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A107798 Primes whose digits do not appear in two previous terms. 2
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 (list; graph; refs; listen; history; text; internal format)
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

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Last modified November 18 04:44 EST 2019. Contains 329248 sequences. (Running on oeis4.)