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2010-12-28, 01:37   #166
CRGreathouse

Aug 2006

10111001100102 Posts

Quote:
 Originally Posted by davar55 So what should we call this particular sequence? I suspect it will turn up hidden numeric treasures.
Was it to turn up hidden treasures, it would be named at that point.

 2010-12-28, 01:42 #167 davar55     May 2004 New York City 106616 Posts This would be a good spot to put in a statement of the k-tuple conjecture. BTW proving my p^p%10^n sequence infinite might instead be a step toward proving your k-tuple conjecture.
2010-12-28, 01:53   #168
CRGreathouse

Aug 2006

173216 Posts

Quote:
 Originally Posted by davar55 BTW proving my p^p%10^n sequence infinite might instead be a step toward proving your k-tuple conjecture.
"My" k-tuple conjecture? I'm neither Hardy nor Littlewood.

I quite doubt that proving your sequence infinite would help prove the k-tuple conjecture.

 2010-12-28, 01:58 #169 davar55     May 2004 New York City 2·2,099 Posts Could you put a re-phrasing of the k-tuple conjecture here?
2010-12-28, 02:00   #170
CRGreathouse

Aug 2006

2×2,969 Posts

Quote:
 Originally Posted by davar55 Could you put a re-phrasing of the k-tuple conjecture here?
http://lmgtfy.com/?q=k-tuple+conjecture

 2010-12-28, 02:21 #171 davar55     May 2004 New York City 2×2,099 Posts Thanks. That animated google intro made me chuckle. Now I have some data on prime constellations, the HL conjecture, and twin primes. Did Dirichlet anticipate the HL k-tuple conjecture?
2010-12-28, 02:26   #172
CRGreathouse

Aug 2006

593810 Posts

Quote:
 Originally Posted by davar55 Now I have some data on prime constellations, the HL conjecture, and twin primes.
Hardy-Littlewood conjectures -- there were quite a few.

Quote:
 Originally Posted by davar55 Did Dirichlet anticipate the HL k-tuple conjecture?
Good question; I don't know the answer.

 2010-12-28, 02:38 #173 davar55     May 2004 New York City 419810 Posts Well, at some point you might expand on your suggested application of that theorem or theorems to help elucidate this thread's questions.
2010-12-28, 02:41   #174
davar55

May 2004
New York City

2×2,099 Posts

Quote:
 Originally Posted by CRGreathouse I quite doubt that proving your sequence infinite would help prove the k-tuple conjecture.
While proving a few such important sequences infinite might help us
triangulate on the keys - the k-tuples, and the mersennes.

2010-12-28, 02:42   #175
CRGreathouse

Aug 2006

173216 Posts

Quote:
 Originally Posted by davar55 While proving a few such important sequences infinite might help us triangulate on the keys - the k-tuples, and the mersennes.
Is that blind faith, or do you have some reason for this belief?

2010-12-28, 02:44   #176
CRGreathouse

Aug 2006

2·2,969 Posts

Quote:
 Originally Posted by davar55 Well, at some point you might expand on your suggested application of that theorem or theorems to help elucidate this thread's questions.
See post #165.

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