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November 4th, 2018, 05:28 AM   #41
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Math Focus: primes of course
mild guesstimate

I wonder if the values spoken of (11,23,47,2351,4703,??) will appear in the order seen in the Rowland sequence (A221869) ? Very limited dataset to make this guess, but ...
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November 6th, 2018, 06:39 AM   #42
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Originally Posted by billymac00 View Post
I wonder if the values spoken of (11,23,47,2351,4703,??) will appear in the order seen in the Rowland sequence (A221869) ? Very limited dataset to make this guess, but ...
Sounds probable to me too.

Speaking of which, we also might add that a necessary (but not sufficient) condition for odd n to be a prime is that $2^{(n-1)/2}$ mod $n = n-1$ $or$ $1$.

In addition, in the sequence you quoted above, call it {$a_i$}, $a_{i+1}$ = $2a_ik + 1$.

More about that later.
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November 7th, 2018, 06:23 AM   #43
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In addition, in the sequence you quoted above, call it {$a_i$}, $a_{i+1}$ = $2a_ik + 1$.
Edit: I should put an index on k as well: $a_{i+1}$ = $2a_ik_i + 1$
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