is 2 231031 - 1
has 69548 decimal digits
takes 0.001 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L8550E03F7F9130FCdouble-checked
PRP6846B198BEF527B5PRP-tested

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual267128.614473.1343%13100000054076848926102,398.114324.3006%2,526.728779.6629%6.5285%
PrimeNet2400.000055.0000%2400600000.000013.5246%0.000061.0861%6.0861%
GPU722440.000059.0909%40001000000.00019.6741%0.000163.0485%3.9576%
Difference+23+128.6144+14.0434%+130996000+5407684792610+2,398.1142+14.6265%+2,526.7286+16.6143%+2.5709%

Known prime factors (1 factor, 130.5 bits, 0.05647290% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
231031188517879945268857633303299645164923949740130.4704079926069342834027323244491976508
22 × 293 × 2032931 × 4758749 × 5863511 × 61369346771
2022-06-055863511613693467718.160e+1127.24950.809

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-05-20T00:00:00ANONYMOUSv4_computers10000010000000---0.005--2.680%
2002-06-02T00:00:00ANONYMOUSv4_computers327683276800---0.002--1.531%
2002-08-03T00:00:00ANONYMOUSv4_computers655366553600---0.003--2.205%
2003-02-24T00:00:00ANONYMOUSv4_computers13107213107200---0.007--3.007%
2003-10-23T00:00:00ANONYMOUSv4_computers26214426214400---0.014--3.926%
2011-07-24T13:12:00Jocelyn LaroucheManual testing22207262220726---0.018--2.673%
2012-02-17T11:13:00Jocelyn LaroucheManual testing27759082775908---0.023--2.892%
2013-10-11T01:41:00David Campeaui5-2500k284500079660000---0.057--6.447%
2016-01-24T13:07:41Jocelyn LaroucheManual testing4163987541639875012---0.505--9.759%
2016-07-12T20:29:04Jocelyn LaroucheManual testing4163987583279750012---0.689--10.797%
2019-04-28T12:48:02Alexhome100000000200000000012---1.656--12.459%
2022-06-05T09:50:35Sid & AndyMagic_8_Ball131000000540768489261040130.4702,3980.0034,79624.301%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-11-17T00:00:00ANONYMOUSv4_computers252253--0.003--
2000-04-19T00:00:00ANONYMOUSv4_computers21254--0.010--
2022-03-07T05:44:27LordJuliusManual testing254255--0.010--
2001-02-11T00:00:00ANONYMOUSv4_computers21256--0.042--
2002-04-07T00:00:00ANONYMOUSv4_computers21257--0.083--
2016-02-23T16:28:04Mark RoseManual testing257258--0.083--
2008-12-31T09:20:00Sturle Sundeeberlin.ifi258259--0.166--
2009-01-26T16:49:00Sturle Sundegowin.ifi259260--0.332--
2013-07-19T00:39:00lycornasteroid260261--0.665--
2015-07-13T20:11:00snme2pm1Manual testing261262--1.330--
2016-01-10T01:11:08Gordon SpenceManual testing262263--4.249--
2016-01-10T01:11:08Gordon SpenceManual testing263264--8.498--
2016-03-26T10:03:41YxinityManual testing264265--16.17--
2019-12-20T21:52:59Gordon SpenceManual testing265266--32.35--


ECM factoring results:
Total ECM effort:18.791 GHz-days
Estimated T-Level:29.800
DigitsB1CompleteFacMiss
201100061.9760.000%
25500009.0470.012%
302500000.96038.286%
3510000000.07992.371%
4030000000.00599.469%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002311.378
2500002500000058417.41


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2016-06-01T06:38:42MadPooManual testing8550E03F7F9130FC0.001


PRP results:
dateuseridcompidcofactorsres64PRP
2022-06-09T18:56:38LordJuliusWhiteBox
1885178799452688576333032996451649239497
6846B198BEF527B5no


P-1 factor-bounds graph:
B1 = 131000000, B2 = 5407684892610 (P-1 stage 2)
B1 = 100000000, B2 = 2000000000 (P-1 stage 2)
B1 = 131000000 (P-1 stage 1)
B1 = 100000000 (P-1 stage 1)
B1 = 41639875, B2 = 832797500 (P-1 stage 2)
B1 = 41639875, B2 = 416398750 (P-1 stage 2)
B1 = 41639875 (P-1 stage 1)
B1 = 2845000, B2 = 79660000 (P-1 stage 2)
B1 = 2845000 (P-1 stage 1)
B1 = 2775908 (P-1 stage 1)
B1 = 2220726 (P-1 stage 1)
B1 = 262144, B2 = 26214400 (P-1 stage 2)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 100000, B2 = 10000000 (P-1 stage 2)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 262144 (P-1 stage 1)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 131072 (P-1 stage 1)
B1 = 100000 (P-1 stage 1)
B1 = 65536 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
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TF factor-bounds graph:
267
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264
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262
261
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258
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Last modified: 2022-06-09T18:56:38+00:00