is 2 1104331 - 1
has 332437 decimal digits
takes 0.033 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LCEDD5C68189B1AF5double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26726.906768.6567%50000002000000000.67159.0736%27.578271.5007%2.8440%
PrimeNet2560.008762.5000%4500650000.00032.0293%0.009063.2610%0.7610%
GPU722600.139165.0000%4500220000.00020.6844%0.139365.2395%0.2395%
Difference+7+26.7676+3.6567%+4995500+199978000+0.6712+8.3892%+27.4389+6.2611%+6.2611%

Known prime factors (1 factor, 85.4 bits, 0.00773703% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1104331525694062978866577440488332685.44223801471795089813536
25 × 32 × 23 × 2221 × 19457 × 83149387
2015-02-1919457831493877,242,8970.19550.3636

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2002-02-24T00:00:00Jocelyn Larouchev4_computers15000153750---0.001--0.683%
2012-09-25T03:20:00kurlysmile50000010000000---0.044--4.405%
2015-02-19T08:16:00mikrMSI5000000200000000122685.4420.6710.0651.3439.074%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-07-12T00:00:00ANONYMOUSv4_computers21256--0.009--
2001-12-01T00:00:00ANONYMOUSv4_computers21257--0.017--
2022-03-07T01:57:42firejugglerManual testing257260--0.122--
2022-03-07T17:30:51LordJuliusManual testing257260--0.122--
2009-02-17T03:56:00Sturle Sundegoomba.ifi260261--0.139--
2011-05-09T14:44:00XyzzyManual testing261262--0.278--
2012-10-07T08:33:00dbaughManual testing262263--0.889--
2014-12-22T09:46:00Matthias WurtingerManual testing263264--1.778--
2014-12-28T15:48:00Matthias WurtingerManual testing264265--3.383--


ECM factoring results:

Old Calculation Method

Total ECM effort:17.645 GHz-days
Estimated T-Level:25.344
DigitsB1CurvesCompleteFacMiss
2011000325 / 1003.2503.815%
2550000325 / 2801.16131.261%
3025000044 / 6400.06993.351%

New Calculation Method

Total ECM effort:17.645 GHz-days
Estimated T-Level:25.344
DigitsB1CompleteFacMiss
201100012.7310.000%
25500001.34925.941%
302500000.10889.793%
3510000000.00799.295%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002819.90
25000025000000447.748


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2002-04-20T00:00:00ANONYMOUSv4_computersCEDD5C68189B1AF50.033


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-29T02:08:53Oliver KruseGTX-2
52569406297886657744048833
0051C5620AD47F__no
2017-10-16T13:52:52Oliver KruseThreadripper
52569406297886657744048833
0051C5620AD47F__no
2018-01-01T16:38:40ATHec2-1xf
52569406297886657744048833
0051C5620AD47F__no


P-1 factor-bounds graph:
B1 = 5000000, B2 = 200000000 (P-1 stage 2)
B1 = 5000000 (P-1 stage 1)
B1 = 500000, B2 = 10000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
B1 = 15000, B2 = 153750 (P-1 stage 2)
B1 = 15000 (P-1 stage 1)
103
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106
107
103
104
105
106
107
108
109
TF factor-bounds graph:
267
265
264
263
262
261
260
257
256
250
260
270
280
290
2100
Last modified: 2022-03-07T17:30:51+00:00