Fred Kline

Seattle, WA

Age: 71

Contact: rudytoody.AT.comcast.DOT.net

I retired in 2006 and bought Mathematica and a stack of math books with the goal to teach myself to become a world-class mathematician. I am on pace to achieve that goal sometime shortly after the next Ice Age.

I consider myself a Mathematical Mutt (no papers) who occasionally ventures off the back porch to play in the yard with the big dogs.

I donate regularly to the The OEIS Foundation.

When I look at the patterns, I can hear the wheels turning. When I look at the math, I find out the hamsters have died.

3h
revised Can this proof-by-cases of 10-tuple patterns be generalized to all $k$-tuples?
added 24 characters in body
3h
revised Can this proof-by-cases of 10-tuple patterns be generalized to all $k$-tuples?
Changed title to form a question, added footnotes
22h
revised Can this proof-by-cases of 10-tuple patterns be generalized to all $k$-tuples?
fixed title
22h
asked Can this proof-by-cases of 10-tuple patterns be generalized to all $k$-tuples?
Feb
24
accepted $k$-tuple conjecture.
Feb
24
comment $k$-tuple conjecture.
In step 2, instead of using primes we can use $n\leq k$. We sieve by replacing all multiples of $k,k-1,\dots,2$. This results in a list that contains all primes less than $k$, in multiplicity, and the remaining ones are identified as primes less than $k^2+2k$, because we use $k$ as the square root.$${}$$So, your use of assigned, while accurate, is not exact, because we have not factored any numbers to get their least primes. That is a side effect of the sieve. This is the crux of the conjecture and the reason that step 2 is so difficult to describe. I have a full day, so be back tonight.
Feb
23
awarded Scholar
Feb
23
awarded Supporter
Feb
23
accepted Are robotic pollenators being designed?
Feb
23
revised $k$-tuple conjecture.
Defined k
Feb
23
answered In the Collatz function, why does $2^k-1$ reach $3^k-1$ after $2k$ steps, and could it be used to find divergent trajectories?
Feb
23
revised $k$-tuple conjecture.
simplified entire description. need only 2 steps now
Feb
22
awarded Student
Feb
22
asked Are robotic pollenators being designed?
Feb
22
awarded Autobiographer
Feb
22
revised $k$-tuple conjecture.
inserted message re: bonus
Feb
22
revised $k$-tuple conjecture.
fixed step 2
Feb
22
revised $k$-tuple conjecture.
fixed spelling
Feb
22
revised $k$-tuple conjecture.
Completely revised with better examples
Feb
21
revised $k$-tuple conjecture.
fixed sentence structure
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