OFFSET
1,2
COMMENTS
Conjecture: The only digit that is repeated in the sequence is 0 except for n=2 and n=3 where 2 repeats. So 1 may be followed by 2 or 0; 2 may be followed by 1 or 0; 0 may be followed by 0 or 1 or 2. this has been confirmed for the first million prime gaps.
The conjecture is true, because any three numbers whose differences are (1, 1) or (2, 2) will form a complete residue system modulo 3, and hence one of them will be a multiple of 3. - Karl W. Heuer, Mar 16 2016
See comments at A269364. - Antti Karttunen, Mar 17 2016
LINKS
Terence Tao, Biases between consecutive primes, blog entry March 14, 2016
MATHEMATICA
n=1000; (*The length of the list*) Mod[Differences[Table[Prime[i], {i, n}]], 3]
PROG
CROSSREFS
KEYWORD
easy,nonn
AUTHOR
Noel H. Patson (n.patson(AT)cqu.edu.au), Mar 12 2008
STATUS
approved