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.

User: J. W. Helkenberg

J. W. Helkenberg's wiki page.

J. W. Helkenberg has authored 35 sequences. Here are the ten most recent ones:

A255345 Numbers n such that 90n + 31 is a Mersenne prime.

Original entry on oeis.org

0, 1456, 6877444662696557082772912, 76275529557006774610910008878682146858549281112703393437716260657617146482196178356917329340682828388636625682127565089301355422219073820139711425456833968
Offset: 1

Author

J. W. Helkenberg, Feb 21 2015

Keywords

Comments

Always an even number. Aside from the first term, appears to always have a last digit of 2, 4, 6 or 8. n for M3, M6, M10 and M13 are represented here, while n for M19, M21, M22 are too large for this list.

Crossrefs

Cf. A000668. Subsequence of A201819. Shares at least one term (0) with A224856.

A224889 Numbers n such that 90n + 91 is prime.

Original entry on oeis.org

1, 2, 5, 6, 8, 10, 12, 16, 17, 19, 23, 24, 25, 27, 30, 32, 33, 36, 38, 40, 44, 46, 50, 53, 54, 61, 64, 67, 68, 69, 71, 72, 73, 75, 83, 85, 88, 89, 90, 93, 95, 96, 97, 99, 100, 101, 106, 107, 108, 109, 116, 118, 120, 122, 123, 124, 129, 132, 135, 137, 138, 139
Offset: 1

Author

J. W. Helkenberg, Jul 24 2013

Keywords

Comments

Equals A181732 - 1.

Programs

  • Mathematica
    Select[Range[0, 400], PrimeQ[90# +91]&]
  • PARI
    isA224889(n) = isprime(90*n + 91) \\ Michael B. Porter, Jul 28 2013

A224859 Numbers n such that 90*n + 47 and 90*n + 49 are twin primes.

Original entry on oeis.org

1, 2, 9, 16, 18, 22, 29, 38, 39, 43, 50, 51, 87, 95, 107, 108, 109, 111, 121, 123, 134, 137, 143, 144, 155, 160, 162, 176, 178, 193, 195, 199, 200, 227, 230, 233, 237, 239, 240, 241, 247, 248, 251, 261, 262, 277, 304, 314, 324, 326, 328, 338, 339, 352, 363, 370
Offset: 1

Author

J. W. Helkenberg, Jul 22 2013

Keywords

Comments

All matching entries for A201734 and A201818 are twin primes.

Crossrefs

Programs

  • Mathematica
    Select[Range[0, 499], PrimeQ[90# + 47] && PrimeQ[90# + 49] &] (* copied from: Alonso del Arte, Jul 22 2013 *)
    Select[Range[500],AllTrue[90#+{47,49},PrimeQ]&] (* The program uses the AllTrue function from Mathematica version 10 *) (* Harvey P. Dale, Oct 18 2015 *)

Formula

A201734 intersect A201818.

A224865 Numbers n such that 90*n + 89 and 90*n + 91 are twin primes.

Original entry on oeis.org

1, 2, 8, 17, 25, 30, 32, 36, 44, 46, 64, 69, 72, 73, 83, 88, 97, 99, 106, 107, 116, 118, 120, 122, 123, 129, 132, 135, 151, 184, 186, 190, 198, 205, 211, 220, 233, 239, 253, 255, 262, 282, 296, 305, 314, 317, 331, 342, 347, 352, 365, 374, 382, 384, 391, 396, 409
Offset: 1

Author

J. W. Helkenberg, Jul 22 2013

Keywords

Crossrefs

Formula

A202116 INTERSECT A181732+1; A202116 INTERSECT A224889

A224864 Numbers n such that 90*n + 77 and 90*n + 79 are twin primes.

Original entry on oeis.org

3, 6, 15, 17, 18, 19, 20, 24, 29, 41, 45, 46, 60, 62, 68, 75, 82, 83, 89, 94, 95, 104, 111, 115, 122, 130, 146, 148, 152, 159, 169, 173, 174, 179, 199, 215, 218, 223, 227, 236, 239, 244, 255, 267, 276, 288, 305, 334, 353, 355, 356, 358, 369, 375, 381, 393, 398
Offset: 1

Author

J. W. Helkenberg, Jul 22 2013

Keywords

Crossrefs

Programs

  • Mathematica
    Select[Range[0, 499], PrimeQ[90# + 77] && PrimeQ[90# + 79] &] (* copied from: Alonso del Arte, Jul 22 2013 *)
    Select[Range[500],AllTrue[90#+{77,79},PrimeQ]&] (* Harvey P. Dale, Mar 19 2023 *)

Formula

A201822 INTERSECTS A202112.

A224862 Numbers n such that 90*n + 71 and 90*n + 73 are twin primes.

