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Search: Posts Made By: Dr Sardonicus
Forum: Number Theory Discussion Group 2020-10-28, 02:05
Replies: 27
Views: 5,511
Posted By Dr Sardonicus
Obviously, searching far enough to find a...

Obviously, searching far enough to find a 447-tuple of primes

p, p + 2, p + 6, p + 8, p + 12, ..., p + 3158

is a bit much to ask for.

However, it occurred to me that finding "initial"...
Forum: Number Theory Discussion Group 2020-10-27, 14:42
Replies: 27
Views: 5,511
Posted By Dr Sardonicus
Admissible prime constellations...

Admissible prime constellations (http://sweet.ua.pt/tos/apc.html#r7) is IMO a good overview. The second graph, of p(k) - l(k) - 1, tells the story.

For small constellation size k, the second...
Forum: Number Theory Discussion Group 2020-10-23, 18:46
Replies: 27
Views: 5,511
Posted By Dr Sardonicus
There is an "admissibility condition" to the...

There is an "admissibility condition" to the effect that there can be no inevitable prime factor.

To check this, I told Pari-GP to compute the degree-447 polynomial

f =...
Forum: Number Theory Discussion Group 2020-10-23, 12:37
Replies: 27
Views: 5,511
Posted By Dr Sardonicus
Question Sequence of 3159 numbers containing 447 primes

By 53#? I don't know where in the world you got that idea.
Forum: Number Theory Discussion Group 2020-10-23, 00:26
Replies: 27
Views: 5,511
Posted By Dr Sardonicus
Once upon a time, long long ago, I posted a link...

Once upon a time, long long ago, I posted a link to a paper discussing this, Prime Number Races (https://dms.umontreal.ca/~andrew/PDF/PrimeRace.pdf).
Forum: Number Theory Discussion Group 2020-10-22, 15:34
Replies: 27
Views: 5,511
Posted By Dr Sardonicus
K-TUPLE Permissible Patterns...

K-TUPLE Permissible Patterns (http://www.opertech.com/primes/k-tuples.html)
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