is 2 2312179 - 1
has 696036 decimal digits
takes 0.156 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L44EBEA25E198F9CEdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26825.778767.6471%60000001800000001.51648.9629%27.295070.5468%2.8998%
PrimeNet2580.016662.0690%100001900000.00192.9308%0.018563.1807%1.1117%
GPU722620.265764.5161%130002000000.00231.7808%0.268065.1480%0.6319%
Difference+6+25.5130+3.1309%+5987000+179800000+1.5141+7.1820%+27.0270+5.3988%+5.3988%

Known prime factors (1 factor, 74.4 bits, 0.00321943% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2312179256064398719023222711932374.4395537296176442724
22 × 31 × 39113 × 1141707727
2020-07-303911311417077273,282.26.096811.380

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-09-14T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.230%
2010-02-15T08:09:00Budannan50000010000000---0.100--4.372%
2018-01-07T05:07:31Sid & AndyHand_In_The_Box600000018000000012---1.516--8.963%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-02-23T16:29:11Mark RoseManual testing21260--0.066--
2009-01-14T22:38:00Sturle Sundedietrich.ifi260261--0.066--
2012-05-23T13:44:00Sebastian HornbostelManual testing261262--0.133--
2013-01-23T08:26:00dbaughManual testing262263--0.425--
2015-03-03T21:35:00VictordeHollanderManual testing263264--0.849--
2015-03-03T21:35:00VictordeHollanderManual testing264265--1.616--
2015-10-22T10:17:25ramgeisManual testing265266--3.232--
2017-05-31T02:32:35Gordon SpenceManual testing266267--6.464--
2019-04-22T13:11:36TJAOIManual testing267268--12.93--


ECM factoring results:

Old Calculation Method

Total ECM effort:7.438 GHz-days
Estimated T-Level:4.200
DigitsB1CurvesCompleteFacMiss
201100084 / 1000.84042.989%
255000084 / 2800.30074.042%

New Calculation Method

Total ECM effort:7.438 GHz-days
Estimated T-Level:4.200
DigitsB1CompleteFacMiss
20110002.7106.656%
25500000.24578.278%
302500000.01598.503%


ECM Summary

B1B2factorcurvesGHz-days
500005000000817.173
50000500000030.266


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-03-15T00:00:00kbutlerv4_computers44EBEA25E198F9CE0.156
2018-05-03T19:58:26kkmrkkblmbrbkold44EBEA25E198F9CE0.156


PRP results:
dateuseridcompidcofactorsres64PRP
2020-07-31T06:10:51mnd9printer
25606439871902322271193
B37AE113F72A137Ano
2020-07-31T21:42:00marssystemsSYSTEM01
25606439871902322271193
B37AE113F72A137Ano


P-1 factor-bounds graph:
B1 = 6000000, B2 = 180000000 (P-1 stage 2)
B1 = 6000000 (P-1 stage 1)
B1 = 500000, B2 = 10000000 (P-1 stage 2)
B1 = 500000 (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
109
1010
TF factor-bounds graph:
268
267
266
265
264
263
262
261
260
250
260
270
280
290
2100
Last modified: 2020-08-23T19:40:02+00:00