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.

Showing 1-3 of 3 results.

A262298 Primes in A262572.

Original entry on oeis.org

13, 134567891011121314151617181920212223242526272829303132333435363738394041
Offset: 1

Views

Author

N. J. A. Sloane, Sep 25 2015

Keywords

Comments

Three more terms are known, but are too large to show here. See A262555 for details. - N. J. A. Sloane, Oct 09 2015

Crossrefs

See A262300 for more about this problem.

Programs

  • Mathematica
    Select[DeleteDuplicates[Table[FromDigits[Flatten[IntegerDigits[Complement[Range[n], {2}]]]], {n, 50}]], PrimeQ[#] & ](* Robert Price, Nov 05 2018 *)

A262571 Concatenation of the numbers from 2 to n.

Original entry on oeis.org

2, 23, 234, 2345, 23456, 234567, 2345678, 23456789, 2345678910, 234567891011, 23456789101112, 2345678910111213, 234567891011121314, 23456789101112131415, 2345678910111213141516, 234567891011121314151617, 23456789101112131415161718, 2345678910111213141516171819
Offset: 2

Views

Author

N. J. A. Sloane, Sep 25 2015

Keywords

Crossrefs

For primes in this sequence see A089987.
See A262300 for more about this problem.

Programs

  • Magma
    [Seqint(Reverse(&cat[Reverse(Intseq(k)): k in [2..n]])): n in [2..20]]; // Vincenzo Librandi, Oct 29 2018
    
  • Mathematica
    Table[FromDigits[Flatten[IntegerDigits[Range[2, n]]]], {n, 2, 19}]  (* Robert Price, Oct 28 2018 *)
  • Python
    def a(n): return int("".join(map(str, range(2, n+1))))
    print([a(n) for n in range(2, 20)]) # Michael S. Branicky, Feb 23 2021

A262555 Numbers n such that the concatenation of the decimal numbers 1 through n, but omitting 2, is a prime.

Original entry on oeis.org

3, 41, 103, 1713, 2769
Offset: 1

Views

Author

N. J. A. Sloane, Oct 09 2015

Keywords

Comments

The corresponding primes are the primes in A262572. Probabilistic arguments suggest the sequence is infinite.
a(6) > 10000, if it exists. - Robert Price, Nov 04 2018

Examples

			The first two terms correspond to the primes 13 and 134567891011121314151617181920212223242526272829303132333435363738394041 (see A262298).
a(3) corresponds to a prime ending in 103, with 200 digits, a(4) to  a probable prime ending in 1713, with 5744 digits, and a(5) to a probable prime ending in 2769, with 9968 digits. These three terms were found by _David Broadhurst_ on Oct 09 2015.
		

Crossrefs

Showing 1-3 of 3 results.