is 2 2409689 - 1
has 725389 decimal digits
takes 0.163 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LBEC423D41DB88CDCdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26712.331067.1642%2000000600000000.50557.6184%12.836569.6657%2.5016%
PrimeNet2590.031962.7119%100001800000.00192.5204%0.033863.6517%0.9398%
GPU722630.662365.0794%100001400000.00171.2759%0.664065.5249%0.4456%
Difference+4+11.6687+2.0848%+1990000+59860000+0.5038+6.3425%+12.1725+4.1408%+4.1408%

Known prime factors (1 factor, 86.1 bits, 0.00357118% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2409689803431456104181352806827532686.05416670853709839347584
27 × 81817 × 208003 × 7653053
2014-03-07208003765305310,985,6070.06010.0763

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-10-08T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.288%
2010-11-09T10:51:00Jocelyn LaroucheManual testing1500015000---0.001--0.244%
2010-11-16T23:08:00Jocelyn LaroucheManual testing2000020000---0.002--0.311%
2010-12-21T10:22:00markrtiny950001923750---0.019--2.660%
2014-03-07T07:08:00mikrMSI2000000600000002686.0540.5050.3261.0117.618%
2018-09-28T16:26:34alpertronManual testing20000006000000012-
skipped known factor: 80343145610418135280682753
--0.505--7.618%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-03-15T00:00:00ANONYMOUSv4_computers21259--0.032--
2022-03-09T16:37:59LordJuliusManual testing21260--0.064--
2009-01-16T21:52:00Sturle Sundegicy.ifi260261--0.064--
2012-06-03T17:44:00Sebastian HornbostelManual testing261262--0.127--
2013-01-23T08:28:00dbaughManual testing262263--0.407--


ECM factoring results:

Old Calculation Method

Total ECM effort:1.069 GHz-days
Estimated T-Level:0.600
DigitsB1CurvesCompleteFacMiss
201100012 / 1000.12088.638%
255000012 / 2800.04395.797%

New Calculation Method

Total ECM effort:1.069 GHz-days
Estimated T-Level:0.600
DigitsB1CompleteFacMiss
20110000.38767.903%
25500000.03596.562%
302500000.00299.785%


ECM Summary

B1B2factorcurvesGHz-days
500005000000121.069


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-03-26T00:00:00ANONYMOUSv4_computersBEC423D41DB88CDC0.163


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-13T02:03:40Oliver KruseGTX-1380F2C5AC580A3__no
2017-11-26T15:40:16kkmrkkblmbrbkc4.xlarge
80343145610418135280682753
380F2C5AC580A3__no


P-1 factor-bounds graph:
B1 = 2000000, B2 = 60000000 (P-1 stage 2)
B1 = 2000000 (P-1 stage 1)
B1 = 95000, B2 = 1923750 (P-1 stage 2)
B1 = 95000 (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)
102
103
104
105
106
107
102
103
104
105
106
107
108
TF factor-bounds graph:
267
263
262
261
260
259
250
260
270
280
290
2100
Last modified: 2022-03-09T16:37:59+00:00