is 2 2044909 - 1
has 615579 decimal digits
takes 0.134 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L7D580FD206C8CEA7double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26714.530768.6567%500000150000000.12305.1368%14.653770.2667%1.6100%
PrimeNet2580.018863.7931%90001600000.00162.6644%0.020464.7578%0.9647%
GPU722620.300466.1290%90001200000.00141.3296%0.301966.5794%0.4504%
Difference+5+14.2302+2.5277%+491000+14880000+0.1216+3.8071%+14.3518+3.6874%+3.6874%

Known prime factors (1 factor, 72.1 bits, 0.00352365% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
204490949074427449314313037992272.0551199917146663111
3 × 300869 × 1329390473
2015-07-093008691329390473727.976.932312.897

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2002-04-28T00:00:00Jocelyn Larouchev4_computers10001000---9.53375e-5--0.007%
2002-05-05T00:00:00Jocelyn Larouchev4_computers20002000---0.000--0.022%
2003-01-09T00:00:00ANONYMOUSv4_computers25000418750---0.004--1.255%
2010-12-28T23:08:00Jocelyn LaroucheManual testing3000030000---0.003--0.412%
2011-01-04T22:09:00Jocelyn LaroucheManual testing5000050000---0.005--0.593%
2012-01-04T12:15:00Squeeky_SquirrelP4_26001350002868750---0.027--3.034%
2014-10-22T23:53:00Jocelyn LaroucheManual testing166387166387---0.016--1.209%
2016-03-17T19:19:54alpertronManual testing5000001500000012---0.123--5.137%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-01-10T00:00:00ANONYMOUSv4_computers21258--0.019--
2022-03-09T08:13:21LordJuliusManual testing21260--0.075--
2009-01-03T01:50:00Sturle Sundegolan.ifi260261--0.075--
2012-02-28T09:47:00Sebastian HornbostelManual testing261262--0.150--
2013-08-30T08:22:00ramgeisManual testing262263--0.480--
2015-04-13T20:09:00VictordeHollanderManual testing263264--0.960--
2015-04-13T20:09:00VictordeHollanderManual testing264265--1.827--


ECM factoring results:

Old Calculation Method

Total ECM effort:2.560 GHz-days
Estimated T-Level:1.250
DigitsB1CurvesCompleteFacMiss
201100025 / 1000.25077.782%
255000025 / 2800.08991.444%

New Calculation Method

Total ECM effort:2.560 GHz-days
Estimated T-Level:1.250
DigitsB1CompleteFacMiss
20110000.85742.464%
25500000.07792.615%
302500000.00599.531%


ECM Summary

B1B2factorcurvesGHz-days
500005000070.355
500005000000151.272
50000500000030.254
50000675000070.678


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-02-07T00:00:00ANONYMOUSv4_computers7D580FD206C8CEA70.134


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-06T06:56:59Oliver KruseGTX-2
4907442744931431303799
776FCFD32C28FB__no
2017-11-15T06:49:42Chang Chia-Tcheexbpc13
4907442744931431303799
776FCFD32C28FB__no


P-1 factor-bounds graph:
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
B1 = 135000, B2 = 2868750 (P-1 stage 2)
B1 = 166387 (P-1 stage 1)
B1 = 135000 (P-1 stage 1)
B1 = 50000 (P-1 stage 1)
B1 = 25000, B2 = 418750 (P-1 stage 2)
B1 = 30000 (P-1 stage 1)
B1 = 25000 (P-1 stage 1)
B1 = 2000 (P-1 stage 1)
B1 = 1000 (P-1 stage 1)
102
103
104
105
106
102
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
267
265
264
263
262
261
260
258
250
260
270
280
290
2100
Last modified: 2022-03-09T08:13:21+00:00