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.

Previous Showing 11-12 of 12 results.

A321363 Single-digit odd primes and primes whose decimal expansion has the form iii...ij, where i and j are distinct odd digits.

Original entry on oeis.org

3, 5, 7, 13, 17, 19, 31, 37, 53, 59, 71, 73, 79, 97, 113, 331, 337, 557, 773, 991, 997, 1117, 3331, 5557, 11113, 11117, 11119, 33331, 77773, 99991, 111119, 333331, 333337, 555557, 3333331, 9999991, 11111117, 11111119, 33333331, 55555553, 55555559, 111111113
Offset: 1

Views

Author

Enrique Navarrete, Nov 07 2018

Keywords

Crossrefs

Programs

  • Mathematica
    s={3, 5, 7}; Do[Do[Do[k=m*(10^n-1)/9*10+j; If[j!=m && PrimeQ[k], AppendTo[s, k]], {j,1,9,2}], {m,1,9,2}], {n,1,8}]; s (* Amiram Eldar, Nov 08 2018 *)
  • PARI
    lista(nn) = {print1("3, 5, 7, "); for (n=1, nn, r = (10^n-1)/9; forstep (i=1, 9, 2, forstep(j=1, 9, 2, if (i != j, if (isprime(p=fromdigits(concat(digits(r*i), j))), print1(p, ", "));););););} \\ Michel Marcus, Nov 28 2018

Extensions

a(35)-a(42) from Amiram Eldar, Nov 08 2018

A379137 Numbers k such that a nonzero proper substring of the concatenation, in decreasing order, of the prime factors of k (without multiplicity) is divisible by k.

Original entry on oeis.org

66, 95, 132, 995, 9995, 18733, 85713, 93115, 131131, 197591, 316406, 380627, 632812, 999995, 2897105, 4285713, 7231913, 8691315, 58730137, 99999995, 169035711, 507107133, 3005755566, 4870313015, 6011511132, 9023163631, 9091190911
Offset: 1

Views

Author

Jean-Marc Rebert, Dec 15 2024

Keywords

Comments

507107133, 4870313015, and all numbers of the form 5*A055558(k), k>=1, are terms (cf. A378950). - Michael S. Branicky, Dec 16 2024

Examples

			66 is a term as 66 = 2 * 3 * 11 -> 1132 contains the substring 132, which is equal to 2 * 66 and is divisible by 66.
		

Crossrefs

Extensions

a(19)-a(20) from Michael S. Branicky, Dec 16 2024
a(21)-a(22) from Jean-Marc Rebert, Dec 16 2024
Previous Showing 11-12 of 12 results.