1001010011

Appears in sequences

• Primes consisting only of digits 0 and 1 occurring with equal frequency.at n=6A087510
• Sequence of balanced, multiplicative binary words, starting with a(1)=1, a(2)=10; for j > 2, if j is a prime, then a(j) is obtained by appending 0 at the end of a(j-1); otherwise, a(j) is obtained by appending a single digit at the end of a(j-1) such that the new word is multiplicative, but if the obtained a(j) is not balanced, then we change the digit at the rightmost possible prime position (and, eventually, some digits at following nonprime positions to maintain multiplicativity) so that a(j) becomes balanced.at n=9A351386
• Primes made up of 0's and five 1's only.at n=19A383918