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 A329877 Lexicographically earliest sequence of positive integers such that for n > 1, the concatenation of a(n), a(n-1), ..., a(1), in binary, is a prime number. 1
 1, 1, 1, 2, 4, 3, 7, 10, 18, 1, 13, 5, 2, 42, 3, 3, 22, 18, 23, 15, 29, 33, 23, 17, 5, 33, 3, 134, 94, 84, 6, 57, 103, 13, 92, 63, 90, 60, 156, 39, 10, 108, 114, 65, 78, 67, 52, 57, 11, 21, 114, 79, 366, 128, 76, 22, 382, 36, 88, 34, 68, 110, 2, 72, 14, 28 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,4 COMMENTS This sequence is a binary variant of A329876. For any n > 0, the binary concatenation of a(n+1) and A329875(n) gives A329875(n+1). LINKS Table of n, a(n) for n=1..66. EXAMPLE The first terms, alongside their binary representations and the corresponding concatenations, are: n a(n) bin(a(n)) bin(A329875(n)) -- ---- --------- ----------------------- 1 1 1 1 2 1 1 11 3 1 1 111 4 2 10 10111 5 4 100 10010111 6 3 11 1110010111 7 7 111 1111110010111 8 10 1010 10101111110010111 9 18 10010 1001010101111110010111 10 1 1 11001010101111110010111 PROG (PARI) print1 (v=1); for (n=2, 69, s=(b=2)^#digits(v, b); for (k=1, oo, if (isprime(v+=s), print1 (", "k); break))) CROSSREFS See A329875 for the corresponding concatenations. Cf. A329876. Sequence in context: A207633 A177877 A090568 * A223625 A166017 A257504 Adjacent sequences: A329874 A329875 A329876 * A329878 A329879 A329880 KEYWORD nonn,base AUTHOR Rémy Sigrist, Nov 23 2019 STATUS approved

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Last modified September 14 06:05 EDT 2024. Contains 375911 sequences. (Running on oeis4.)