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 A058935 Concatenation of first n binary numbers. 12
 0, 1, 110, 11011, 11011100, 11011100101, 11011100101110, 11011100101110111, 110111001011101111000, 1101110010111011110001001, 11011100101110111100010011010, 110111001011101111000100110101011, 1101110010111011110001001101010111100 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 COMMENTS If the terms are read as decimal numbers, which of them are primes? For example, a(5) = 11011100101 = 1193*9229757 is not a prime. - N. J. A. Sloane, Feb 17 2023 Answer: a(231) is the first prime term when read as a decimal number; a(15) is the first when read as a binary number. - Michael S. Branicky, Feb 17 2023 LINKS Michael S. Branicky, Table of n, a(n) for n = 0..155 Eric Weisstein's World of Mathematics, Binary Champernowne Constant Eric Weisstein's World of Mathematics, Smarandache Number Index entries for sequences related to Most Wanted Primes video FORMULA a(n) = a(n-1)*10^A029837(n) + A007088(n). MATHEMATICA FromDigits /@ Flatten /@ Rest[FoldList[Append, {}, IntegerDigits[Range[10], 2]]] (* Eric W. Weisstein, Nov 04 2015 *) PROG (Python) from itertools import count, islice def agen(s=""): yield from (int(s:=s+bin(n)[2:]) for n in count(0)) print(list(islice(agen(), 13))) # Michael S. Branicky, Feb 17 2023 (Python) from functools import reduce def A058935(n): return int(bin(reduce(lambda i, j:(i<

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Last modified July 22 20:14 EDT 2024. Contains 374540 sequences. (Running on oeis4.)