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 A261269 Minimal prime concatenation sequence with base 2 and seed 11. 3
 11, 111, 11101, 111011, 11101111, 111011111, 111011111001, 111011111001111, 1110111110011111, 11101111100111110101, 1110111110011111010101, 11101111100111110101010101, 11101111100111110101010101011, 1110111110011111010101010101111 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS Clark Kimberling, Table of n, a(n) for n = 1..500 EXAMPLE In base 2, the least prime starting with seed 1 is 11; the least prime starting with 11 is 111; the least prime starting with 111 is 11101. Triangular format: 11 111 11101 111011 11101111 1110111111 111011111001 MATHEMATICA b = 2; s = {{1}}; Do[NestWhile[# + 1 &, 0, ! (PrimeQ[FromDigits[tmp = Join[Last[s], (nn = #;           IntegerDigits[nn - Sum[b^n, {n, l = NestWhile[# + 1 &, 1, ! (nn - (Sum[b^n, {n, #}]) < 0) &] - 1}], b, l + 1])], b]]) &]; AppendTo[s, tmp], {30}]; Map[FromDigits, s] Map[FromDigits, s] (* A261269 *) Map[FromDigits[#, b] &, s] (* A261270 *) (* Peter J. C. Moses, Aug 06 2015 *) CROSSREFS Cf. A261270. Sequence in context: A097177 A136982 A083441 * A031974 A117293 A015468 Adjacent sequences:  A261266 A261267 A261268 * A261270 A261271 A261272 KEYWORD nonn,easy,base AUTHOR Clark Kimberling, Sep 16 2015 STATUS approved

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Last modified May 26 21:56 EDT 2022. Contains 354092 sequences. (Running on oeis4.)