is 2 1034849 - 1
has 311521 decimal digits
takes 0.031 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LE8192230F6D1FCD6double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26728.713370.1493%1000000011100000003.005411.7914%31.718773.6691%3.5198%
PrimeNet2560.009364.2857%4500600000.00031.9529%0.009664.9832%0.6975%
GPU722600.148466.6667%4500180000.00020.6155%0.148666.8718%0.2052%
Difference+7+28.5649+3.4826%+9995500+1109982000+3.0052+11.1759%+31.5700+6.7973%+6.7973%

Known prime factors (1 factor, 62.8 bits, 0.00606797% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
103484979976635774756707531962.7943864169351024
24 × 17 × 23 × 617674129
2009-10-24236176741291.00101.44632.7012

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2002-01-22T00:00:00Jocelyn Larouchev4_computers100010000---6.40496e-5--0.036%
2002-01-28T00:00:00Jocelyn Larouchev4_computers100010000---6.40496e-5--0.036%
2002-05-11T00:00:00Jocelyn Larouchev4_computers50005000---0.000--0.063%
2016-03-17T18:59:25alpertronManual testing3000001000000012---0.036--4.082%
2021-07-17T20:28:35ViliamF3100000001110000000-
skipped known factor: 7997663577475670753
--3.005--11.791%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-11-10T00:00:00ANONYMOUSv4_computers21257--0.019--
2003-02-02T00:00:00ANONYMOUSv4_computers21258--0.037--
2022-03-07T17:30:27LordJuliusManual testing258260--0.111--
2009-02-26T18:53:00Sturle Sundedanzi.ifi260261--0.148--


ECM factoring results:

Old Calculation Method

Total ECM effort:17.458 GHz-days
Estimated T-Level:25.344
DigitsB1CurvesCompleteFacMiss
2011000324 / 1003.2403.853%
2550000324 / 2801.15731.373%
3025000044 / 6400.06993.351%

New Calculation Method

Total ECM effort:17.458 GHz-days
Estimated T-Level:25.344
DigitsB1CompleteFacMiss
201100014.7690.000%
25500001.61619.866%
302500000.13187.697%
3510000000.00999.130%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000002809.78
25000025000000447.681


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2002-02-10T00:00:00ANONYMOUSv4_computersE8192230F6D1FCD60.031


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-28T18:54:33Oliver KruseGTX-1
7997663577475670753
55985259DFC769__no
2017-10-15T20:23:35Oliver KruseThreadripper
7997663577475670753
55985259DFC769__no
2017-12-28T05:52:37ATHec2-1xf
7997663577475670753
55985259DFC769__no


P-1 factor-bounds graph:
B1 = 10000000, B2 = 1110000000 (P-1 stage 2)
B1 = 10000000 (P-1 stage 1)
B1 = 300000, B2 = 10000000 (P-1 stage 2)
B1 = 300000 (P-1 stage 1)
B1 = 5000 (P-1 stage 1)
B1 = 1000, B2 = 10000 (P-1 stage 2)
B1 = 1000 (P-1 stage 1)
100
101
102
103
104
105
106
107
100
101
102
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
267
261
260
258
257
250
260
270
280
290
2100
Last modified: 2022-03-07T17:30:27+00:00