is 2 1030889 - 1
has 310329 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-LB0665341BEDA6C91double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26728.823670.1493%1000000010000000002.747811.6425%31.571473.6246%3.4754%
PrimeNet2560.009364.2857%4500600000.00031.9513%0.009664.9826%0.6969%
GPU722600.149066.6667%4500180000.00020.6149%0.149266.8716%0.2050%
Difference+7+28.6746+3.4826%+9995500+999982000+2.7476+11.0276%+31.4222+6.7530%+6.7530%

Known prime factors (1 factor, 80.1 bits, 0.00777155% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
103088913101476305850092897241112580.116635445538067148495
3 × 5 × 89 × 983197 × 484123901
2009-10-19983197484123901367,8621.17352.1172

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2002-01-22T00:00:00Jocelyn Larouchev4_computers10000120000---0.001--0.524%
2002-11-09T00:00:00Jocelyn Larouchev4_computers1100011000---0.000--0.148%
2002-11-09T00:00:00Jocelyn Larouchev4_computers1500015000---0.001--0.198%
2002-11-16T00:00:00Jocelyn Larouchev4_computers2000020000---0.001--0.255%
2016-03-17T18:59:21alpertronManual testing3000001000000012---0.036--4.080%
2021-07-23T18:44:46ViliamF3100000001000000000-
skipped known factor: 1310147630585009289724111
--2.748--11.643%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-11-10T00:00:00ANONYMOUSv4_computers21257--0.019--
2003-02-02T00:00:00ANONYMOUSv4_computers21258--0.037--
2022-03-07T17:30:26LordJuliusManual testing258260--0.112--
2009-02-15T03:03:00Sturle Sundedanzi.ifi260261--0.149--


ECM factoring results:

Old Calculation Method

Total ECM effort:17.414 GHz-days
Estimated T-Level:25.344
DigitsB1CurvesCompleteFacMiss
2011000323 / 1003.2303.892%
2550000323 / 2801.15431.486%
3025000044 / 6400.06993.351%

New Calculation Method

Total ECM effort:17.414 GHz-days
Estimated T-Level:25.344
DigitsB1CompleteFacMiss
201100014.7310.000%
25500001.61319.937%
302500000.13187.717%
3510000000.00999.131%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000002799.74
25000025000000447.678


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2002-02-03T00:00:00ANONYMOUSv4_computersB0665341BEDA6C910.031


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-28T18:32:24Oliver KruseGTX-2
1310147630585009289724111
0E474D8C8C239B__no
2017-10-15T19:46:16Oliver KruseGTX-0
1310147630585009289724111
0E474D8C8C239B__no
2017-12-27T19:24:41ATHec2-1xf
1310147630585009289724111
0E474D8C8C239B__no


P-1 factor-bounds graph:
B1 = 10000000, B2 = 1000000000 (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 = 20000 (P-1 stage 1)
B1 = 10000, B2 = 120000 (P-1 stage 2)
B1 = 15000 (P-1 stage 1)
B1 = 11000 (P-1 stage 1)
B1 = 10000 (P-1 stage 1)
103
104
105
106
107
103
104
105
106
107
108
109
TF factor-bounds graph:
267
261
260
258
257
250
260
270
280
290
2100
Last modified: 2022-03-07T17:30:26+00:00