

A107814


a(1) = prime(14), for n >= 2, a(n) is the smallest prime not previously used which contains a digit from a(n1).


27



43, 3, 13, 11, 17, 7, 37, 23, 2, 29, 19, 31, 41, 47, 67, 61, 71, 73, 53, 5, 59, 79, 89, 83, 103, 101, 107, 97, 109, 113, 127, 131, 137, 139, 149, 151, 157, 163, 167, 173, 179, 181, 191, 193, 197, 199, 211, 223, 227, 229, 233, 239, 241, 251, 257, 263, 269, 271, 277
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OFFSET

1,1


COMMENTS

a(n) = prime(n) for almost all n. Probably a(n) = prime(n) for all n > N for some N, but N must be very large.  Charles R Greathouse IV, Jul 20 2011


LINKS

Table of n, a(n) for n=1..59.


FORMULA

a(n) ~ n log n.  Charles R Greathouse IV, Jul 20 2011


MATHEMATICA

p=Prime[14]; b={p}; d=p; Do[Do[r=Prime[c]; If[FreeQ[b, r]&&Intersection@@IntegerDigits/@{d, r}=!={}, b=Append[b, r]; d=r; Break[]], {c, 1000}], {k, 60}]; b


CROSSREFS

Cf. A107353.
Other cases of seed: A107801 (a(1) = 2), A107802 (a(1) = 3), A107803 (a(1) = 5), A107804 (a(1) = 7), A107805 (a(1) = 11), A107806 (a(1) = 13), A107807 (a(1) = 17), A107808 (a(1) = 19), A107809 (a(1) = 23), A107810 (a(1) = 29), A107811 (a(1) = 31), A107812 (a(1) = 37), A107813 (a(1) = 41).
Sequence in context: A036202 A212316 A292996 * A093762 A354085 A156677
Adjacent sequences: A107811 A107812 A107813 * A107815 A107816 A107817


KEYWORD

nonn,base


AUTHOR

Zak Seidov and Eric Angelini, May 24 2005


STATUS

approved



