is 2 2477213 - 1
has 745716 decimal digits
takes 0.172 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L4B748B865B8E456Ddouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26824.061367.6471 %2382500857701000.69657.5469 %24.757870.0887 %
Target2630.644365.0794 %110008000000.00541.3795 %0.649765.5611 %
Difference+5+23.4170+2.5677 %+2371500+84970100+0.6911+6.1674%+24.1081+4.5276 %

Known prime factors (1 factor, 79.2 bits, 0.00319895% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
24772137163092833643937025805032479.245144579671462323527
3 × 48193223820774509
2021-05-1534819322382077450949,424264,076,109493,220,631

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2003-10-14ANONYMOUSv4_computers2048204800--0.0010.660%
2003-10-31Team Prime Ribv4_computers15000228750--0.0031.686%
2010-11-20JossManual testing2000020000--0.0020.621%
2011-01-20Oscar Östlin9500019475006--0.0204.241%
2014-09-02JossManual testing120910120910--0.0121.805%
2014-10-21mikrMSI23825008577010012--0.69711.219%


Trial Factoring results:
575859606162636465666768
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1999-05-02ANONYMOUSv4_computers212590.016
2016-02-23Mark RoseManual testing2592600.031
2009-01-15Sturle Sundedittersdorf.ifi2602610.062
2012-06-08Sebastian HornbostelManual testing2612620.124
2013-12-04Jerry HallettManual testing2622630.396
2015-03-03VictordeHollanderManual testing2632640.793
2015-03-03VictordeHollanderManual testing2642651.508
2015-10-28ramgeisManual testing2652663.017
2017-07-22Gordon SpenceManual testing2662676.033
2019-05-27TJAOIManual testing26726812.07


ECM factoring results:
Total ECM effort:11.510 GHz-days
Estimated T-Level:22.260
DigitsB1CompleteFacMiss
20110004.8850.756%
25500000.45263.630%
302500000.02997.189%
3510000000.00199.867%


ECM Summary

B1B2factorcurvesGHz-days
50000500000012211.05
50000515000050.465


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-05-16ANONYMOUSv4_computers4B748B865B8E456D0.172
2018-05-29kkmrkkblmbrbkold4B748B865B8E456D0.172


PRP results:
dateuseridcompidcofactorsres64
2021-05-15tottenhoff2018pc
716309283364393702580503
E0CBAE580EEE1AE5


CERT results:
dateuseridcompid
2021-05-16Mark Filipski1


P-1 factor-bounds graph:
B1 = 2382500, B2 = 85770100 (P-1 stage 2)
B1 = 2382500 (P-1 stage 1)
B1 = 95000, B2 = 1947500 (P-1 stage 2)
B1 = 120910 (P-1 stage 1)
B1 = 95000 (P-1 stage 1)
B1 = 15000, B2 = 228750 (P-1 stage 2)
B1 = 20000 (P-1 stage 1)
B1 = 15000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
100
101
102
103
104
105
106
107
100
101
102
103
104
105
106
107
108
109
1010
1011
1012
1013
1014
1015
1016
1017
TF factor-bounds graph:
268
267
266
265
264
263
262
261
260
259
this exponent TF target: 63
TF double-checked to: 67
ECM T-Level=22.26 ~= 57-bit
250
260
270
280
JSON version of this page
Last modified: 2024-03-03T02:29:32+00:00