is 2 248401 - 1
has 74777 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-L2528E6760E6121E4double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual267119.620873.1343%12000000049441688696402,192.563324.1739%2,312.184179.6288%
Target2440.000059.0909%45001100000.000110.1502%0.000163.2433%
Difference+23+119.6208+14.0434%+119995500+4944168759640+2,192.5632+14.0237%+2,312.1840+16.3856%

Known prime factors:
No known factors for M248401

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2000-11-25ANONYMOUSv4_computers1000004000000---0.003--2.242%
2001-06-09ANONYMOUSv4_computers10000010000000---0.005--2.709%
2002-06-02ANONYMOUSv4_computers327683276800---0.002--1.551%
2002-08-10ANONYMOUSv4_computers655366553600---0.003--2.231%
2003-03-07ANONYMOUSv4_computers13107213107200---0.007--3.039%
2003-11-08ANONYMOUSv4_computers26214426214400---0.014--3.964%
2011-02-07Jocelyn LaroucheManual testing20000002000000---0.016--2.599%
2011-07-24Jocelyn LaroucheManual testing20215012021501---0.016--2.609%
2012-02-26Jocelyn LaroucheManual testing25268772526877---0.021--2.825%
2013-10-21David Campeaui5-2500k263500089590000---0.060--6.580%
2016-01-07Jocelyn LaroucheManual testing3225240032252400012---0.391--9.362%
2016-06-27Jocelyn LaroucheManual testing3225240064504800012---0.534--10.380%
2022-06-11Sid & AndyMagic_8_Ball1200000004944168869640---2,193--24.174%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2023-02-05masserManual testing300000009600000008467--0.775
2023-02-05masserManual testing3000000099000000027--0.788
2023-02-11masserManual testing3000000099000000065--0.788


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-11-24ANONYMOUSv4_computers252253--0.002--
2000-04-27ANONYMOUSv4_computers21254--0.010--
2022-03-07LordJuliusManual testing254255--0.010--
2001-02-18ANONYMOUSv4_computers21256--0.039--
2002-04-14ANONYMOUSv4_computers21257--0.077--
2016-02-23Mark RoseManual testing257258--0.077--
2009-01-01Sturle Sundegimo.ifi258259--0.155--
2009-01-26Sturle Sundekinner.ifi259260--0.309--
2010-06-01Architects Cubeda3_bu2260261--0.618--
2015-08-09snme2pm1Manual testing261262--1.237--
2016-01-26Gordon SpenceManual testing262263--3.952--
2016-01-26Gordon SpenceManual testing263264--7.904--
2018-03-12Gordon SpenceManual testing264265--15.04--
2019-12-31Gordon SpenceManual testing265266--30.08--


ECM factoring results:
Total ECM effort:19.169 GHz-days
Estimated T-Level:29.863
DigitsB1CompleteFacMiss
201100064.1290.000%
25500009.2470.010%
302500000.97337.807%
3510000000.08092.317%
4030000000.00599.467%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002871.715
2500002500000058417.45


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1997-01-01Ken Kiefer2528E6760E6121E40.001
2016-06-01MadPooManual testing2528E6760E6121E40.001


PRP results:
No PRP results for M248401


P-1 factor-bounds graph:
B1 = 120000000, B2 = 4944168869640 (P-1 stage 2)
B1 = 120000000 (P-1 stage 1)
B1 = 32252400, B2 = 645048000 (P-1 stage 2)
B1 = 32252400, B2 = 322524000 (P-1 stage 2)
B1 = 32252400 (P-1 stage 1)
B1 = 2635000, B2 = 89590000 (P-1 stage 2)
B1 = 2635000 (P-1 stage 1)
B1 = 2526877 (P-1 stage 1)
B1 = 2021501 (P-1 stage 1)
B1 = 2000000 (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 = 100000, B2 = 4000000 (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)
103
104
105
106
107
108
109
103
104
105
106
107
108
109
1010
1011
1012
1013
TF factor-bounds graph:
266
265
264
263
262
261
260
259
258
257
256
255
254
253
this exponent TF target: 44
TF double-checked to: 67.8
ECM T-Level=29.86 ~= 83-bit
250
260
270
280
290
Last modified: 2023-04-26T21:34:10+00:00