is 2 2478023 - 1
has 745960 decimal digits
takes 0.172 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L853C54489EECD0E2double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26711.991067.1642%2382500857701000.69658.1949%12.687569.8550%2.6909%
PrimeNet2590.031062.7119%100001800000.00192.5337%0.032963.6566%0.9448%
GPU722630.644165.0794%110001600000.00191.3796%0.646065.5611%0.4818%
Difference+4+11.3469+2.0848%+2371500+85610100+0.6946+6.8153%+12.0415+4.2939%+4.2939%

Known prime factors (1 factor, 97.0 bits, 0.00391634% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
24780231637952722978558149275250499033097.04833049586766921819314737
112 × 397 × 1747 × 2221 × 9437 × 18789479
2014-10-249437187894791.440e+100.10390.1923

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-10-14T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.290%
2003-10-31T00:00:00Team Prime Ribv4_computers15000228750---0.003--0.918%
2010-11-20T12:24:00Jocelyn LaroucheManual testing2000020000---0.002--0.313%
2011-01-20T23:10:00Oscar Östlin950001947500---0.020--2.679%
2014-09-02T00:10:00Jocelyn LaroucheManual testing120901120901---0.012--1.053%
2014-10-24T19:46:00mikrMSI238250085770100123097.0480.6970.3441.3938.195%
2019-07-04T12:37:38alpertronManual testing20000006000000012-
skipped known factor: 163795272297855814927525049903
--0.519--7.640%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-08-16T00:00:00ANONYMOUSv4_computers21259--0.031--
2022-03-10T05:53:00LordJuliusManual testing21260--0.062--
2009-01-14T21:36:00Sturle Sundehindemith.ifi260261--0.062--
2012-06-08T23:43:00Sebastian HornbostelManual testing261262--0.124--
2013-01-23T08:29:00dbaughManual testing262263--0.396--


ECM factoring results:

Old Calculation Method

Total ECM effort:1.102 GHz-days
Estimated T-Level:0.600
DigitsB1CurvesCompleteFacMiss
201100012 / 1000.12088.638%
255000012 / 2800.04395.797%

New Calculation Method

Total ECM effort:1.102 GHz-days
Estimated T-Level:0.600
DigitsB1CompleteFacMiss
20110000.38767.903%
25500000.03596.562%
302500000.00299.785%


ECM Summary

B1B2factorcurvesGHz-days
500005000000121.102


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-10-21T00:00:00MadPoov4_computers853C54489EECD0E20.172


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-14T02:44:28Oliver KruseGTX-1C9C4D6C3F76995__no
2017-11-29T21:54:51kkmrkkblmbrbkold
163795272297855814927525049903
C9C4D6C3F76995__no


P-1 factor-bounds graph:
B1 = 2382500, B2 = 85770100 (P-1 stage 2)
B1 = 2000000, B2 = 60000000 (P-1 stage 2)
B1 = 2382500 (P-1 stage 1)
B1 = 2000000 (P-1 stage 1)
B1 = 95000, B2 = 1947500 (P-1 stage 2)
B1 = 120901 (P-1 stage 1)
B1 = 95000 (P-1 stage 1)
B1 = 15000, B2 = 228750 (P-1 stage 2)
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: 2022-03-10T05:53:00+00:00