is 2 241727 - 1
has 72768 decimal digits
takes 0.001 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
Actual267122.923573.1343%30000000101202470268904,486.311423.3740%4,609.234979.4139%6.2796%
PrimeNet2400.000055.0000%2600650000.000013.9475%0.000061.2764%6.2764%
GPU722440.000059.0909%45001100000.000110.1076%0.000163.2258%4.1349%
Difference+23+122.9234+14.0434%+29995500+10120246916890+4,486.3113+13.2664%+4,609.2348+16.1881%+16.1881%

Known prime factors (2 factors, 168.7 bits, 0.06980438% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2417271915183459352887879132167.376396145953772828
22 × 7 × 139 × 101784674659
2008-01-10139101784674659123.6745.11984.270
241727325384146077638253981866986671931101.3606730405500371043656312017
13 × 79 × 811 × 8080717664214234961
2020-11-0981180807176642142349616.608e+113.582e+96.690e+9

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
24172762317033450355663502357641057921365850651076816744
7
51168.736
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2000-11-05T00:00:00ANONYMOUSv4_computers1000004000000---0.003--2.232%
2001-06-03T00:00:00ANONYMOUSv4_computers10000010000000---0.005--2.698%
2002-06-02T00:00:00ANONYMOUSv4_computers327683276800---0.002--1.543%
2002-08-03T00:00:00ANONYMOUSv4_computers655366553600---0.003--2.221%
2003-03-07T00:00:00ANONYMOUSv4_computers13107213107200---0.007--3.027%
2003-10-31T00:00:00ANONYMOUSv4_computers26214426214400---0.014--3.950%
2021-08-06T06:44:39Oliver KruseOllaptop30000000300000000024---1.561--12.536%
2022-04-08T11:52:10Oliver KruseThreadripper-PC3000000010120247026890-
skipped known factor: 191518345935288787913
--4,486--23.374%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-11-17T00:00:00ANONYMOUSv4_computers252253--0.002--
2000-04-19T00:00:00ANONYMOUSv4_computers21254--0.010--
2022-03-07T05:44:55LordJuliusManual testing254255--0.010--
2001-02-18T00:00:00ANONYMOUSv4_computers21256--0.040--
2002-04-07T00:00:00ANONYMOUSv4_computers21257--0.079--


ECM factoring results:

Old Calculation Method

Total ECM effort:21.132 GHz-days
Estimated T-Level:29.602
DigitsB1CurvesCompleteFacMiss
2011000869 / 1008.6900.016%
2550000869 / 2803.1044.464%
30250000589 / 6400.92039.811%

New Calculation Method

Total ECM effort:21.132 GHz-days
Estimated T-Level:29.602
DigitsB1CompleteFacMiss
201100058.1160.000%
25500008.3010.025%
302500000.86142.271%
3510000000.07093.233%
4030000000.00599.537%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000002801.672
250000250000002377.077
2500002500000020.060
2500003850000035012.32


Lucas-Lehmer results:
No L-L results for M241727


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-22T06:09:19Oliver KruseOllaptop
191518345935288787913
F2C7F068993886__no
2017-09-22T10:05:36Oliver KruseManual testing
191518345935288787913
F2C7F068993886__no
2017-10-12T16:46:27kkmrkkblmbrbkc4.xlargeF2C7F068993886__no
2020-04-17T20:09:33Oliver KruseAddPrpType5
191518345935288787913
B5611B91C4305B__no
2020-11-09T06:54:12mrhlanai
191518345935288787913
3253841460776382539818669866719
B5611B91C4305B10no


P-1 factor-bounds graph:
B1 = 30000000, B2 = 10120247026890 (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 = 100000, B2 = 4000000 (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: 2022-04-08T11:52:10+00:00