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 Showing results 1 to 24 of 24 Search took 0.01 seconds. Search: Posts Made By: davar55
 Forum: Puzzles 2011-01-23, 03:58 Replies: 183 Views: 14,885 Posted By davar55 From this thread: From this thread:
 Forum: Puzzles 2011-01-23, 03:52 Replies: 183 Views: 14,885 Posted By davar55 Just checking. Just checking.
 Forum: Puzzles 2011-01-23, 03:44 Replies: 183 Views: 14,885 Posted By davar55 I suppose this might be considered more evidence,... I suppose this might be considered more evidence, huh?
 Forum: Puzzles 2010-12-28, 03:00 Replies: 183 Views: 14,885 Posted By davar55 I'll just say here it's not blind and it's not... I'll just say here it's not blind and it's not faith. Forgive me my keys.
 Forum: Puzzles 2010-12-28, 02:41 Replies: 183 Views: 14,885 Posted By davar55 While proving a few such important sequences... While proving a few such important sequences infinite might help us triangulate on the keys - the k-tuples, and the mersennes.
 Forum: Puzzles 2010-12-28, 02:38 Replies: 183 Views: 14,885 Posted By davar55 Well, at some point you might expand on your... Well, at some point you might expand on your suggested application of that theorem or theorems to help elucidate this thread's questions.
 Forum: Puzzles 2010-12-28, 02:21 Replies: 183 Views: 14,885 Posted By davar55 Thanks. That animated google intro made me... 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?
 Forum: Puzzles 2010-12-28, 01:58 Replies: 183 Views: 14,885 Posted By davar55 Could you put a re-phrasing of the k-tuple... Could you put a re-phrasing of the k-tuple conjecture here?
 Forum: Puzzles 2010-12-28, 01:42 Replies: 183 Views: 14,885 Posted By davar55 This would be a good spot to put in a statement... 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.
 Forum: Puzzles 2010-12-28, 01:12 Replies: 183 Views: 14,885 Posted By davar55 From above: If we prove that... From above: If we prove that enough sequences' infinitude (like this one) depends on that k-tuple conjecture, then proving even one of them infinite would be evidence that all are -...
 Forum: Puzzles 2010-12-17, 19:38 Replies: 183 Views: 14,885 Posted By davar55 So what should we call this particular sequence? ... So what should we call this particular sequence? I suspect it will turn up hidden numeric treasures.
 Forum: Puzzles 2010-12-15, 21:16 Replies: 183 Views: 14,885 Posted By davar55 If you're computing p^p_sum_mods to 10^12, how... If you're computing p^p_sum_mods to 10^12, how many digits will the two highest successful values (new multiples of powers of ten) have, and will these numbers be equal?
 Forum: Puzzles 2010-12-13, 13:50 Replies: 183 Views: 14,885 Posted By davar55 The next step would be to filter out to only... The next step would be to filter out to only values = 0. But I think you need a double loop.
 Forum: Puzzles 2010-12-13, 03:52 Replies: 183 Views: 14,885 Posted By davar55 While this is current, any other mathematicians... While this is current, any other mathematicians here want to comment on whether this sequence is provably infinite? Perhaps by a density heuristic argument?
 Forum: Puzzles 2010-12-13, 03:32 Replies: 183 Views: 14,885 Posted By davar55 Well, so far the sequence of sum(p^p)mod(10^n) ... Well, so far the sequence of sum(p^p)mod(10^n) (I think it needs a better name) is: 11 751 1129 361649 361649 12462809 12462809
 Forum: Puzzles 2010-12-13, 02:13 Replies: 183 Views: 14,885 Posted By davar55 I suppose my batteries would have been sufficient... I suppose my batteries would have been sufficient to get that first term, but for the second I would have needed my home-built multi-precision (computer-resident) calculator, written in C but...
 Forum: Puzzles 2010-12-12, 21:52 Replies: 183 Views: 14,885 Posted By davar55 So far, this (sum p^p) sequence is: 11 751... So far, this (sum p^p) sequence is: 11 751 1129 361649 Couldn't have done that without a computer.
 Forum: Puzzles 2010-12-12, 21:22 Replies: 183 Views: 14,885 Posted By davar55 Something big? Now wouldn't that be cool to see... Something big? Now wouldn't that be cool to see ...
 Forum: Puzzles 2010-12-12, 20:53 Replies: 183 Views: 14,885 Posted By davar55 Another possibly interesting variation: 2^2... Another possibly interesting variation: 2^2 + 3^3 + 5^5 + ... + p^p = 10mK What is the smallest prime p such that the sum of squares of all primes up to p is a multiple of 10 (or 100 or 1000...
 Forum: Puzzles 2010-04-08, 14:28 Replies: 183 Views: 14,885 Posted By davar55 Another way to extend this problem is to use a... Another way to extend this problem is to use a base other than ten. I think binary. 2^2 + 3^2 + 5^2 + ... + p^2 = 2mK What is the smallest prime p such that the sum of squares of all primes...
 Forum: Puzzles 2010-04-06, 20:28 Replies: 183 Views: 14,885 Posted By davar55 With all the work done on the OP, it shouldn't be... With all the work done on the OP, it shouldn't be too hard to generalize the problem a bit. I think cubes. 2^3 + 3^3 + 5^3 + ... + p^3 = 10mK What is the smallest prime p such that the...
 Forum: Puzzles 2010-03-30, 20:00 Replies: 183 Views: 14,885 Posted By davar55 This is fine work by all of you. If you wish to... This is fine work by all of you. If you wish to submit the sequence to oeis, please go ahead. I couldn't do justice to the calculations, which I'm really impressed by. Joint discovery...
 Forum: Puzzles 2010-03-18, 14:32 Replies: 183 Views: 14,885 Posted By davar55 Nice and simple and quick reply -- thanks. ... Nice and simple and quick reply -- thanks. I won't ask about extending the list to 10000, etc. .....
 Forum: Puzzles 2010-03-18, 14:00 Replies: 183 Views: 14,885 Posted By davar55 Sums of all Squares 2^2 + 3^2 + 5^2 + ... + p^2 = 10mK What is the smallest prime p such that the sum of squares of all primes up to p is a multiple of 10 (or 100 or 1000).
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