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 11-19 of 19 results.

A157974 Primes p such that 12*p + 11 is also prime.

Original entry on oeis.org

3, 5, 13, 19, 29, 31, 41, 53, 59, 61, 71, 73, 101, 109, 113, 131, 151, 173, 199, 211, 223, 239, 241, 251, 263, 283, 293, 313, 389, 409, 419, 439, 449, 491, 503, 521, 523, 571, 593, 631, 641, 643, 659, 673, 701, 733, 769, 809, 811, 823, 839, 853, 883, 929, 953
Offset: 1

Views

Author

Vladimir Joseph Stephan Orlovsky, Mar 10 2009

Keywords

Links

Crossrefs

Cf. A136082, A136083, A023213, A023221, A023235, A023240.

Programs

  • Magma
    [n: n in [0..1000] | IsPrime(n) and IsPrime(12*n + 11)]; // Vincenzo Librandi, Feb 03 2014
  • Mathematica
    q=11;lst={};Do[p=Prime[n];If[PrimeQ[(q+1)*p+q],AppendTo[lst,p]],{n,6!}];lst
Select[Prime[Range[1000]], PrimeQ[12 # + 11]&] (* Vincenzo Librandi, Feb 03 2014 *)

A023267 Primes that remain prime through 2 iterations of function f(x) = 9x + 8.

Original entry on oeis.org

7, 11, 19, 61, 97, 107, 131, 181, 251, 271, 397, 401, 419, 467, 557, 601, 677, 727, 907, 929, 1129, 1297, 1439, 1481, 1609, 1699, 1747, 1901, 1931, 2027, 2029, 2099, 2221, 2267, 2357, 2377, 2557, 2617, 2879, 3001, 3019, 3121, 3259, 3371, 3407, 3457, 3527
Offset: 1

Views

Author

David W. Wilson

Keywords

Comments

Primes p such that 9*p+8 and 81*p+80 are also primes. - Vincenzo Librandi, Aug 04 2010

Links

Crossrefs

Subsequence of A023235.

Programs

  • Magma
    [n: n in [1..100000] | IsPrime(n) and IsPrime(9*n+8) and IsPrime(81*n+80)] // Vincenzo Librandi, Aug 04 2010

A157975 Primes p such that 16*p + 15 is also prime.

Original entry on oeis.org

2, 7, 11, 13, 23, 29, 37, 53, 61, 67, 71, 79, 89, 97, 103, 109, 113, 131, 137, 139, 149, 167, 179, 197, 211, 223, 257, 277, 293, 313, 317, 337, 379, 383, 397, 419, 431, 439, 443, 467, 571, 601, 617, 631, 641, 643, 653, 659, 677, 691, 719, 733, 739, 743, 809
Offset: 1

Views

Author

Vladimir Joseph Stephan Orlovsky, Mar 10 2009

Keywords

Links

Crossrefs

Cf. A136082, A136083, A023213, A023221, A023235, A023240, A157974, A136083, A136084, A089440, A136085

Programs

  • Magma
    [n: n in [0..1000] | IsPrime(n) and IsPrime(16*n + 15)]; // Vincenzo Librandi, Feb 03 2014
  • Mathematica
    q=15;lst={};Do[p=Prime[n];If[PrimeQ[(q+1)*p+q],AppendTo[lst,p]],{n,6!}];lst
Select[Prime[Range[1000]], PrimeQ[16 # + 15]&] (* Vincenzo Librandi, Feb 03 2014 *)

A157978 Primes p such that 4*p - 3 is also a prime.

Original entry on oeis.org

2, 5, 11, 19, 23, 29, 59, 61, 71, 79, 89, 101, 103, 109, 113, 131, 149, 151, 191, 193, 233, 239, 263, 283, 313, 331, 353, 359, 373, 389, 401, 431, 439, 479, 499, 521, 523, 541, 569, 571, 599, 619, 631, 653, 659, 673, 683, 701, 709, 739, 743, 751, 761, 773, 829
Offset: 1

Views

Author

Vladimir Joseph Stephan Orlovsky, Mar 10 2009

Keywords

Links

Crossrefs

Cf. A136082, A136083, A023213, A023221, A023235, A023240, A157974, A136083, A136084, A136085, A136086, A136087, A089440, A157975, A157976, A157977.

Programs

  • Magma
    [n: n in [0..2000] | IsPrime(n) and IsPrime(4*n - 3)]; // Vincenzo Librandi, Feb 03 2014
  • Mathematica
    q=3;lst={};Do[p=Prime[n];If[PrimeQ[(q+1)*p-q],AppendTo[lst,p]],{n,6!}];lst
Select[Prime[Range[1000]],PrimeQ[4 # - 3]&] (* Vincenzo Librandi, Feb 03 2014 *)

A023298 Primes that remain prime through 3 iterations of function f(x) = 9x + 8.

Original entry on oeis.org

11, 61, 251, 397, 467, 727, 907, 1747, 1901, 2221, 2617, 3121, 3527, 3581, 4001, 4099, 4211, 4759, 5231, 5717, 6277, 6661, 6689, 7237, 7877, 8117, 8171, 8581, 9371, 9587, 11171, 12457, 12539, 13109, 14221, 15187, 15731, 16069, 16477, 16979, 17117, 17491
Offset: 1

Views

Author

David W. Wilson

Keywords

Comments

Primes p such that 9*p+8, 81*p+80, and 729*p+728 are also primes. - Vincenzo Librandi, Aug 04 2010

Links

Crossrefs

Subsequence of A023235 and A023267.

