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 A268483 Primes p such that the numbers of primes not exceeding p in A268476 and A268477 are equal. 2
 13, 43, 53, 139, 151, 193, 199, 223, 229, 239, 317, 397, 4751, 4889, 4909, 4937, 4951, 4967, 5011, 5023, 5077, 5087, 5113, 5297, 5351, 5419, 6007, 6053, 6211, 6247, 6301, 6317, 6343, 6857, 9209, 9421, 9473, 9491, 10937, 11047, 11329, 11399, 11423, 11443, 11491 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS In contrast to the analogous sequence for odious and evil primes (A027697, A027699), which, as we conjecture, consists of only primes 3,7,29 (see also our 2007-conjecture in A027697, A027699), here we conjecture that the sequence is infinite. LINKS Peter J. C. Moses, Table of n, a(n) for n = 1..2000 Vladimir Shevelev, Two analogs of Thue-Morse sequence, arXiv:1603.04434 [math.NT], 2016. MATHEMATICA lim = 1500; s = Select[Prime@ Range@ lim, EvenQ@ Length[Split@ IntegerDigits[#, 2] /. {0, ___} -> Nothing] &]; t = Select[Prime@ Range@ lim, OddQ@ Length[Split@ IntegerDigits[#, 2] /. {0, ___} -> Nothing] &] ; Select[Prime@ Range@ lim, Count[s, p_ /; p <= #] == Count[t, q_ /; q <= #] &] (* Michael De Vlieger, Feb 08 2016 *) CROSSREFS Cf. A027697, A027699, A130911, A268476, A268477. Sequence in context: A129811 A108545 A136191 * A039318 A146507 A113831 Adjacent sequences: A268480 A268481 A268482 * A268484 A268485 A268486 KEYWORD nonn,base AUTHOR Vladimir Shevelev, Feb 05 2016 EXTENSIONS More terms from Peter J. C. Moses, Feb 05 2016 STATUS approved

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Last modified May 23 22:02 EDT 2024. Contains 372765 sequences. (Running on oeis4.)