is 2 117563 - 1
has 35390 decimal digits
takes 0.000 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
-unknown- primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual267252.748974.6269%10000000020000000000.770511.8636%253.519477.6370%3.0102%
PrimeNet2400.000057.5000%1300240000.00009.0988%0.000061.3670%3.8670%
GPU722440.000061.3636%1800300000.00005.5200%0.000063.4963%2.1327%
Difference+23+252.7489+13.2632%+99998200+1999970000+0.7705+6.3436%+253.5194+14.1407%+14.1407%

Known prime factors (1 factor, 60.5 bits, 0.05148983% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
11756316681846732547811131960.5337094854134612
22 × 33 × 65693093839
2008-01-1027656930938391.462513.55125.310

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-02-18T00:00:00ANONYMOUSv4_computers100000025000000---0.009--4.369%
2002-06-02T00:00:00ANONYMOUSv4_computers327683276800---0.001--1.353%
2002-07-20T00:00:00ANONYMOUSv4_computers655366553600---0.002--1.975%
2003-02-09T00:00:00ANONYMOUSv4_computers13107213107200---0.003--2.724%
2003-09-29T00:00:00ANONYMOUSv4_computers26214426214400---0.006--3.590%
2017-02-22T05:28:14kkmrkkblmbrbkManual testing100000000200000000012---0.771--11.864%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-09-14T00:00:00ANONYMOUSv4_computers252253--0.005--
2000-04-12T00:00:00ANONYMOUSv4_computers21254--0.020--
2000-12-31T00:00:00ANONYMOUSv4_computers21256--0.082--
2002-05-18T00:00:00ANONYMOUSv4_computers21257--0.163--
2018-10-27T23:16:19J.R. AllenManual testing21257--0.163--


ECM factoring results:

Old Calculation Method

Total ECM effort:12.669 GHz-days
Estimated T-Level:30.230
DigitsB1CurvesCompleteFacMiss
2011000918 / 1009.1800.010%
2550000918 / 2803.2793.746%
30250000659 / 6401.03035.683%
35100000072 / 15660.04695.505%

New Calculation Method

Total ECM effort:12.669 GHz-days
Estimated T-Level:30.230
DigitsB1CompleteFacMiss
201100075.3250.000%
255000011.5890.001%
302500001.34226.128%
3510000000.12688.139%
4030000000.01098.997%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000002590.708
250000250000005878.024
1000000100000000723.937


Lucas-Lehmer results:
No L-L results for M117563


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-21T21:23:03Oliver KruseDoppelherz
1668184673254781113
4E56B9C98F8DB1__no
2017-09-22T10:00:46Oliver KruseManual testing
1668184673254781113
4E56B9C98F8DB1__no
2017-10-13T11:40:08kkmrkkblmbrbkManual testing
1668184673254781113
4E56B9C98F8DB1__no
2020-04-17T15:34:55Oliver KruseAddPrpType5
1668184673254781113
E5F5FD149A32E2__no


P-1 factor-bounds graph:
B1 = 100000000, B2 = 2000000000 (P-1 stage 2)
B1 = 100000000 (P-1 stage 1)
B1 = 1000000, B2 = 25000000 (P-1 stage 2)
B1 = 262144, B2 = 26214400 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (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 = 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: 2020-04-17T15:34:55+00:00