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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 February 18 04:48 EST 2020. Contains 332011 sequences. (Running on oeis4.)