is 2 2253037 - 1
has 678232 decimal digits
takes 0.148 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LC2D72B07D2C36C5Bdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26826.455367.6471%58905058905000.08373.9637%26.539068.9294%1.2824%
PrimeNet2580.017062.0690%100001900000.00192.9169%0.018963.1754%1.1064%
GPU722620.272764.5161%120001900000.00211.7052%0.274765.1212%0.6051%
Difference+6+26.1827+3.1309%+577050+5700500+0.0816+2.2585%+26.2643+3.8082%+3.8082%

Known prime factors (1 factor, 68.5 bits, 0.00303837% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
22530374047440649633418517212168.45689821885961780
22 × 5 × 7 × 103 × 6228979609
2020-06-01103622897960936.90832.35560.430

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-04-03T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.228%
2010-11-06T12:26:00Jocelyn LaroucheManual testing1500015000---0.001--0.200%
2010-11-14T20:17:00Jocelyn LaroucheManual testing2000020000---0.002--0.257%
2010-11-23T10:46:00Oscar Östlin7501175011---0.007--0.676%
2011-01-14T21:29:00Oscar Östlin850001636250---0.016--2.195%
2014-06-01T23:28:00Jocelyn LaroucheManual testing113488113488---0.011--0.869%
2014-10-03T21:04:00Jocelyn LaroucheManual testing141976141976---0.014--0.987%
2016-01-19T00:49:58Jocelyn LaroucheManual testing58905058905006---0.084--3.964%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1997-11-11T00:00:00DLv4_computers21258--0.017--
2016-02-23T16:29:10Mark RoseManual testing258260--0.051--
2009-01-11T11:47:00Sturle Sundegonsha.ifi260261--0.068--
2012-05-04T12:48:00Sebastian HornbostelManual testing261262--0.136--
2013-01-23T08:24:00dbaughManual testing262263--0.436--
2015-03-10T10:44:00VictordeHollanderManual testing263264--0.871--
2015-03-10T10:44:00VictordeHollanderManual testing264265--1.658--
2015-10-27T09:37:31ramgeisManual testing265266--3.317--
2017-01-05T21:20:49Gordon SpenceManual testing266267--6.633--
2019-05-20T13:24:27TJAOIManual testing267268--13.27--


ECM factoring results:

Old Calculation Method

Total ECM effort:6.183 GHz-days
Estimated T-Level:3.600
DigitsB1CurvesCompleteFacMiss
201100072 / 1000.72048.499%
255000072 / 2800.25777.290%

New Calculation Method

Total ECM effort:6.183 GHz-days
Estimated T-Level:3.600
DigitsB1CompleteFacMiss
20110002.3239.802%
25500000.21081.066%
302500000.01398.716%


ECM Summary

B1B2factorcurvesGHz-days
500005000000695.926
50000500000030.258


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1997-11-11T00:00:00DLv4_computersC2D72B07D2C36C5B0.148
1999-03-01T00:00:00Ethan O'Connorv4_computersC2D72B07D2C36C5B0.148
2018-04-23T06:58:08kkmrkkblmbrbkoldC2D72B07D2C36C5B0.148


PRP results:
dateuseridcompidcofactorsres64PRP
2020-06-03T00:40:07Oliver KruseThreadripper-PC
404744064963341851721
E62864960B29B5DEno
2020-06-03T00:54:14ATHec2-PRPCFDC
404744064963341851721
E62864960B29B5DEno


P-1 factor-bounds graph:
B1 = 589050, B2 = 5890500 (P-1 stage 2)
B1 = 589050 (P-1 stage 1)
B1 = 85000, B2 = 1636250 (P-1 stage 2)
B1 = 141976 (P-1 stage 1)
B1 = 113488 (P-1 stage 1)
B1 = 85000 (P-1 stage 1)
B1 = 75011 (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)
101
102
103
104
105
106
101
102
103
104
105
106
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108
109
1010
TF factor-bounds graph:
268
267
266
265
264
263
262
261
260
258
250
260
270
280
290
2100
Last modified: 2020-06-03T00:54:14+00:00