is 2 7242887 - 1
has 2180327 decimal digits
takes 1.579 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LDBBBAFDE66F86F77double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual273264.099768.4932%1600000016143964200282.885512.6393%546.985272.4754%
Target2674.102565.6716%4500010000000.03072.3127%4.133266.4656%
Difference+6+259.9972+2.8215%+15955000+16142964200+282.8548+10.3266%+542.8520+6.0098%

Known prime factors (1 factor, 125.9 bits, 0.00173870% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
72428878116822591350697617232104257187699551938125.9325603306106633099216674306983657
37 × 43 × 47 × 61 × 73 × 347 × 43487 × 221957 × 5024187589		2023-02-2622195750241875892.401e+1086.615161.65

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2002-03-31Team Prime Ribv4_computers35000490000---0.019--0.780%
2002-07-14Team Prime Ribv4_computers35000490000---0.019--0.780%
2012-07-21NesowaEPC900001620000---0.055--1.434%
2020-02-04storm55103570_Ivy_Bridge385000847000012---0.261--2.837%
2023-01-18yoyorocks1Manual testing160000001614396420038125.932282.93.159565.812.639%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-06-28Stephan Gruppv4_computers21262--0.085--
2004-03-26Sturle Sundev4_computers21263--0.220--
2013-11-03NesowaManual testing263264--0.271--
2013-11-14David CampeauManual testing264265--0.516--
2015-06-16VictordeHollanderManual testing265266--1.032--
2016-10-14Gordon SpenceManual testing266267--2.063--
2018-08-01ramgeisManual testing267268--4.127--
2020-03-13TJAOIManual testing268269--8.254--
2021-08-19SRBaseManual testing269270--16.51--
2021-08-24SRBaseManual testing270271--33.02--
2021-09-26SRBaseManual testing271272--66.03--
2021-12-26-Anonymous-Manual testing272273--132.1--


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)
1999-05-02vidmarv4_computersDBBBAFDE66F86F771.579
2002-04-14Team Prime Ribv4_computersDBBBAFDE66F86F771.579
2002-07-14Team Prime Ribv4_computersDBBBAFDE66F86F771.579


PRP results:
dateuseridcompidcofactorsres64PRP
2023-03-03rucio
81168225913506976172321042571876995519
D720C64E365D8F6Dno


P-1 factor-bounds graph:
B1 = 16000000, B2 = 16143964200 (P-1 stage 2)
B1 = 16000000 (P-1 stage 1)
B1 = 385000, B2 = 8470000 (P-1 stage 2)
B1 = 385000 (P-1 stage 1)
B1 = 90000, B2 = 1620000 (P-1 stage 2)
B1 = 90000 (P-1 stage 1)
B1 = 35000, B2 = 490000 (P-1 stage 2)
B1 = 35000 (P-1 stage 1)
103
104
105
106
107
108
103
104
105
106
107
108
109
1010
1011
TF factor-bounds graph:
273
272
271
270
269
268
267
266
265
264
263
262
this exponent TF target: 67
TF double-checked to: 67.7
ECM T-Level=1.15 ~= -13-bit
250
260
270
280
290
2100
2110
2120
2130
Last modified: 2023-03-25T13:08:14+00:00