is 2 2411219 - 1
has 725850 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-L9A947151EE84C850double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26712.323267.1642%2000000600000000.50557.6189%12.828669.6659%2.5017%
PrimeNet2590.031862.7119%100001800000.00192.5207%0.033763.6518%0.9399%
GPU722630.661965.0794%100001400000.00171.2761%0.663665.5250%0.4456%
Difference+4+11.6613+2.0848%+1990000+59860000+0.5038+6.3428%+12.1651+4.1409%+4.1409%

Known prime factors (1 factor, 85.8 bits, 0.00355698% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2411219658127227920723182248215832685.76713647188992802461789
72 × 11 × 22147 × 51511 × 22194203
2014-03-1251511221942034,170,4470.12320.2212

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%
2010-11-16T23:09:00Jocelyn LaroucheManual testing2000020000---0.002--0.311%
2010-12-20T23:20:00markrtiny950001923750---0.019--2.660%
2014-03-12T05:30:00mikrMSI2000000600000002685.7670.5050.3261.0117.619%
2018-09-28T16:25:40alpertronManual testing20000006000000012-
skipped known factor: 65812722792072318224821583
--0.505--7.619%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-03-26T00:00:00ANONYMOUSv4_computers21259--0.032--
2022-03-09T16:37:59LordJuliusManual testing21260--0.064--
2009-01-14T21:42:00Sturle Sundegibus.ifi260261--0.064--
2012-06-03T21:44:00Sebastian 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:
dateuseridcompidres64spent (GHz-days)
1999-07-12T00:00:00ANONYMOUSv4_computers9A947151EE84C8500.163


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-13T02:47:46Oliver KruseGTX-230F034198542B2__no
2017-11-26T17:20:12kkmrkkblmbrbkc4.xlarge
65812722792072318224821583
30F034198542B2__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