Primefree sequences in the OEIS

Hans Havermann pxp at rogers.com
Fri Oct 21 21:25:22 CEST 2005


Alonso Del Arte:

> 4, 7, 12, 35, ..., 290, ..., 384, ..., 566, 567, ..., 578, 580,  
> 581, 582, 583, 584, ..., 1014, 1015, ..., 1106, 1107, ...,  
> 2808, ..., 18252, ..., 97785, ..., 100766, 100767, ..., 105416
>
> Sequence An in Sloane's Online Encyclopedia of Integer Sequences  
> contains no primes.

> It seems to me that he meant the sequences considered in their  
> infinite totality.


Jud McCranie:

> The currently-known terms may not contain any primes, but that  
> doesn't rule out the possibility of finding a prime.


In fact, the currently-known terms *may* contain a prime: A000566  
contains 7. That's as far as I bothered to look.





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