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 A129112 Decimal expansion of constant equal to concatenated semiprimes. 0
 4, 6, 9, 1, 0, 1, 4, 1, 5, 2, 1, 2, 2, 2, 5, 2, 6, 3, 3, 3, 4, 3, 5, 3, 8, 3, 9, 4, 6, 4, 9, 5, 1, 5, 5, 5, 7, 5, 8, 6, 2, 6, 5, 6, 9, 7, 4, 7, 7, 8, 2, 8, 5, 8, 6, 8, 7, 9, 1, 9, 3, 9, 4, 9, 5, 1, 0, 6, 1, 1, 1, 1, 1, 5, 1, 1, 8, 1, 1, 9, 1, 2, 1, 1, 2, 2, 1, 2, 3, 1, 2, 9 (list; constant; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Is this, as Copeland and Erdos (1946) showed for the Copeland-Erdos constant, a normal number in base 10? I conjecture that it is, despite the fact that the density of odd semiprimes exceeds the density of even semiprimes. What are the first few digits of the continued fraction of this constant? What are the positions of the first occurrence of n in the continued fraction? What are the incrementally largest terms and at what positions do they occur? Coincides up to n=15 with concatenation of A046368. - M. F. Hasler, Oct 01 2007 Indeed, a theorem of Copeland & Erdős proves that this constant is 10-normal. - Charles R Greathouse IV, Feb 06 2015 LINKS A. H. Copeland and P. Erdős, Note on normal numbers, Bull. Amer. Math. Soc. 52 (1946), pp. 857-860. Eric Weisstein's World of Mathematics, Copeland-Erdos Constant. EXAMPLE 4.691014152122252633343538394649515557586265... MATHEMATICA Flatten[IntegerDigits/@Select[Range[200], PrimeOmega[#]==2&]] (* Harvey P. Dale, Jan 17 2012 *) PROG (PARI) print1(4); for(n=6, 129, if(bigomega(n)==2, d=digits(n); for(i=1, #d, print1(", "d[i])))) \\ Charles R Greathouse IV, Feb 06 2015 CROSSREFS Cf. A001358, A019518, A030168, A033308 = decimal expansion of Copeland-Erdos constant: concatenate primes, A033309-A033311, A129808. Sequence in context: A010478 A106146 A154521 * A239634 A175013 A210616 Adjacent sequences:  A129109 A129110 A129111 * A129113 A129114 A129115 KEYWORD base,cons,easy,nonn AUTHOR Jonathan Vos Post, May 24 2007 STATUS approved

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Last modified August 11 03:22 EDT 2020. Contains 336421 sequences. (Running on oeis4.)