is 2 7268857 - 1
has 2188144 decimal digits
takes 1.585 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L0BEC9D5125C73BF8double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual2688.200066.1765 %38851177702260.25004.6498 %8.450067.7492 %
Target2674.087865.6716 %4500050000000.09962.3141 %4.187466.4660 %
Difference+1+4.1122+0.5048 %+343511+2770226+0.1504+2.3357%+4.2626+1.2832 %

Known prime factors (1 factor, 94.2 bits, 0.00129539% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
7268857221354792146378843128876092412994.1601522624479656009487660
22 × 32 × 5 × 7 × 373 × 1249 × 349471 × 7422323
2020-02-283494717422323852,981,9570.23230.2388

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2001-12-22ANONYMOUSv4_computers35000358750--0.0171.658%
2012-07-30NesowaEPC9000016200006--0.0552.986%
2020-02-28GdSManual testing38851177702261222994.1600.2505.132%


Trial Factoring results:
575859606162636465666768
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1998-09-20ANONYMOUSv4_computers212620.042
2001-12-22ANONYMOUSv4_computers212630.135
2013-11-03NesowaManual testing2632640.270
2013-11-16David CampeauManual testing2642650.514
2015-06-16VictordeHollanderManual testing2652661.028
2016-10-18Gordon SpenceManual testing2662672.056
2018-08-03ramgeisManual testing2672684.112


ECM factoring results:
Total ECM effort:1.989 GHz-days
Estimated T-Level:1.154
DigitsB1CompleteFacMiss
20110000.23179.392%
25500000.02197.887%
302500000.00199.865%


ECM Summary

B1B2factorcurvesGHz-days
50000500000061.989


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-06-15ANONYMOUSv4_computers0BEC9D5125C73BF81.585
2002-01-02ANONYMOUSv4_computers0BEC9D5125C73BF81.585


PRP results:
dateuseridcompidcofactorsres64
2020-02-29Niels_Mache_NextcloudSuperDry-X
22135479214637884312887609241
FA1A420ACA23FC2B
2020-03-02marssystemsSystem01
22135479214637884312887609241
FA1A420ACA23FC2B


CERT results:
No CERT results for M7268857


P-1 factor-bounds graph:
B1 = 388511, B2 = 7770226 (P-1 stage 2)
B1 = 388511 (P-1 stage 1)
B1 = 90000, B2 = 1620000 (P-1 stage 2)
B1 = 90000 (P-1 stage 1)
B1 = 35000, B2 = 358750 (P-1 stage 2)
B1 = 35000 (P-1 stage 1)
103
104
105
106
103
104
105
106
107
TF factor-bounds graph:
268
267
266
265
264
263
262
this exponent TF target: 67
TF double-checked to: 67
ECM T-Level=1.15 ~= -13-bit
250
260
270
280
290
2100
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Last modified: 2024-03-13T02:15:48+00:00