is 2 662617 - 1
has 199468 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
Actual26744.843370.1493%1000000300000000.05685.5227%44.900171.7978%1.6486%
PrimeNet2400.000050.0000%60002400000.000420.9982%0.000460.4991%10.4991%
GPU722440.000054.5455%110004000000.000715.9942%0.000761.8155%7.2701%
Difference+23+44.8433+15.6038%+989000+29600000+0.0561-10.4715%+44.8994+9.9823%+9.9823%

Known prime factors (2 factors, 122.9 bits, 0.01855279% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
6626175283023742389277371858.874398648370204
22 × 33 × 7 × 527312659
2014-04-03275273126590.05900.63301.1822
662617192276698197717464072064.06014508886596459
3 × 223 × 21687423911
2007-11-24223216874239116.810626.03348.622

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
6626171015802361686758940276533144356239095938122.934
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2002-01-02T00:00:00ANONYMOUSv4_computers2000200000---0.000--0.192%
2002-01-22T00:00:00ANONYMOUSv4_computers4096409600---0.001--0.414%
2002-03-10T00:00:00ANONYMOUSv4_computers8192819200---0.001--0.752%
2002-05-05T00:00:00ANONYMOUSv4_computers163841638400---0.002--1.227%
2002-07-06T00:00:00ANONYMOUSv4_computers327683276800---0.005--1.848%
2002-10-12T00:00:00ANONYMOUSv4_computers655366553600---0.009--2.608%
2003-06-06T00:00:00ANONYMOUSv4_computers13107213107200---0.018--3.497%
unknown100000030000000---0.057--5.523%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2000-02-01T00:00:00ANONYMOUSv4_computers253254--0.002--
2022-03-07T09:02:31LordJuliusManual testing254255--0.004--
2001-04-15T00:00:00ANONYMOUSv4_computers21256--0.014--
2001-12-22T00:00:00ANONYMOUSv4_computers21257--0.029--
2003-10-23T00:00:00ANONYMOUSv4_computers21258--0.058--


ECM factoring results:

Old Calculation Method

Total ECM effort:8.522 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:8.522 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
10.00000e+0
5000050000002794.765
25000025000000443.757


Lucas-Lehmer results:
No L-L results for M662617


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-27T14:20:53Oliver KruseGTX-3
528302374238927737
19227669819771746407
D656CF7ED515B1__no
2017-09-28T09:44:52Oliver KruseManual testing
528302374238927737
19227669819771746407
D656CF7ED515B1__no
2017-11-09T02:25:24kkmrkkblmbrbkc4.large
528302374238927737
19227669819771746407
D656CF7ED515B1__no
2020-04-19T23:51:30Oliver KruseAddPrpType5
528302374238927737
19227669819771746407
2546EDBCD2C5C7__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 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 131072 (P-1 stage 1)
B1 = 16384, B2 = 1638400 (P-1 stage 2)
B1 = 65536 (P-1 stage 1)
B1 = 8192, B2 = 819200 (P-1 stage 2)
B1 = 32768 (P-1 stage 1)
B1 = 4096, B2 = 409600 (P-1 stage 2)
B1 = 16384 (P-1 stage 1)
B1 = 2000, B2 = 200000 (P-1 stage 2)
B1 = 8192 (P-1 stage 1)
B1 = 4096 (P-1 stage 1)
B1 = 2000 (P-1 stage 1)
100
101
102
103
104
105
106
100
101
102
103
104
105
106
107
108
109
1010
1011
TF factor-bounds graph:
267
258
257
256
255
254
250
260
270
280
290
2100
Last modified: 2022-03-07T09:02:31+00:00