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.

A153144 Numbers n such that 2*n+19 is not a prime.

Original entry on oeis.org

1, 3, 4, 7, 8, 10, 13, 15, 16, 18, 19, 22, 23, 25, 28, 29, 31, 33, 34, 36, 37, 38, 40, 43, 46, 48, 49, 50, 51, 52, 53, 55, 57, 58, 61, 62, 63, 64, 67, 68, 70, 71, 73, 75, 76, 78, 79, 82, 83, 84, 85, 88, 91, 92, 93, 94, 95, 97, 98, 99, 100, 101
Offset: 1

Views

Author

Vincenzo Librandi, Dec 19 2008

Keywords

Crossrefs

Numbers n such that 2n+k is not prime: A047845 (k=1), A153238 (k=3), A153052 (k=5), A153053 (k=7), A153723 (k=9), A153083 (k=11), A153082 (k=13), A241571 (k=15), A241572 (k=17), this sequence (k=19).

Programs

  • Magma
    [n: n in [1..120] | not IsPrime(2*n + 19)]; // Vincenzo Librandi, Dec 13 2012
  • Mathematica
    Select[Range[0, 500], !PrimeQ[2# + 19] &] (* Vincenzo Librandi, Dec 13 2012 *)

A154680 Triangle read by rows where T(m,n)=2*m*n + m + n - 2.

Original entry on oeis.org

2, 5, 10, 8, 15, 22, 11, 20, 29, 38, 14, 25, 36, 47, 58, 17, 30, 43, 56, 69, 82, 20, 35, 50, 65, 80, 95, 110, 23, 40, 57, 74, 91, 108, 125, 142, 26, 45, 64, 83, 102, 121, 140, 159, 178, 29, 50, 71, 92, 113, 134, 155, 176, 197, 218, 32, 55, 78, 101, 124, 147, 170, 193, 216, 239, 262
Offset: 1

Views

Author

Vincenzo Librandi, Jan 18 2009

Keywords

Comments

All terms are in A153052.
First column: A016789; second column: 5*A000027; third column: A016993; fourth column: A017185. - Vincenzo Librandi, Nov 18 2012

Examples

			Triangle begins:
2;
5,  10;
8,  15, 22;
11, 20, 29, 38;
14, 25, 36, 47, 58;
17, 30, 43, 56, 69,  82;
20, 35, 50, 65, 80,  95,  110;
23, 40, 57, 74, 91,  108, 125, 142;
26, 45, 64, 83, 102, 121, 140, 159, 178;
29, 50, 71, 92, 113, 134, 155, 176, 197, 218; etc.
		

Crossrefs

Programs

  • Magma
    [2*n*k+n+k-2: k in [1..n], n in [1..11]]; // Vincenzo Librandi, Nov 18 2012
  • Mathematica
    Flatten[Table[Floor[2 n m + m + n - 2], {n, 1, 16}, {m, n}]] (* Vincenzo Librandi, May 14 2012 *)

A155723 Numbers k such that 2*k + 9 is not prime.

Original entry on oeis.org

0, 3, 6, 8, 9, 12, 13, 15, 18, 20, 21, 23, 24, 27, 28, 30, 33, 34, 36, 38, 39, 41, 42, 43, 45, 48, 51, 53, 54, 55, 56, 57, 58, 60, 62, 63, 66, 67, 68, 69, 72, 73, 75, 76, 78, 80, 81, 83, 84, 87, 88, 89, 90, 93, 96, 97, 98, 99, 100, 102, 103, 104, 105, 106, 108, 111, 113, 114
Offset: 1

Views

Author

Vincenzo Librandi, Jan 25 2009

Keywords

Comments

2*A155724(m,n) + 9 = (2n+1)*(2m+1) are not prime and create entries of this form. Also, one less than the associate entry in A153053, two less than the associated A153052. - R. J. Mathar, Jan 05 2011

Examples

			Distribution of the terms in the following triangular array:
   0;
   3,  8;
   6, 13, 20;
   9, 18, 27,  36;
  12, 23, 34,  45,  56;
  15, 28, 41,  54,  67,  80;
  18, 33, 48,  63,  78,  93, 108;
  21, 38, 55,  72,  89, 106, 123, 140;
  24, 43, 62,  81, 100, 119, 138, 157, 176;
  27, 48, 69,  90, 111, 132, 153, 174, 195, 216;
  30, 53, 76,  99, 122, 145, 168, 191, 214, 237, 260;
  33, 58, 83, 108, 133, 158, 183, 208, 233, 258, 283, 308;
  36, 63, 90, 117, 144, 171, 198, 225, 252, 279, 306, 333, 360;
  etc.
the values of (2*h*k + k + h - 4) with h >= k >= 1. - _Vincenzo Librandi_, Jan 16 2013
		

Crossrefs

Programs

Showing 1-3 of 3 results.