is 2 2834527 - 1
has 853278 decimal digits
takes 0.219 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LB283A49C2033B565double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26821.028267.6471 %50000002000000001.74989.1688 %22.777970.6134 %
Target2630.563165.0794 %1600013000000.00961.8271 %0.572765.7174 %
Difference+5+20.4651+2.5677 %+4984000+198700000+1.7402+7.3417%+22.2053+4.8960 %

Known prime factors (1 factor, 74.1 bits, 0.00261249% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2834527195794647126822169382472374.0523453744612889949
7 × 593 × 1489 × 558782491
2020-11-1214895587824911,349.73.40976.3680

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2003-11-28ANONYMOUSv4_computers2048204800--0.0010.684%
2016-09-19JossManual testing12000033000006--0.0364.990%
2016-09-21JossManual testing1200003630000--0.0385.086%
2016-09-22JossManual testing1200003993000--0.0415.182%
2016-12-15JossManual testing172800172800---2.179%
2016-12-23JossManual testing207360207360---2.361%
2017-02-25JossManual testing29859829859806--0.0555.427%
2017-10-13JossManual testing59719659719606--0.1106.645%
2019-11-04masserManual testing28400002840000012--0.5229.665%
2020-02-02masserManual testing500000020000000012--1.92813.174%


Trial Factoring results:
575859606162636465666768
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1998-02-08ANONYMOUSv4_computers212590.014
2016-02-23Mark RoseManual testing2592600.027
2009-02-12Sturle Sundegibsy.ifi2602610.054
2012-02-16Grant McCrackenhome2612620.108
2013-01-10dbaughManual testing2622630.346
2015-04-21VictordeHollanderManual testing2632640.693
2015-04-21VictordeHollanderManual testing2642651.318
2015-12-01omylistManual testing2652662.636
2017-10-28Gordon SpenceManual testing2662675.273
2019-01-04chuenkitManual testing26726810.55


ECM factoring results:
Total ECM effort:4.482 GHz-days
Estimated T-Level:20.801
DigitsB1CompleteFacMiss
20110001.73117.715%
25500000.16085.202%
302500000.01098.995%


ECM Summary

B1B2factorcurvesGHz-days
500005000000444.377
50000500000010.104


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-02-08ANONYMOUSv4_computersB283A49C2033B5650.219
2000-01-19ANONYMOUSv4_computersB283A49C2033B5650.219


PRP results:
dateuseridcompidcofactorsres64
2020-11-12mrhw
19579464712682216938247
71F4F97D7EAB99BF


CERT results:
dateuseridcompid
2020-11-12Stefan G HoffmannPC-SGH-2020-AWOW-4


P-1 factor-bounds graph:
B1 = 5000000, B2 = 200000000 (P-1 stage 2)
B1 = 5000000 (P-1 stage 1)
B1 = 2840000, B2 = 28400000 (P-1 stage 2)
B1 = 2840000 (P-1 stage 1)
B1 = 597196, B2 = 5971960 (P-1 stage 2)
B1 = 597196 (P-1 stage 1)
B1 = 298598, B2 = 2985980 (P-1 stage 2)
B1 = 120000, B2 = 3993000 (P-1 stage 2)
B1 = 120000, B2 = 3630000 (P-1 stage 2)
B1 = 298598 (P-1 stage 1)
B1 = 120000, B2 = 3300000 (P-1 stage 2)
B1 = 207360 (P-1 stage 1)
B1 = 172800 (P-1 stage 1)
B1 = 120000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
102
103
104
105
106
107
102
103
104
105
106
107
108
109
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=20.8 ~= 52-bit
250
260
270
280
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Last modified: 2024-02-09T03:30:02+00:00