is 2 6302531 - 1
has 1897251 decimal digits
takes 1.117 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LCCDA026EC38DADA3double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual27037.913467.1429 %2500000500000001.30756.4459 %39.220969.2608 %
Target2662.343365.1515 %4500045000000.07392.5012 %2.417266.0231 %
Difference+4+35.5702+1.9913 %+2455000+45500000+1.2335+3.9447%+36.8037+3.2376 %

Known prime factors (1 factor, 86.1 bits, 0.00136622% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
6302531832820600350115336018967192686.1066607032955094670189
3 × 7 × 13 × 23 × 37 × 307 × 2267 × 40862447
2020-09-152267408624473,944,5510.57261.0685

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2009-06-14Carsten Kossendeymother35000481250--0.0152.011%
2013-04-11Squeeky_SquirrelT7500_220011500023287506--0.0613.707%
2019-11-05takahashivaio6000001200000012--0.3146.305%
2020-09-15Dylan Delgadolaptop-ryzen737002500000500000001222686.1061.3078.971%


Trial Factoring results:
5758596061626364656667686970
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1998-07-05JShaftv4_computers212620.049
2016-02-23Mark RoseManual testing2622630.156
2014-08-17NesowaManual testing2632640.312
2014-08-24lycornManual testing2642650.593
2015-10-18snme2pm1Manual testing2652661.186
2016-03-18Gordon SpenceManual testing2662672.371
2018-06-04ramgeisManual testing2672684.743
2020-04-19takahashiManual testing2682699.485
2020-08-12takahashiManual testing26927018.97


ECM factoring results:
Total ECM effort:1.617 GHz-days
Estimated T-Level:1.154
DigitsB1CompleteFacMiss
20110000.23179.392%
25500000.02197.887%
302500000.00199.865%


ECM Summary

B1B2factorcurvesGHz-days
50000500000061.617


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-12-21Orionv4_computersCCDA026EC38DADA31.117
2015-11-13MadPooManual testingCCDA026EC38DADA31.117


PRP results:
dateuseridcompidcofactorsres64
2020-09-18ATHec2-PRPCF
83282060035011533601896719
76016F7F6149F789


CERT results:
dateuseridcompid
2020-09-18Ben Deloi-05c11d9dfd3e56ab2


P-1 factor-bounds graph:
B1 = 2500000, B2 = 50000000 (P-1 stage 2)
B1 = 2500000 (P-1 stage 1)
B1 = 600000, B2 = 12000000 (P-1 stage 2)
B1 = 600000 (P-1 stage 1)
B1 = 115000, B2 = 2328750 (P-1 stage 2)
B1 = 115000 (P-1 stage 1)
B1 = 35000, B2 = 481250 (P-1 stage 2)
B1 = 35000 (P-1 stage 1)
102
103
104
105
106
107
102
103
104
105
106
107
108
TF factor-bounds graph:
270
269
268
267
266
265
264
263
262
this exponent TF target: 66
TF double-checked to: 67
ECM T-Level=1.15 ~= -13-bit
250
260
270
280
290
JSON version of this page
Last modified: 2024-03-13T02:15:48+00:00