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.

A099081 Numbers k such that 1.2. ... .k-1.k + 1 is prime (where dot between numbers means concatenation).

Original entry on oeis.org

1, 2, 6, 30, 88
Offset: 1

Views

Author

Farideh Firoozbakht, Oct 23 2004

Keywords

Comments

a(6) > 25000. - Michael S. Branicky, Sep 13 2024

Examples

			6 is in the sequence because 123456+1 is prime.
		

Crossrefs

Programs

  • Mathematica
    f[n_] := Block[{p = 0, k = 1}, While[k <= n, p = 10^Floor[ Log[10, k] + 1]p + k; k++ ]; PrimeQ[p + 1]]; Do[ If[ f[n], Print[n]], {n, 1000}] (* Robert G. Wilson v, Nov 01 2004 *)

A099083 Numbers k such that 1.2. ... .k-1.k - 2 is prime (where dot between numbers means concatenation).

Original entry on oeis.org

5, 31, 103, 111, 119, 201
Offset: 1

Views

Author

Farideh Firoozbakht, Nov 03 2004

Keywords

Comments

Each term is odd and next term is greater than 2200.
Any further terms exceed 13000. - Lucas A. Brown, Mar 06 2024
Any further terms exceed 30000. - Michael S. Branicky, Sep 13 2024

Examples

			31 is in the sequence because 12345678910111213141516171819202122232425262728293031 - 2 is prime.
		

Crossrefs

A099084 Numbers k such that 1.2. ... .k-1.k + 4 is a prime (dot between numbers means concatenation).

Original entry on oeis.org

1, 3, 27, 663, 6919
Offset: 1

Views

Author

Farideh Firoozbakht, Nov 03 2004

Keywords

Comments

Each term is odd and next term is greater than 2500. Prime corresponding to the next term has more than 8900 digits. Number of digits of primes corresponding to the four known terms of this sequence are respectively 1,3,45 & 1881.
Next term is greater than 25000. - Michael S. Branicky, Sep 12 2024

Examples

			27 is in the sequence because 123456789101112131415161718192021222324252627 + 4 is a prime.
		

Crossrefs

Extensions

a(5) from Michael S. Branicky, Jun 20 2023
Showing 1-3 of 3 results.