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A249953
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Primes with distinct digits: a(n) is the least prime > a(n-1) such that a(n-1) and a(n) share just one digit.
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2
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13, 17, 19, 29, 59, 79, 89, 97, 107, 139, 157, 163, 179, 239, 241, 257, 263, 271, 283, 307, 349, 367, 389, 409, 421, 439, 457, 461, 479, 509, 521, 547, 563, 571, 593, 613, 647, 653, 691, 701, 739, 751, 769, 809, 821, 839, 857, 863, 937, 941, 953, 967, 983, 1049, 1237, 1409, 1523, 1607
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OFFSET
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1,1
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COMMENTS
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The last term is a(163) = 102437.
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LINKS
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Zak Seidov, Table of n, a(n) for n = 1..163
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MATHEMATICA
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a249953[n_Integer] := Module[{t = {1}, i},
Do[If[And[DuplicateFreeQ[IntegerDigits[Prime[i]]],
Length[Intersection[IntegerDigits[Last@t],
IntegerDigits[Prime[i]]]] == 1], True;
t = Append[t, Prime[i]]], {i, 1, n}]; Rest[t]]; a249953[120000] (* Michael De Vlieger, Dec 14 2014 *)
lp1d[n_]:=Module[{p=NextPrime[n]}, While[Length[Intersection[ IntegerDigits[ n], IntegerDigits[p]]]!=1||!DuplicateFreeQ[ IntegerDigits[ p]], p= NextPrime[ p]]; p]; NestList[lp1d, 13, 60] (* Harvey P. Dale, May 31 2019 *)
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CROSSREFS
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Subsequence of A029743.
Cf. A030284.
Sequence in context: A339912 A099184 A098095 * A180530 A059500 A104213
Adjacent sequences: A249950 A249951 A249952 * A249954 A249955 A249956
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KEYWORD
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nonn,base,fini,full
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AUTHOR
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Zak Seidov, Dec 05 2014
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STATUS
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approved
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