is 2 947719 - 1
has 285292 decimal digits
takes 0.023 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L0B562DA54BB8BF__double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26731.353170.1493%131072131072000.02953.6773%31.382671.2470%1.0977%
PrimeNet2400.000050.0000%80003600000.001023.4430%0.001061.7215%11.7215%
GPU722440.000054.5455%160006500000.001818.3721%0.001862.8964%8.3510%
Difference+23+31.3531+15.6038%+115072+12457200+0.0277-14.6948%+31.3808+8.3505%+8.3505%

Known prime factors (2 factors, 126.8 bits, 0.01338211% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
9477197163234189677654071859.313377919730937
7 × 146647 × 368153
2014-09-141466473681530.12660.00560.0105
9477192103638267975602670812167.511110984282681660
22 × 5 × 1303 × 4258798261
2007-09-121303425879826131.8998.158815.238

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
94771915068853563877119903527322133667266696739126.825
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2002-01-08T00:00:00ANONYMOUSv4_computers2000200000---0.000--0.214%
2002-02-24T00:00:00ANONYMOUSv4_computers4096409600---0.001--0.454%
2002-05-05T00:00:00ANONYMOUSv4_computers8192819200---0.002--0.814%
2002-05-11T00:00:00Jocelyn Larouchev4_computers50005000---0.000--0.061%
2002-05-11T00:00:00Jocelyn Larouchev4_computers60006000---0.000--0.076%
2002-05-25T00:00:00ANONYMOUSv4_computers163841638400---0.004--1.317%
2002-07-27T00:00:00ANONYMOUSv4_computers327683276800---0.007--1.967%
2003-01-09T00:00:00ANONYMOUSv4_computers655366553600---0.015--2.759%
2003-09-14T00:00:00ANONYMOUSv4_computers13107213107200---0.029--3.677%
2014-09-14T22:11:00alpertronManual testing200000500000061859.3130.0160.0460.0323.287%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2000-06-28T00:00:00ANONYMOUSv4_computers21255--0.005--
2000-06-29T00:00:00ANONYMOUSv4_computers21255--0.005--
2000-11-25T00:00:00ANONYMOUSv4_computers21256--0.010--
2001-10-25T00:00:00ANONYMOUSv4_computers21257--0.020--
2003-08-25T00:00:00ANONYMOUSv4_computers21258--0.041--


ECM factoring results:

Old Calculation Method

Total ECM effort:14.157 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:14.157 GHz-days
Estimated T-Level:25.344
DigitsB1CompleteFacMiss
201100014.8080.000%
25500001.62019.795%
302500000.13287.678%
3510000000.00999.129%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000002817.940
25000025000000446.217


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2001-12-08T00:00:00ANONYMOUSv4_computers0B562DA54BB8BF__0.023


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-28T11:34:09Oliver KruseGTX-1
716323418967765407
210363826797560267081
6DC7270496E9E8DFno
2017-09-30T15:23:42alpertronManual testing
716323418967765407
210363826797560267081
6DC7270496E9E8__no
2017-10-15T01:59:57Oliver KruseThreadripper
716323418967765407
210363826797560267081
6DC7270496E9E8__no
2020-04-24T01:18:03Oliver KruseAddPrpType5
716323418967765407
210363826797560267081
90E4AF8FE3D0C3__no


P-1 factor-bounds graph:
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 200000, B2 = 5000000 (P-1 stage 2)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 200000 (P-1 stage 1)
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 = 6000 (P-1 stage 1)
B1 = 5000 (P-1 stage 1)
B1 = 4096 (P-1 stage 1)
B1 = 2000 (P-1 stage 1)
102
103
104
105
106
102
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
267
258
257
256
255
250
260
270
280
290
2100
Last modified: 2020-04-24T01:18:03+00:00