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.

A155514 Larger of emirps (pairs) with digits 0 and 1 only.

Original entry on oeis.org

10111001, 111001001, 1010110001, 1011000101, 1101001001, 1111100101, 10100101001, 11000000101, 11010011101, 11100000101, 100111101001, 101010000001, 101010111001, 110000000101, 110011010101, 110101011001
Offset: 1

Views

Author

Lekraj Beedassy, Jan 23 2009

Keywords

Crossrefs

Programs

  • Mathematica
    emrpQ[n_]:=Module[{idn=IntegerDigits[n],ridn},ridn=Reverse[idn]; idn!=ridn &&PrimeQ[n]&&PrimeQ[FromDigits[ridn]]]; lrgr[n_]:=If[nHarvey P. Dale, Oct 01 2012 *)

Extensions

First missed entry added. Lekraj Beedassy, May 30 2009
More terms from Sean A. Irvine, Mar 04 2010

A155513 Lesser of emirps (pairs) with digits 0 and 1 only.

Original entry on oeis.org

10011101, 100100111, 1000110101, 1001001011, 1010001101, 1010011111, 10010100101, 10100000011, 10100000111, 10111001011, 100000010101, 100000011011, 100101110111, 100101111001, 100110101011, 100110101111
Offset: 1

Views

Author

Lekraj Beedassy, Jan 23 2009

Keywords

Crossrefs

Extensions

First missed entry added. Lekraj Beedassy, May 30 2009
More terms from Sean A. Irvine, Mar 04 2010

A209620 Emirps that become their own reversals when rotated through 180 degrees (including on calculator display).

Original entry on oeis.org

1021, 1151, 1181, 1201, 1511, 1811, 10151, 11551, 15101, 15511, 100511, 101281, 102181, 102551, 105211, 105251, 108881, 110051, 110221, 110281, 110881, 111211, 111821, 112111, 112181, 112501, 115001, 115021, 118081, 120121, 120511, 121021, 121151, 122011
Offset: 1

Views

Author

Lekraj Beedassy, Mar 21 2012

Keywords

Comments

Such emirps have end digits 1 and use only digits 0, 1, 2, 5, 8, and the sequence naturally includes A155512, the emirps with only digits 0 and 1.

Examples

			1181 of this sequence, for instance, belongs to the emirp pair (1181, 1811), where each member is a 180-degree rotation of the other; similarly for the term 112501 of this sequence, that belongs to the emirp pair (105211, 112501) and which, displayed on a calculator and turned upside-down, becomes its own reversal.
		

Crossrefs

Cf. A006567.

Programs

  • Mathematica
    t1 = {0, 1, 2, 5, 8}; okQ[n_] := Module[{d = IntegerDigits[n], r}, r = Reverse[d];  r != d && Complement[d, t1] == {} && PrimeQ[FromDigits[r]]]; Select[Prime[Range[100000]], okQ] (* T. D. Noe, Apr 24 2012 *)
Showing 1-3 of 3 results.