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A107814 a(1)=prime(14), for n>=2 a(n) = smallest prime not previously used which contains a digit from a(n-1). 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 (list; graph; refs; listen; history; text; internal format)
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: A051318 A036202 A212316 * A093762 A156677 A097398

Adjacent sequences:  A107811 A107812 A107813 * A107815 A107816 A107817

KEYWORD

base,nonn

AUTHOR

Zak Seidov and Eric Angelini, May 24 2005

STATUS

approved

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Last modified March 28 22:27 EDT 2017. Contains 284249 sequences.