Original entry on oeis.org

0, 4, 5, 9, 11, 12, 20, 23, 28, 39, 40, 42, 49, 54, 55, 62, 63, 72, 103, 104, 114, 133, 154, 161, 173, 174, 181, 182, 184, 187, 202, 205, 215, 221, 224, 230, 238, 249, 250, 257, 258, 261, 263, 264, 270, 291, 296, 298, 308, 338, 342, 345, 348, 361, 364, 389, 394
Offset: 1

Author

J. W. Helkenberg, Jul 22 2013

Keywords

Crossrefs

Programs

  • Mathematica
    Select[Range[0, 499], PrimeQ[90# + 71] && PrimeQ[90# + 73] &] (* copied from: Alonso del Arte, Jul 22 2013 *)

Formula

A202129 INTERSECTS A195993.

A224856 Numbers n such that 90*n + 29 and 90*n + 31 are twin primes.

Original entry on oeis.org

0, 6, 7, 11, 14, 28, 30, 33, 37, 39, 47, 53, 61, 65, 74, 75, 76, 77, 84, 88, 91, 110, 128, 139, 152, 158, 170, 179, 180, 194, 195, 201, 215, 216, 228, 229, 251, 271, 282, 305, 308, 312, 334, 336, 345, 362, 366, 368, 370, 373, 383, 384, 410, 411, 413, 427, 450
Offset: 1

Author

J. W. Helkenberg, Jul 22 2013

Keywords

Crossrefs

Programs

  • Maple
    a:= proc(n) option remember; local k; for k from 1+
           `if`(n=1, -1, a(n-1)) while not (isprime(29+(90*k))
            and isprime(31+(90*k))) do od; k
        end:
    seq(a(n), n=1..100);  # Alois P. Heinz, Jul 23 2013
  • Mathematica
    Select[Range[0, 499], PrimeQ[90# + 29] && PrimeQ[90# + 31] &] (* copied from: Alonso del Arte, Jul 22 2013 *)

Formula

A201739 INTERSECT A201819.

A224855 Numbers n such that 90*n + 17 and 90*n + 19 are twin primes.

Original entry on oeis.org

0, 1, 2, 9, 14, 22, 23, 25, 35, 36, 39, 46, 48, 50, 53, 55, 60, 65, 77, 79, 81, 83, 86, 93, 98, 111, 116, 130, 148, 154, 165, 168, 189, 191, 193, 196, 197, 198, 203, 210, 226, 230, 231, 232, 246, 252, 256, 263, 281, 284, 287, 301, 308, 310, 312, 314, 317, 347
Offset: 1

Author

J. W. Helkenberg, Jul 22 2013

Keywords

Comments

All matching entries for A202115 and A196000 are twin primes.

Crossrefs

Programs

  • Mathematica
    Select[Range[0, 499], PrimeQ[90# + 17] && PrimeQ[90# + 19] &] (* Copied from: Alonso del Arte, Jul 22 2013 *)

A224854 Numbers n such that 90*n + 11 and 90*n + 13 are twin prime.

Original entry on oeis.org

0, 1, 2, 3, 5, 7, 9, 12, 16, 19, 23, 30, 31, 36, 47, 49, 58, 61, 68, 75, 80, 92, 100, 103, 105, 112, 114, 124, 126, 134, 135, 136, 140, 152, 159, 162, 173, 192, 199, 210, 213, 217, 222, 227, 233, 239, 240, 255, 278, 281, 288, 290, 303, 313, 346, 350, 357
Offset: 1

Author

J. W. Helkenberg, Jul 22 2013

Keywords

Comments

All matching entries for A201804 and A201816 are twin prime numbers.

Crossrefs

Programs

  • Mathematica
    Select[Range[0, 499], PrimeQ[90# + 11] && PrimeQ[90# + 13] &]

Extensions

Missing terms added from Bruno Berselli, Jul 23 2013

A224857 Numbers n such that 90n + 41 and 90n + 43 are twin primes.

Original entry on oeis.org

0, 3, 11, 14, 16, 21, 23, 26, 37, 38, 42, 44, 45, 47, 52, 60, 74, 75, 81, 91, 98, 100, 114, 131, 142, 144, 152, 154, 156, 177, 178, 185, 196, 200, 201, 203, 213, 219, 220, 222, 233, 235, 245, 247, 250, 284, 296, 298, 299, 306, 310, 317, 318, 319, 322, 333
Offset: 1

Author

J. W. Helkenberg, Jul 22 2013

Keywords

Comments

All matching entries for A202104 and A202105 are twin prime.

Crossrefs

Programs

  • Mathematica
    Select[Range[0, 499], PrimeQ[90# + 41] && PrimeQ[90# + 43] &] (* Alonso del Arte, Jul 22 2013 *)

Extensions

More terms from Alonso del Arte, Jul 22 2013