is 2 163753 - 1
has 49295 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-LD552BAE9D7AA6826double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual267181.455773.1343%10000000020000000000.975512.1536%182.431276.3995%3.2652%
PrimeNet2400.000055.0000%1800400000.000011.3944%0.000060.1275%5.1275%
GPU722440.000059.0909%3000600000.00007.7817%0.000062.2743%3.1834%
Difference+23+181.4557+14.0434%+99997000+1999940000+0.9754+4.3719%+182.4311+14.1251%+14.1251%

Known prime factors (1 factor, 90.8 bits, 0.05543111% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
16375321111789201961402606940671132890.7706446229749061514172852
22 × 7 × 13 × 127 × 367 × 3375287 × 112570321
2009-01-1533752871125703212.914e+90.04470.0549

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-04-29T00:00:00ANONYMOUSv4_computers10000010000000---0.003--2.543%
2002-06-02T00:00:00ANONYMOUSv4_computers327683276800---0.001--1.438%
2002-07-27T00:00:00ANONYMOUSv4_computers655366553600---0.002--2.085%
2003-02-09T00:00:00ANONYMOUSv4_computers13107213107200---0.004--2.860%
2003-10-08T00:00:00ANONYMOUSv4_computers26214426214400---0.008--3.752%
2017-04-30T06:46:11kkmrkkblmbrbkManual testing100000000200000000012-
skipped known factor: 2111178920196140260694067113
--0.975--12.154%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-11-10T00:00:00ANONYMOUSv4_computers252253--0.004--
2000-04-19T00:00:00ANONYMOUSv4_computers21254--0.015--
2022-03-07T03:54:30LordJuliusManual testing254255--0.015--
2001-01-14T00:00:00ANONYMOUSv4_computers21256--0.059--
2002-06-23T00:00:00ANONYMOUSv4_computers21257--0.117--
2022-03-07T03:54:30LordJuliusManual testing257258--0.117--
2008-12-30T12:38:00Sturle Sundegraun.ifi258259--0.234--


ECM factoring results:

Old Calculation Method

Total ECM effort:11.348 GHz-days
Estimated T-Level:29.586
DigitsB1CurvesCompleteFacMiss
2011000866 / 1008.6600.017%
2550000866 / 2803.0934.512%
30250000587 / 6400.91739.935%
3510000003 / 15660.00299.809%

New Calculation Method

Total ECM effort:11.348 GHz-days
Estimated T-Level:29.586
DigitsB1CompleteFacMiss
201100064.3220.000%
25500009.3180.009%
302500000.98637.294%
3510000000.08292.147%
4030000000.00699.447%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000002790.972
2500002500000058410.17
100000010000000030.209


Lucas-Lehmer results:
No L-L results for M163753


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-21T23:48:18Oliver KruseOllaptop
2111178920196140260694067113
E7ED27FE5C6D61__no
2017-09-22T10:03:40Oliver KruseManual testing
2111178920196140260694067113
E7ED27FE5C6D61__no
2017-10-12T00:08:32kkmrkkblmbrbkc4.xlargeE7ED27FE5C6D61__no
2020-04-17T17:52:06Oliver KruseAddPrpType5
2111178920196140260694067113
203C1D40F6402A__no


P-1 factor-bounds graph:
B1 = 100000000, B2 = 2000000000 (P-1 stage 2)
B1 = 100000000 (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)
103
104
105
106
107
108
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
267
259
258
257
256
255
254
253
250
260
270
280
290
2100
Last modified: 2022-03-07T03:54:30+00:00