is 2 2829913 - 1
has 851889 decimal digits
takes 0.219 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L263F4A88DA4A5CE3double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26710.499967.1642%5000015000000.01442.2394%10.514467.8995%0.7353%
PrimeNet2590.027162.7119%120002400000.00272.9327%0.029963.8054%1.0936%
GPU722630.564065.0794%160002600000.00331.8265%0.567365.7172%0.6378%
Difference+4+9.9360+2.0848%+34000+1240000+0.0112+0.4129%+9.9471+2.1823%+2.1823%

Known prime factors (1 factor, 72.2 bits, 0.00255182% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
282991354786514351175368792012272.214967989375489200
24 × 52 × 709 × 3413220647
2013-04-077093413220647387.6920.82638.898

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2000-03-27T00:00:00ANONYMOUSv4_computers15000161250---0.003--0.844%
2002-01-02T00:00:00ANONYMOUSv4_computers20000240000---0.004--1.056%
2002-01-02T00:00:00ANONYMOUSv4_computers500001500000---0.014--2.239%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-04-21T00:00:00ANONYMOUSv4_computers21259--0.027--
2022-03-10T18:31:15LordJuliusManual testing21260--0.054--
2009-02-12T21:09:00Sturle Sundegonzo.ifi260261--0.054--
2012-02-12T07:15:00markroldgamer261262--0.109--
2013-01-10T10:23:00dbaughManual testing262263--0.347--


ECM factoring results:

Old Calculation Method

Total ECM effort:0.626 GHz-days
Estimated T-Level:0.300
DigitsB1CurvesCompleteFacMiss
20110006 / 1000.06094.148%
25500006 / 2800.02197.876%

New Calculation Method

Total ECM effort:0.626 GHz-days
Estimated T-Level:0.300
DigitsB1CompleteFacMiss
20110000.23179.392%
25500000.02197.887%
302500000.00199.865%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
50000500000060.626


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-05-08T00:00:00ANONYMOUSv4_computers263F4A88DA4A5CE30.219


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-22T06:28:46Oliver KruseGTX-3
5478651435117536879201
3350DCA343BDEF__no
2017-12-07T04:32:01kkmrkkblmbrbkc4.xlarge
5478651435117536879201
3350DCA343BDEF__no


P-1 factor-bounds graph:
B1 = 50000, B2 = 1500000 (P-1 stage 2)
B1 = 50000 (P-1 stage 1)
B1 = 20000, B2 = 240000 (P-1 stage 2)
B1 = 15000, B2 = 161250 (P-1 stage 2)
B1 = 20000 (P-1 stage 1)
B1 = 15000 (P-1 stage 1)
101
102
103
104
105
101
102
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
267
263
262
261
260
259
250
260
270
280
290
2100
Last modified: 2022-03-10T18:31:15+00:00