is 2 203449 - 1
has 61245 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-L5B1F4D67D5E2B857double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual267146.050973.1343%30000000102640764025803,739.164623.1707%3,885.215579.3593%6.2250%
PrimeNet2400.000055.0000%2200500000.000012.6774%0.000060.7048%5.7048%
GPU722440.000059.0909%3600800000.00018.8906%0.000162.7280%3.6371%
Difference+23+146.0509+14.0434%+29996400+10264076322580+3,739.1645+14.2802%+3,885.2155+16.6313%+16.6313%

Known prime factors (3 factors, 247.0 bits, 0.12141071% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
203449444060902362362691132065.267109133223157244
22 × 11 × 13 × 2423 × 78742199
2009-02-1624237874219946.7040.02870.0536
2034495297027830862326004912172478.8101301807290982586792
23 × 3 × 23 × 79 × 29852487868799
2014-12-127929852487868799547,86210,87520,311
203449967405316579891372104875231376131102.93223775130784125047852407120
24 × 5 × 7 × 109 × 76481 × 134291 × 37923457393
2022-02-06134291379234573937.840e+1113.81625.802

4 Composite Factors:
exponentprime factorscomposite factordigitsbits*
2034492352202958411273183341133560648695520488052144144.077
20344942958687783061371168826757908132046867652500916399
3
51168.199
20344951243728856478637781935405605628445369470317739087
37137
55181.741
20344922755336476420147929147152240989831402708323496405
1902659630528198309149481
75247.009
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-04-29T00:00:00ANONYMOUSv4_computers10000010000000---0.004--2.628%
2002-06-02T00:00:00ANONYMOUSv4_computers327683276800---0.001--1.496%
2002-07-27T00:00:00ANONYMOUSv4_computers655366553600---0.003--2.160%
2003-02-16T00:00:00ANONYMOUSv4_computers13107213107200---0.006--2.952%
2003-10-14T00:00:00ANONYMOUSv4_computers26214426214400---0.011--3.861%
2021-05-04T20:38:55Oliver KruseOllaptop300000003000000000-
skipped known factor: 44406090236236269113
--1.282--12.375%
2022-02-06T14:01:41Oliver KruseThreadripper-PC300000001026407640258031102.9323,7390.0027,47823.171%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-11-17T00:00:00ANONYMOUSv4_computers252253--0.003--
2000-04-12T00:00:00ANONYMOUSv4_computers21254--0.012--
2022-03-07T04:57:47LordJuliusManual testing254255--0.012--
2001-02-04T00:00:00ANONYMOUSv4_computers21256--0.047--
2002-03-16T00:00:00ANONYMOUSv4_computers21257--0.094--
2022-03-07T04:57:47LordJuliusManual testing257258--0.094--
2008-12-30T21:41:00Sturle Sundewright.ifi258259--0.189--
2009-01-28T05:41:00Sturle Sundegorilla.ifi259260--0.377--


ECM factoring results:

Old Calculation Method

Total ECM effort:11.709 GHz-days
Estimated T-Level:28.313
DigitsB1CurvesCompleteFacMiss
2011000653 / 1006.5300.141%
2550000653 / 2802.3329.668%
30250000424 / 6400.66351.529%

New Calculation Method

Total ECM effort:11.709 GHz-days
Estimated T-Level:28.313
DigitsB1CompleteFacMiss
201100047.8620.000%
25500006.8590.105%
302500000.72048.669%
3510000000.05994.260%
4030000000.00499.606%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
10.00000e+0
5000050000002291.118
250000250000003618.814
2500002900000070.180
25000036000000140.391
2500003725000070.199
25000038500000351.007


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2002-12-16T00:00:00ANONYMOUSv4_computers5B1F4D67D5E2B8570.001


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-22T02:27:57Oliver KruseOllaptop8B22297C3FE71C__?
2017-09-22T10:02:52Oliver KruseManual testing8B22297C3FE71C__?
2017-10-12T07:29:57kkmrkkblmbrbkc4.xlarge8B22297C3FE71C__no
2020-04-17T19:09:15Oliver KruseAddPrpType5
44406090236236269113
529702783086232600491217
B742B6C1890C76__no
2022-02-06T14:18:51Oliver KruseIOS-6
44406090236236269113
529702783086232600491217
9674053165798913721048752313761
B742B6C1890C7604no


P-1 factor-bounds graph:
B1 = 30000000, B2 = 10264076402580 (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: 2022-07-24T21:14:15+00:00