A107798 Primes whose digits do not appear in two previous terms.

2, 3, 5, 7, 11, 23, 47, 59, 61, 73, 89, 101, 223, 449, 557, 601, 823, 947, 1051, 2333, 4447, 5009, 6113, 7247, 8009, 11113, 22247, 50069, 81131, 222247, 500009, 611111, 722237, 800089, 1111151, 2222243, 6000679, 8111581, 22222223, 40000409, 51111161, 72222823, 90000049, 111116561, 222222227, 300000089, 411111461

Offset

1,1

Comments

The slowest increasing sequence of primes such that a(n) shares no digit with a(n-1) and a(n-2).

Sequence seems to be infinite.

Corresponding indices of primes are in A107799. Cf. A030284 = Primes whose digits do not appear in previous term.

Links

Table of n, a(n) for n=1..47.

Mathematica

d=2; e=3; b={2, 3}; id[t_]:=IntegerDigits[t]; Do[p=Prime[n]; If[Intersection[Union[id[d], id[e]], id[p]]=={}, b=Append[b, p]; d=e; e=p], {n, 100000}]; b

Crossrefs

Cf. A030284, A107799.

Sequence in context: A068148 A036344 A165802 * A119660 A079148 A107367

Adjacent sequences: A107795 A107796 A107797 * A107799 A107800 A107801

Keyword

base,nonn

Author

Zak Seidov, May 24 2005, Oct 23 2009

Extensions

Edited by N. J. A. Sloane, Oct 29 2009

Status

approved