is 2 225697 - 1
has 67942 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-LCACC8368B56D8CBEdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual267131.654073.1343%30000000100708329922204,464.407323.2799%4,596.061379.3886%6.2543%
PrimeNet2400.000055.0000%2400600000.000013.4783%0.000061.0652%6.0652%
GPU722440.000059.0909%40001000000.00019.6382%0.000163.0338%3.9429%
Difference+23+131.6540+14.0434%+29996000+10070832892220+4,464.4072+13.6417%+4,596.0612+16.3548%+16.3548%

Known prime factors (1 factor, 89.8 bits, 0.03977158% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
22569710506010230851586566119115032889.7632327458989453024755783
7 × 13 × 29137 × 877800474021749
2011-02-1229137877800474021749832,388,985389,109726,748

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-05-13T00:00:00ANONYMOUSv4_computers10000010000000---0.005--2.670%
2002-06-02T00:00:00ANONYMOUSv4_computers327683276800---0.002--1.524%
2002-08-03T00:00:00ANONYMOUSv4_computers655366553600---0.003--2.197%
2003-02-24T00:00:00ANONYMOUSv4_computers13107213107200---0.007--2.997%
2003-10-23T00:00:00ANONYMOUSv4_computers26214426214400---0.014--3.914%
2021-06-14T00:16:15Oliver KruseOllaptop300000003000000000---1.561--12.472%
2022-03-15T05:07:37Oliver KruseThreadripper-PC3000000010070832992220---4,464--23.280%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-11-17T00:00:00ANONYMOUSv4_computers252253--0.003--
2000-04-19T00:00:00ANONYMOUSv4_computers21254--0.011--
2022-03-07T05:44:13LordJuliusManual testing254255--0.011--
2001-02-11T00:00:00ANONYMOUSv4_computers21256--0.043--
2002-04-07T00:00:00ANONYMOUSv4_computers21257--0.085--
2022-03-07T05:44:13LordJuliusManual testing257258--0.085--
2009-01-01T17:33:00Sturle Sundedanzi.ifi258259--0.170--
2009-01-27T00:54:00Sturle Sundegobi.ifi259260--0.340--


ECM factoring results:

Old Calculation Method

Total ECM effort:12.329 GHz-days
Estimated T-Level:27.734
DigitsB1CurvesCompleteFacMiss
2011000630 / 1006.3000.178%
2550000630 / 2802.25010.498%
30250000350 / 6400.54757.851%

New Calculation Method

Total ECM effort:12.329 GHz-days
Estimated T-Level:27.734
DigitsB1CompleteFacMiss
201100043.0330.000%
25500005.9850.252%
302500000.61554.074%
3510000000.05095.152%
4030000000.00399.671%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000002801.669
250000250000003018.969
2500003300000070.231
2500003621419070.240
2500003625000070.240
2500003817106170.245
2500003828435770.245
25000038500000140.492


Lucas-Lehmer results:
No L-L results for M225697


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-22T04:27:07Oliver KruseOllaptop
1050601023085158656611911503
4C8746E0FEEC17__no
2017-09-22T10:04:29Oliver KruseManual testing
1050601023085158656611911503
4C8746E0FEEC17__no
2017-10-12T12:37:56kkmrkkblmbrbkc4.xlarge4C8746E0FEEC17__no
2020-04-17T19:17:43Oliver KruseAddPrpType5
1050601023085158656611911503
1DE779C76E336D__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 = 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: 2022-07-15T19:36:41+00:00