Sums of all Squares - Page 16

CRGreathouse · 2010-12-28, 01:37

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.

davar55 · 2010-12-28, 01:42

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.

CRGreathouse · 2010-12-28, 01:53

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.

davar55 · 2010-12-28, 01:58

Could you put a re-phrasing of the k-tuple conjecture here?

CRGreathouse · 2010-12-28, 02:00

Quote:

Originally Posted by davar55

Could you put a re-phrasing of the k-tuple conjecture here?

http://lmgtfy.com/?q=k-tuple+conjecture

davar55 · 2010-12-28, 02:21

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?

CRGreathouse · 2010-12-28, 02:26

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.

davar55 · 2010-12-28, 02:38

Well, at some point you might expand on your suggested application
of that theorem or theorems to help elucidate this thread's questions.

davar55 · 2010-12-28, 02:41

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.

CRGreathouse · 2010-12-28, 02:42

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?

CRGreathouse · 2010-12-28, 02:44

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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2010-12-28, 01:42	#167
davar55 May 2004 New York City 1000010001000₂ 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, 01:58	#169
davar55 May 2004 New York City 1000010001000₂ Posts	Could you put a re-phrasing of the k-tuple conjecture here?

2010-12-28, 02:21	#171
davar55 May 2004 New York City 2³·23² 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, 02:38	#173
davar55 May 2004 New York City 2³×23² Posts	Well, at some point you might expand on your suggested application of that theorem or theorems to help elucidate this thread's questions.