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2010-12-28, 01:37   #166
CRGreathouse

Aug 2006

2·2,969 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 2×2,099 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

2×2,969 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

2·2,969 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 2×2,099 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

106616 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

2×2,969 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

134628 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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