Programs

  • Magma
    [n: n in [1..450000] | IsPrime(n) and IsPrime(9*n+8) and IsPrime(81*n+80) and IsPrime(729*n+728)]; // Vincenzo Librandi, Aug 04 2010

A157976 Primes p such that 18*p + 17 is also prime.

Original entry on oeis.org

2, 3, 5, 13, 19, 23, 37, 47, 53, 67, 79, 83, 89, 103, 109, 149, 157, 167, 193, 229, 233, 257, 263, 277, 313, 347, 349, 383, 389, 419, 439, 457, 467, 487, 499, 523, 563, 569, 593, 599, 619, 677, 719, 727, 769, 773, 823, 829, 857, 863, 877, 937, 1013, 1039, 1049
Offset: 1

Views

Author

Vladimir Joseph Stephan Orlovsky, Mar 10 2009

Keywords

Links

Crossrefs

Cf. A136082, A136083, A023213, A023221, A023235, A023240, A157974, A136083, A136084, A136085, A136086, A136087, A089440, A157975.

Programs

  • Magma
    [n: n in [0..1100] | IsPrime(n) and IsPrime(18*n + 17)]; // Vincenzo Librandi, Feb 03 2014
  • Mathematica
    q=17;lst={};Do[p=Prime[n];If[PrimeQ[(q+1)*p+q],AppendTo[lst,p]],{n,6!}];lst
Select[Prime[Range[1000]], PrimeQ[18 # + 17]&] (* Vincenzo Librandi, Feb 03 2014 *)

A157977 Primes p such that 20*p + 19 is also prime.

Original entry on oeis.org

2, 3, 11, 17, 23, 29, 41, 71, 101, 149, 167, 233, 239, 251, 263, 269, 281, 293, 317, 347, 353, 401, 449, 461, 491, 503, 557, 563, 569, 647, 683, 743, 797, 857, 941, 947, 953, 977, 1019, 1031, 1091, 1103, 1151, 1163, 1193, 1217, 1283, 1289, 1319, 1361, 1373
Offset: 1

Views

Author

Vladimir Joseph Stephan Orlovsky, Mar 10 2009

Keywords

Links

Crossrefs

Cf. A136082, A136083, A023213, A023221, A023235, A023240, A157974, A136083, A136084, A136085, A136086, A136087, A089440, A157975, A157976.

Programs

  • Magma
    [n: n in [0..2000] | IsPrime(n) and IsPrime(20*n + 19)]; // Vincenzo Librandi, Feb 03 2014
  • Mathematica
    q=19;lst={};Do[p=Prime[n];If[PrimeQ[(q+1)*p+q],AppendTo[lst,p]],{n,6!}];lst
Select[Prime[Range[250]],PrimeQ[20#+19]&] (* Harvey P. Dale, Jul 04 2011 *)

A023326 Primes that remain prime through 4 iterations of the function f(x) = 9x + 8.

Original entry on oeis.org

397, 467, 907, 1747, 1901, 4099, 7237, 8117, 8581, 9371, 9587, 23539, 28081, 32611, 36899, 41729, 54767, 55207, 57601, 61991, 64997, 66449, 73061, 74821, 75527, 86291, 115021, 118717, 125659, 126067, 134287, 140677, 147011, 148147, 151531, 171539
Offset: 1

Views

Author

David W. Wilson

Keywords

Comments

Primes p such that 9*p+8, 81*p+80, 729*p+728 and 6561*p+6560 are also primes. - Vincenzo Librandi, Aug 04 2010

Links

Crossrefs

Subsequence of A023235, A023267, and A023298.

Programs

  • Magma
    [n: n in [1..5000000] | IsPrime(n) and IsPrime(9*n+8) and IsPrime(81*n+80) and IsPrime(729*n+728) and IsPrime(6561*n+6560)] // Vincenzo Librandi, Aug 04 2010
  • Mathematica
    Select[Prime[Range[16000]],AllTrue[Rest[NestList[9#+8&,#,4]],PrimeQ]&] (* The program uses the AllTrue function from Mathematica version 10 *) (* Harvey P. Dale, Jun 25 2017 *)

A023354 Primes that remain prime through 5 iterations of function f(x) = 9x + 8.

Original entry on oeis.org

4099, 8117, 9587, 36899, 73061, 75527, 214771, 240197, 350219, 385709, 453199, 483649, 501029, 556607, 575119, 616991, 701497, 724597, 880067, 961069, 1230311, 1342501, 1376197, 1558811, 1566847, 1613707, 2450779, 2483711, 2536379, 2598157
Offset: 1

Views

Author

David W. Wilson

Keywords

Comments

Primes p such that 9*p+8, 81*p+80, 729*p+728, 6561*p+6560 and 59049*p+59048 are also primes. - Vincenzo Librandi, Aug 05 2010

Links

Crossrefs

Subsequence of A023235, A023267, A023298, and A023326.

Programs

  • Magma
    [n: n in [1..19000000] | IsPrime(n) and IsPrime(9*n+8) and IsPrime(81*n+80) and IsPrime(729*n+728) and IsPrime(6561*n+6560) and IsPrime(59049*n+59048)] // Vincenzo Librandi, Aug 05 2010
Previous Showing 11-19 of 19 results.

Started in 1964 by Neil J. A. Sloane | Maintained by The OEIS Foundation Inc.

Content is available under The OEIS End-User License Agreement.