primes in pi: 1, 2, 6, 38, 16208, 47577, 78073, ...

Richard Guy rkg at cpsc.ucalgary.ca
Mon Jul 17 21:50:48 CEST 2006


It would be more natural (??) to do this in base 2.

So here are two new(?) sequences for people to
check and extend:

The first
           2,  8,    14,    18,   ...

digits in the binary representation of pi form the
primes
           3, 401, 25667, 410687, ...

in decimal notation.        R.

On Mon, 17 Jul 2006, Eric W. Weisstein wrote:

> Anyone curious about prime number searches may be 
> (slightly) interested to learn that the concatenation 
> of the first 78073 digits of pi (including the initial 
> 3) forms a probable prime.  For the complete list of 
> known indices of primes in the digits of pi (as listed 
> above), see 
> http://www.research.att.com/~njas/sequences/A060421.
>
> I believe at 78073 digits, pi(78073) becomes the 65th 
> largest known PRP (cf. 
> http://www.primenumbers.net/prptop/prptop.php).
>
> Cheers,
> -Eric
>






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