is 2 630521 - 1
has 189806 decimal digits
takes 0.010 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
Actual26747.126070.1493%1000000300000000.05685.4916%47.182871.7885%1.6393%
PrimeNet2400.000050.0000%60002200000.000420.6312%0.000460.3156%10.3156%
GPU722440.000054.5455%110004000000.000715.9017%0.000761.7735%7.2280%
Difference+23+47.1260+15.6038%+989000+29600000+0.0561-10.4101%+47.1821+10.0150%+10.0150%

Known prime factors (1 factor, 67.3 bits, 0.01067071% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
6305211793179295825126198172167.281142198221456948
22 × 3 × 41 × 73 × 3959188703
2008-01-2173395918870356.2384.75258.8763

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2000-12-31T00:00:00Alex Kruppav4_computers200040000---8.96776e-5--0.110%
2001-04-21T00:00:00Alex Kruppav4_computers1000004000000---0.007--2.587%
2002-05-11T00:00:00ANONYMOUSv4_computers163841638400---0.002--1.215%
2002-06-29T00:00:00ANONYMOUSv4_computers327683276800---0.005--1.831%
2002-10-07T00:00:00ANONYMOUSv4_computers655366553600---0.009--2.588%
2003-05-19T00:00:00ANONYMOUSv4_computers13107213107200---0.018--3.473%
2016-03-17T18:49:57alpertronManual testing10000003000000012---0.057--5.492%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2000-01-04T00:00:00ANONYMOUSv4_computers253254--0.002--
2022-03-07T09:01:51LordJuliusManual testing254255--0.004--
2001-04-15T00:00:00ANONYMOUSv4_computers21256--0.015--
2001-10-25T00:00:00ANONYMOUSv4_computers21257--0.030--
2003-11-08T00:00:00ANONYMOUSv4_computers21258--0.061--


ECM factoring results:

Old Calculation Method

Total ECM effort:8.487 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:8.487 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
5000050000002794.745
25000025000000443.742


Lucas-Lehmer results:
No L-L results for M630521


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-27T13:12:07Oliver KruseGTX-3
179317929582512619817
ED13BFE367CEA9__no
2017-09-28T09:44:21Oliver KruseManual testing
179317929582512619817
ED13BFE367CEA9__no
2017-11-08T23:47:13kkmrkkblmbrbkc4.large
179317929582512619817
ED13BFE367CEA9__no
2020-04-19T17:37:23Oliver KruseAddPrpType5
179317929582512619817
33D17BD953EF66__no


P-1 factor-bounds graph:
B1 = 1000000, B2 = 30000000 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 100000, B2 = 4000000 (P-1 stage 2)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 131072 (P-1 stage 1)
B1 = 16384, B2 = 1638400 (P-1 stage 2)
B1 = 100000 (P-1 stage 1)
B1 = 65536 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
B1 = 16384 (P-1 stage 1)
B1 = 2000, B2 = 40000 (P-1 stage 2)
B1 = 2000 (P-1 stage 1)
100
101
102
103
104
105
106
100
101
102
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
267
258
257
256
255
254
250
260
270
280
290
2100
Last modified: 2022-03-07T09:01:51+00:00