First differences are primes

[Max A.]

On 9/25/06, Eric Angelini <Eric.Angelini at kntv.be> wrote:

> could someone please extend this (if of interest for the OEIS) :
>
> S = 1 4 6 25 30 77 84 95 108 125 148 177 208 245 286 329 382 441 502 573 640 713 792 875 964 1065 1162 ...

First 50 terms:
1, 4, 6, 25, 30, 77, 84, 95, 108, 125, 148, 177, 208, 245, 286, 329,
382, 441, 502, 573, 640, 713, 792, 875, 964, 1065, 1162, 1265, 1372,
1485, 1594, 1725, 1852, 1989, 2128, 2277, 2428, 2585, 2748, 2915,
3088, 3267, 3448, 3639, 3832, 4029, 4228, 4439, 4662, 4891

> Definition :
>
> « Non-primes sequence whose first differences show all primes, once »

I think you should also say "lexicographically smallest" sequence,
otherwise it is not well-defined (there are many sequences of
composite numbers whose first differences represent all prime
numbers).

Max