cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A329876 Lexicographically earliest sequence of positive integers such that for n > 1, the concatenation of a(n), a(n-1), ..., a(1), in decimal, is a prime number.

Original entry on oeis.org

1, 1, 2, 4, 3, 2, 4, 15, 3, 9, 20, 4, 3, 11, 31, 6, 24, 23, 82, 11, 21, 3, 22, 20, 63, 19, 56, 22, 17, 42, 105, 31, 2, 4, 27, 96, 42, 5, 72, 19, 20, 22, 32, 102, 31, 104, 4, 24, 95, 21, 13, 12, 9, 38, 3, 58, 38, 78, 31, 119, 31, 45, 107, 42, 12, 9, 21, 66, 181
Offset: 1

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Author

Rémy Sigrist, Nov 23 2019

Keywords

Comments

For any n > 0, the concatenation of a(n+1) and A053582(n) gives A053582(n+1).

Crossrefs

See A053582 for the corresponding concatenations.

Programs

  • PARI
    print1 (v=1); for (n=2, 69, s=(b=10)^#digits(v,b); for (k=1, oo, if (isprime(v+=s), print1 (", "k); break)))

Formula

The first terms, alongside their concatenations, are:
n a(n) A053582(n)
-- ---- -----------
1 1 1
2 1 11
3 2 211
4 4 4211
5 3 34211
6 2 234211
7 4 4234211
8 15 154234211
9 3 3154234211
10 9 93154234211