is 2 7350829 - 1
has 2212821 decimal digits
takes 1.603 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L8965801886B90048double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual272130.098768.0556 %32000008216426400142.496011.0826 %272.594871.5958 %
Target2674.042365.6716 %5000055000000.10972.4294 %4.151966.5056 %
Difference+5+126.0565+2.3839 %+3150000+8210926400+142.3863+8.6531%+268.4428+5.0902 %

Known prime factors (1 factor, 88.6 bits, 0.00120532% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
73508294693645891955158896274598332788.60131925962989719655404
22 × 17 × 503 × 170537 × 5473290373
2023-03-11170537547329037316,361,42894.336176.10

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2002-01-02ANONYMOUSv4_computers35000315000--0.0161.597%
2012-09-13NesowaEPC8000013800006--0.0482.819%
2017-05-12Squeeky_Squirreli5-5250U_16004300001333000012--0.3585.757%
2023-03-11DRobinsonPE5600G3200000821642640022788.601170.615.550%


Trial Factoring results:
57585960616263646566676869707172
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1999-02-07ANONYMOUSv4_computers212630.134
2012-03-25David CampeauManual testing2632640.267
2013-11-21David CampeauManual testing2642650.508
2015-06-21VictordeHollanderManual testing2652661.017
2016-10-06Gordon SpenceManual testing2662672.033
2018-08-05ramgeisManual testing2672684.066
2020-04-17TJAOIManual testing2682698.133
2021-08-19SRBaseManual testing26927016.27
2021-08-24SRBaseManual testing27027132.53
2021-09-28SRBaseManual testing27127265.06


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)
1999-05-02curtiscv4_computers8965801886B900481.603
2002-04-14ANONYMOUSv4_computers8965801886B900481.603


PRP results:
dateuseridcompidcofactorsres64
2023-03-17Funky Waddlemain
469364589195515889627459833
83AC8E93DEA2C07C


CERT results:
dateuseridcompid
2023-03-17curtiscot013439


P-1 factor-bounds graph:
B1 = 3200000, B2 = 8216426400 (P-1 stage 2)
B1 = 3200000 (P-1 stage 1)
B1 = 430000, B2 = 13330000 (P-1 stage 2)
B1 = 430000 (P-1 stage 1)
B1 = 80000, B2 = 1380000 (P-1 stage 2)
B1 = 80000 (P-1 stage 1)
B1 = 35000, B2 = 315000 (P-1 stage 2)
B1 = 35000 (P-1 stage 1)
103
104
105
106
107
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
272
271
270
269
268
267
266
265
264
263
this exponent TF target: 67
TF double-checked to: 67
ECM T-Level=1.15 ~= -13-bit
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Last modified: 2024-03-13T02:15:48+00:00