is 2 2409469 - 1
has 725323 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-L5DFE8EC532EECEFBdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26712.332167.1642%2000000600000000.50557.6183%12.837669.6657%2.5015%
PrimeNet2590.031962.7119%100001800000.00192.5203%0.033863.6517%0.9398%
GPU722630.662465.0794%100001400000.00171.2759%0.664165.5249%0.4455%
Difference+4+11.6698+2.0848%+1990000+59860000+0.5038+6.3425%+12.1735+4.1408%+4.1408%

Known prime factors (1 factor, 97.9 bits, 0.00406285% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
24094692942858593478491554059078922313097.89361068612907625944846335
3 × 5 × 11 × 751 × 39929 × 1044569 × 11815949
2014-03-071044569118159491.475e+100.15980.2082

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%
2010-12-21T11:32:00markrtiny950001923750---0.019--2.660%
2014-03-07T00:44:00mikrMSI2000000600000003097.8930.5050.3261.0117.618%
2018-09-28T16:26:33alpertronManual testing20000006000000012-
skipped known factor: 294285859347849155405907892231
--0.505--7.618%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-07-30T00:00:00ANONYMOUSv4_computers21259--0.032--
2022-03-09T16:37:59LordJuliusManual testing21260--0.064--
2009-01-16T20:22:00Sturle Sundegicy.ifi260261--0.064--
2012-06-03T17:43:00Sebastian HornbostelManual testing261262--0.127--
2013-12-04T21:14:00Jerry HallettManual 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:
No L-L results for M2409469


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-14T01:25:15kkmrkkblmbrbkc4.xlargeAAD53B6CA31C83__no
2017-11-03T16:50:15Oliver KruseGTX-2
294285859347849155405907892231
AAD53B6CA31C83__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