is 2 7486873 - 1
has 2253774 decimal digits
takes 1.633 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L9336A0FA2D3CCF23double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual272127.734768.0556%310000012118216110209.679911.4867%337.414671.7249%
Target2673.968865.6716%5000055000000.10972.4367%4.078566.5081%
Difference+5+123.7659+2.3839%+3050000+12112716110+209.5702+9.0501%+333.3361+5.2168%

Known prime factors (1 factor, 126.2 bits, 0.00168621% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
748687310076127749667938057128145332592342733739126.2446729196387909837696678002506916
22 × 3 × 29 × 271 × 439 × 6192 × 751 × 241363 × 2340228251		2023-04-2538316123402282512.267e+1040.42875.295

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2009-06-25Carsten Kossendeyleela40000640000---0.023--1.022%
2012-09-08NesowaEPC900001687500---0.056--1.654%
2019-10-10harleei5-5250U_16004400001364000012---0.367--3.557%
2023-04-25DRobinsonPE5600X31000001211821611039126.244209.73.265419.411.487%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-07-21ANONYMOUSv4_computers21261--0.041--
1998-10-11ANONYMOUSv4_computers21262--0.082--
1999-03-15ANONYMOUSv4_computers21263--0.213--
2013-10-24NesowaManual testing263264--0.262--
2014-01-17lycornManual testing264265--0.499--
2015-06-26VictordeHollanderManual testing265266--0.998--
2016-05-27america64Manual testing266267--1.996--
2016-06-23america64Manual testing267268--3.992--
2018-04-13YxinityManual testing268269--7.985--
2018-04-13YxinityManual testing269270--15.97--
2021-08-16SRBaseManual testing270271--31.94--
2021-09-30SRBaseManual testing271272--63.88--


ECM factoring results:
Total ECM effort:1.989 GHz-days
Estimated T-Level:1.154
DigitsB1CompleteFacMiss
20110000.23179.392%
25500000.02197.887%
302500000.00199.865%


ECM Summary

B1B2factorcurvesGHz-days
50000500000061.989


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1997-01-01Paul Victor Novaresepinky9336A0FA2D3CCF231.633
1999-06-15ANONYMOUSv4_computers9336A0FA2D3CCF231.633


PRP results:
dateuseridcompidcofactorsres64PRP
2023-04-28Naegi Makoto12500H
100761277496679380571281453325923427337
28D5CC255CA04DE0no


P-1 factor-bounds graph:
B1 = 3100000, B2 = 12118216110 (P-1 stage 2)
B1 = 3100000 (P-1 stage 1)
B1 = 440000, B2 = 13640000 (P-1 stage 2)
B1 = 440000 (P-1 stage 1)
B1 = 90000, B2 = 1687500 (P-1 stage 2)
B1 = 90000 (P-1 stage 1)
B1 = 40000, B2 = 640000 (P-1 stage 2)
B1 = 40000 (P-1 stage 1)
103
104
105
106
107
103
104
105
106
107
108
109
1010
1011
TF factor-bounds graph:
272
271
270
269
268
267
266
265
264
263
262
261
this exponent TF target: 67
TF double-checked to: 67.9
ECM T-Level=1.15 ~= -13-bit
250
260
270
280
290
2100
2110
2120
2130
Last modified: 2023-09-25T11:53:03+00:00