is 2 538723 - 1
has 162172 decimal digits
takes 0.008 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LDBC58E61B5D59E35double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual268110.641070.5882%100000002500000000.48808.4946%111.129073.0867%2.4984%
PrimeNet2400.000050.0000%50001800000.000319.4311%0.000359.7155%9.7155%
GPU722440.000054.5455%90003000000.000514.6543%0.000561.2065%6.6610%
Difference+24+110.6410+16.0428%+9991000+249700000+0.4874-6.1596%+111.1285+11.8802%+11.8802%

Known prime factors:
No known factors for M538723

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-12-22T00:00:00ANONYMOUSv4_computers2000200000---0.000--0.145%
2002-01-22T00:00:00ANONYMOUSv4_computers4096409600---0.001--0.324%
2002-03-03T00:00:00ANONYMOUSv4_computers8192819200---0.001--0.605%
2002-04-28T00:00:00ANONYMOUSv4_computers163841638400---0.002--1.011%
2002-05-11T00:00:00ANONYMOUSv4_computers500001000000---0.002--1.336%
2002-06-23T00:00:00ANONYMOUSv4_computers327683276800---0.004--1.553%
2002-09-07T00:00:00ANONYMOUSv4_computers655366553600---0.009--2.230%
2003-05-04T00:00:00ANONYMOUSv4_computers13107213107200---0.018--3.035%
2011-06-12T13:03:00Jocelyn LaroucheManual testing400000400000---0.008--1.323%
2011-06-26T19:18:00Jocelyn LaroucheManual testing444521444521---0.009--1.392%
2011-07-26T07:33:00Jocelyn LaroucheManual testing740869740869---0.016--1.752%
2012-06-19T02:41:00Jocelyn LaroucheManual testing22226072222607---0.047--2.693%
2015-01-16T23:21:00thelegendarymudkipi5-4670k10000000250000000---0.488--8.495%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2000-03-22T00:00:00ANONYMOUSv4_computers253254--0.002--
2022-03-07T08:26:48LordJuliusManual testing254255--0.004--
2001-04-01T00:00:00ANONYMOUSv4_computers21256--0.018--
2002-01-02T00:00:00ANONYMOUSv4_computers21257--0.036--
2003-12-23T00:00:00ANONYMOUSv4_computers21258--0.071--
2016-02-23T16:28:13Mark RoseManual testing258260--0.214--
2016-02-23T16:28:13Mark RoseManual testing260261--0.285--
2015-07-09T21:36:00NRManual testing261262--0.570--
2015-09-03T14:28:00Gordon SpenceManual testing262263--1.822--
2015-09-03T14:28:00Gordon SpenceManual testing263264--3.644--
2017-11-27T23:22:09BloodERazorManual testing264265--6.936--
2018-05-24T04:17:55chuenkitManual testing265266--13.87--
2020-09-17T08:52:21YxinityManual testing266267--27.74--
2022-05-07T16:07:47Gordon SpenceManual testing267268--55.48--


ECM factoring results:

Old Calculation Method

Total ECM effort:79.935 GHz-days
DigitsB1CurvesCompleteFacMiss
20110001215 / 10012.1500.000%
25500001215 / 2804.3391.294%
30250000935 / 6401.46123.175%

New Calculation Method

Total ECM effort:79.935 GHz-days
DigitsB1CompleteFacMiss
201100086.9490.000%
255000012.0810.001%
302500001.26628.192%
3510000000.10390.171%
4030000000.00799.316%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002804.517
2500002500000093575.42


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2015-04-11T07:44:00MadPooManual testingDBC58E61B5D59E350.008


PRP results:
No PRP results for M538723


P-1 factor-bounds graph:
B1 = 10000000, B2 = 250000000 (P-1 stage 2)
B1 = 10000000 (P-1 stage 1)
B1 = 2222607 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 740869 (P-1 stage 1)
B1 = 444521 (P-1 stage 1)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 400000 (P-1 stage 1)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 131072 (P-1 stage 1)
B1 = 16384, B2 = 1638400 (P-1 stage 2)
B1 = 50000, B2 = 1000000 (P-1 stage 2)
B1 = 65536 (P-1 stage 1)
B1 = 8192, B2 = 819200 (P-1 stage 2)
B1 = 50000 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
B1 = 4096, B2 = 409600 (P-1 stage 2)
B1 = 16384 (P-1 stage 1)
B1 = 2000, B2 = 200000 (P-1 stage 2)
B1 = 8192 (P-1 stage 1)
B1 = 4096 (P-1 stage 1)
B1 = 2000 (P-1 stage 1)
102
103
104
105
106
107
102
103
104
105
106
107
108
109
TF factor-bounds graph:
268
267
266
265
264
263
262
261
260
258
257
256
255
254
250
260
270
280
290
2100
Last modified: 2022-05-07T16:07:47+00:00