000.27076.234%
255000027 / 2800.09690.792%

New Calculation Method

Total ECM effort:2.400 GHz-days
Estimated T-Level:1.350
DigitsB1CompleteFacMiss
20110000.87141.855%
25500000.07992.430%
302500000.00599.516%


ECM Summary

B1B2factorcurvesGHz-days
500005000000242.134
50000500000030.267


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-03-15T00:00:00ANONYMOUSv4_computersDB9C0D71E6A3A74D0.161


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-12T14:47:50Oliver KruseGTX-2FCC48DDA10CAF4__no
2017-11-25T11:47:21kkmrkkblmbrbkc4.xlarge
33131794437531629292881
FCC48DDA10CAF4__no


P-1 factor-bounds graph:
B1 = 3000000, B2 = 100000000 (P-1 stage 2)
B1 = 2000000, B2 = 60000000 (P-1 stage 2)
B1 = 3000000 (P-1 stage 1)
B1 = 2000000 (P-1 stage 1)
B1 = 100000, B2 = 2050000 (P-1 stage 2)
B1 = 126983 (P-1 stage 1)
B1 = 100000 (P-1 stage 1)
B1 = 20000 (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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100
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TF factor-bounds graph:
267
266
265
264
263
262
261
260
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2100
Last modified: 2018-09-28T16:24:46+00:00