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 A249953 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. 2
 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 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS The last term is a(163) = 102437. LINKS Zak Seidov, Table of n, a(n) for n = 1..163 MATHEMATICA 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 *) CROSSREFS Subsequence of A029743. Cf. A030284. Sequence in context: A339912 A099184 A098095 * A180530 A059500 A104213 Adjacent sequences: A249950 A249951 A249952 * A249954 A249955 A249956 KEYWORD nonn,base,fini,full AUTHOR Zak Seidov, Dec 05 2014 STATUS approved

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Last modified September 26 07:50 EDT 2023. Contains 365654 sequences. (Running on oeis4.)