is 2 932563 - 1
has 280730 decimal digits
takes 0.023 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LFEB09B3E3E15A62Bdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26863.915170.5882%5000000012636914390102,422.579221.8857%2,486.494377.0252%6.4370%
PrimeNet2400.000050.0000%80003600000.001023.4041%0.001061.7021%11.7021%
GPU722440.000054.5455%150006000000.001618.0558%0.001762.7527%8.2072%
Difference+24+63.9151+16.0428%+49985000+1263690839010+2,422.5776+3.8298%+2,486.4927+14.2725%-1.7702%

Known prime factors (2 factors, 227.1 bits, 0.02434851% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
9325631904161345191348536705017813015332103.90910209290660209275602318652
22 × 3 × 72 × 449 × 617 × 15496399 × 4044417187
2022-08-171549639940444171871.915e+118.263314.471
9325631185050833965542652704692930739936375938123.1566353730707552962388089024177133
7 × 13 × 28631 × 1679801 × 38958053 × 37264544341
2022-08-1738958053372645443411.814e+1172.685133.34

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
93256322565279901239571242294035871246928035025597552148
2289973648493325127
69227.065
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2002-01-08T00:00:00ANONYMOUSv4_computers2000200000---0.000--0.171%
2002-02-24T00:00:00ANONYMOUSv4_computers4096409600---0.001--0.373%
2002-04-28T00:00:00ANONYMOUSv4_computers8192819200---0.002--0.685%
2002-05-25T00:00:00ANONYMOUSv4_computers163841638400---0.004--1.129%
2002-07-27T00:00:00ANONYMOUSv4_computers327683276800---0.007--1.713%
2002-12-31T00:00:00ANONYMOUSv4_computers655366553600---0.015--2.435%
2003-09-09T00:00:00ANONYMOUSv4_computers13107213107200---0.029--3.283%
2011-06-01T21:43:00Jocelyn LaroucheManual testing200000200000---0.007--1.019%
2011-07-14T16:35:00Jocelyn LaroucheManual testing218220218220---0.008--1.067%
2011-09-18T03:01:00Jocelyn LaroucheManual testing363701363701---0.013--1.380%
2012-01-09T00:59:00Jocelyn LaroucheManual testing727403727403---0.026--1.884%
2013-10-11T17:09:00David Campeaui5-2500k95500024830000---0.079--5.034%
2014-08-01T11:34:00alpertronManual testing10000000500000000---1.290--9.852%
2022-08-17T01:56:40axnManual testing50000000126369143901069227.0652,4230.0454,84521.886%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2000-06-28T00:00:00ANONYMOUSv4_computers21255--0.005--
2000-06-29T00:00:00ANONYMOUSv4_computers21255--0.005--
2000-12-07T00:00:00ANONYMOUSv4_computers21256--0.010--
2001-10-20T00:00:00ANONYMOUSv4_computers21257--0.021--
2003-08-25T00:00:00ANONYMOUSv4_computers21258--0.041--
2016-02-23T16:28:17Mark RoseManual testing258260--0.124--
2010-06-04T20:40:00Architects Cubeda3_bu2260261--0.165--
2014-08-14T08:30:00lycornManual testing261262--0.329--
2015-09-19T11:37:00Gordon SpenceManual testing262263--1.053--
2015-09-19T11:37:00Gordon SpenceManual testing263264--2.105--
2015-12-30T07:51:49lycornManual testing264265--4.007--
2018-01-04T05:37:46Smok_bmvManual testing265266--8.013--
2018-01-04T05:37:46Smok_bmvManual testing266267--16.03--
2018-01-05T04:27:05Smok_bmvManual testing267268--32.05--


ECM factoring results:
Total ECM effort:14.496 GHz-days
Estimated T-Level:25.690
DigitsB1CompleteFacMiss
201100013.0200.000%
25500001.55221.193%
302500000.13887.118%
3510000000.01099.004%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002005.641
25000025000000415.782
25000050000000163.074


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2001-12-01T00:00:00ANONYMOUSv4_computersFEB09B3E3E15A62B0.023
2015-04-11T21:29:00MadPooManual testingFEB09B3E3E15A62B0.023


PRP results:
dateuseridcompidcofactorsres64PRP
2022-08-18T19:43:47LordJuliusManual testing
19041613451913485367050178130153
11850508339655426527046929307399363759
2301EE236E4C40D9no
2022-08-18T23:36:35Wentao HuangBiolake
19041613451913485367050178130153
11850508339655426527046929307399363759
2301EE236E4C40D9no


P-1 factor-bounds graph:
B1 = 50000000, B2 = 1263691439010 (P-1 stage 2)
B1 = 50000000 (P-1 stage 1)
B1 = 10000000, B2 = 500000000 (P-1 stage 2)
B1 = 10000000 (P-1 stage 1)
B1 = 955000, B2 = 24830000 (P-1 stage 2)
B1 = 955000 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 727403 (P-1 stage 1)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 363701 (P-1 stage 1)
B1 = 218220 (P-1 stage 1)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 200000 (P-1 stage 1)
B1 = 131072 (P-1 stage 1)
B1 = 16384, B2 = 1638400 (P-1 stage 2)
B1 = 65536 (P-1 stage 1)
B1 = 8192, B2 = 819200 (P-1 stage 2)
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
108
102
103
104
105
106
107
108
109
1010
1011
1012
1013
TF factor-bounds graph:
268
267
266
265
264
263
262
261
260
258
257
256
255
250
260
270
280
290
2100
2110
2120
2130
Last modified: 2022-08-18T23:36:35+00:00