is 2 224863 - 1
has 67691 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-LB700E6ABD10BA211double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual267132.142373.1343%30000000100708329922204,464.407323.2752%4,596.549679.3874%6.2530%
PrimeNet2400.000055.0000%2400600000.000013.4710%0.000061.0619%6.0619%
GPU722440.000059.0909%40001000000.00019.6326%0.000163.0315%3.9406%
Difference+23+132.1423+14.0434%+29996000+10070832892220+4,464.4072+13.6426%+4,596.5495+16.3559%+16.3559%

Known prime factors (1 factor, 124.9 bits, 0.05555708% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2248634044549084278374898958901332253526761738124.92789933628126423086478409105372016
24 × 11 × 53 × 7433 × 735689 × 1763092838749271681
2015-11-1973568917630928387492716817.449e+11781,539,8761.460e+9

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-05-13T00:00:00ANONYMOUSv4_computers10000010000000---0.005--2.669%
2002-06-02T00:00:00ANONYMOUSv4_computers327683276800---0.002--1.523%
2002-08-03T00:00:00ANONYMOUSv4_computers655366553600---0.003--2.195%
2003-02-24T00:00:00ANONYMOUSv4_computers13107213107200---0.007--2.996%
2003-10-23T00:00:00ANONYMOUSv4_computers26214426214400---0.014--3.912%
2011-02-11T22:33:00Jocelyn LaroucheManual testing40000004000000---0.033--3.258%
2013-10-20T21:27:00David Campeaui5-2500k4040000145440000---0.096--7.302%
2021-06-12T03:02:05Oliver KruseOllaptop300000003000000000---1.561--12.468%
2022-03-13T19:01:24Oliver KruseThreadripper-PC3000000010070832992220---4,464--23.275%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-11-17T00:00:00ANONYMOUSv4_computers252253--0.003--
2000-04-19T00:00:00ANONYMOUSv4_computers21254--0.011--
2022-03-07T05:44:10LordJuliusManual testing254255--0.011--
2001-02-11T00:00:00ANONYMOUSv4_computers21256--0.043--
2002-04-07T00:00:00ANONYMOUSv4_computers21257--0.085--
2022-03-07T05:44:10LordJuliusManual testing257258--0.085--
2008-12-31T20:51:00Sturle Sundedanzi.ifi258259--0.171--
2009-01-25T03:20:00Sturle Sundegobi.ifi259260--0.342--
2013-07-22T20:22:00lycornasteroid260261--0.683--
2015-07-05T20:07:00snme2pm1Manual testing261262--1.366--


ECM factoring results:

Old Calculation Method

Total ECM effort:11.839 GHz-days
Estimated T-Level:27.625
DigitsB1CurvesCompleteFacMiss
2011000612 / 1006.1200.213%
2550000612 / 2802.18611.196%
30250000336 / 6400.52559.131%

New Calculation Method

Total ECM effort:11.839 GHz-days
Estimated T-Level:27.625
DigitsB1CompleteFacMiss
201100036.9030.000%
25500004.8820.758%
302500000.49061.263%
3510000000.03996.183%
4030000000.00399.746%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002761.645
250000250000003008.938
2500002500000010.030
25000038057914140.489
25000038500000210.738


Lucas-Lehmer results:
No L-L results for M224863


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-22T04:26:56Oliver KruseDoppelherz
40445490842783748989589013322535267617
5A35159EB1CDD1__no
2017-09-22T10:02:43Oliver KruseManual testing
40445490842783748989589013322535267617
5A35159EB1CDD1__no
2017-09-30T15:30:19alpertronManual testing
40445490842783748989589013322535267617
5A35159EB1CDD1__no
2017-12-07T04:42:16ATHxps
40445490842783748989589013322535267617
5A35159EB1CDD1__no
2020-04-17T19:18:13Oliver KruseAddPrpType5
40445490842783748989589013322535267617
132A42414140D0__no


P-1 factor-bounds graph:
B1 = 30000000, B2 = 10070832992220 (P-1 stage 2)
B1 = 30000000, B2 = 3000000000 (P-1 stage 2)
B1 = 30000000 (P-1 stage 1)
B1 = 4040000, B2 = 145440000 (P-1 stage 2)
B1 = 4040000 (P-1 stage 1)
B1 = 4000000 (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:
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Last modified: 2022-05-11T10:36:10+00:00