is 2 210359 - 1
has 63325 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-LAE99B017FD7D79__double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual267141.253473.1343%30000000100708329922203,668.770323.1899%3,810.023779.3644%6.2301%
PrimeNet2400.000055.0000%2200550000.000012.9794%0.000060.8407%5.8407%
GPU722440.000059.0909%4000900000.00019.3216%0.000162.9043%3.8134%
Difference+23+141.2534+14.0434%+29996000+10070832902220+3,668.7703+13.8683%+3,810.0236+16.4602%+16.4602%

Known prime factors (1 factor, 66.1 bits, 0.03141035% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
210359776977518628509612972066.075184678934257272
23 × 3 × 7 × 13 × 17 × 4974114799
2007-08-21174974114799125.751.81203.3842

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-05-06T00:00:00ANONYMOUSv4_computers10000010000000---0.004--2.642%
2002-06-02T00:00:00ANONYMOUSv4_computers327683276800---0.001--1.505%
2002-07-27T00:00:00ANONYMOUSv4_computers655366553600---0.003--2.172%
2003-02-16T00:00:00ANONYMOUSv4_computers13107213107200---0.006--2.967%
2003-10-14T00:00:00ANONYMOUSv4_computers26214426214400---0.011--3.878%
2021-05-17T06:57:22Oliver KruseOllaptop300000003000000000---1.282--12.406%
2022-02-17T17:38:55Oliver KruseThreadripper-PC3000000010070832992220-
skipped known factor: 77697751862850961297
--3,669--23.190%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-11-27T12:36:40fbaurubuntu1500000001410000000027--6.505
2021-11-29T01:19:22fbaurubuntu1500000001425000000065--6.558


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-11-17T00:00:00ANONYMOUSv4_computers252253--0.003--
2000-04-12T00:00:00ANONYMOUSv4_computers21254--0.011--
2022-03-07T05:09:17LordJuliusManual testing254255--0.011--
2001-02-04T00:00:00ANONYMOUSv4_computers21256--0.046--
2001-02-11T00:00:00ANONYMOUSv4_computers21256--0.046--
2002-03-24T00:00:00ANONYMOUSv4_computers21257--0.091--


ECM factoring results:

Old Calculation Method

Total ECM effort:10.237 GHz-days
Estimated T-Level:27.820
DigitsB1CurvesCompleteFacMiss
2011000638 / 1006.3800.164%
2550000638 / 2802.27910.201%
30250000361 / 6400.56456.864%

New Calculation Method

Total ECM effort:10.237 GHz-days
Estimated T-Level:27.820
DigitsB1CompleteFacMiss
201100043.5990.000%
25500006.0880.227%
302500000.62653.472%
3510000000.05195.058%
4030000000.00399.665%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000002771.354
250000250000003478.480
25000038500000140.403


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2002-12-25T00:00:00ANONYMOUSv4_computersAE99B017FD7D79__0.001


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-22T03:04:50Oliver KruseDoppelherz
77697751862850961297
456561C7B0FDB2__no
2017-09-22T10:02:32Oliver KruseManual testing
77697751862850961297
456561C7B0FDB2__no
2017-09-22T10:03:29Oliver KruseManual testing
77697751862850961297
456561C7B0FDB2__no
2017-11-06T16:31:57kkmrkkblmbrbkc4.xlarge
77697751862850961297
456561C7B0FDB2__no
2020-04-17T19:10:41Oliver KruseAddPrpType5
77697751862850961297
C84BCDAD72EC90__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: 2022-03-07T05:09:17+00:00