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 1-9 of 9 results.

A240096 Numbers with primitive root 15.

Original entry on oeis.org

2, 4, 13, 19, 23, 26, 29, 37, 38, 41, 46, 47, 58, 73, 74, 82, 83, 89, 94, 97, 101, 107, 139, 146, 149, 151, 157, 166, 167, 169, 178, 193, 194, 199, 202, 214, 227, 263, 269, 271, 278, 281, 298, 302, 313, 314, 334, 337, 338, 347, 361, 373, 379, 383, 386, 389
Offset: 1

Views

Author

Vincenzo Librandi, Apr 01 2014

Keywords

Links

Crossrefs

Cf. numbers with positive primitive root r: A167791 (r=2), A167792 (r=3), A167793 (r=5), A167794 (r=6), A167795 (r=7), A167796 (r=8), A167797 (r=10), A240028 (r=11), A240030 (r=12), A240032 (r=13), A240094 (r=14).
Cf. numbers with negative primitive root r: A167798 (r=-2), A167799 (r=-3), A167800 (r=-4), A167801 (r=-5), A167802 (r=-6), A167803 (r=-7), A167804 (r=-8), A167805 (r=-9), A167806 (r=-10), A240029 (r=-11), A240031 (r=-12), A240093 (r=-13), A240095 (r=-14), A240097 (r=-15).

Programs

  • Mathematica
    pr = 15; Select[Range[2, 500], MultiplicativeOrder[pr, #] == EulerPhi[#] &]
Join[{2,4,13},Select[Range[2,400],PrimitiveRoot[#,15]==15&]] (* Harvey P. Dale, Jun 30 2018 *)

A240100 Numbers with primitive root -17.

Original entry on oeis.org

2, 4, 5, 10, 19, 25, 37, 38, 41, 43, 47, 50, 59, 61, 67, 74, 82, 83, 86, 94, 97, 103, 113, 118, 122, 125, 127, 134, 151, 166, 173, 179, 191, 193, 194, 197, 206, 226, 233, 239, 250, 251, 254, 263, 269, 271, 277, 302, 313, 317, 331, 346, 358, 359, 361, 382
Offset: 1

Views

Author

Vincenzo Librandi, Apr 01 2014

Keywords

Links

Crossrefs

Cf. numbers with positive primitive root r: A167791 (r=2), A167792 (r=3), A167793 (r=5), A167794 (r=6), A167795 (r=7), A167796 (r=8), A167797 (r=10), A240028 (r=11), A240030 (r=12), A240032 (r=13), A240094 (r=14), A240096 (r=15), A240101 (r=17).
Cf. numbers with negative primitive root r: A167798 (r=-2), A167799 (r=-3), A167800 (r=-4), A167801 (r=-5), A167802 (r=-6), A167803 (r=-7), A167804 (r=-8), A167805 (r=-9), A167806 (r=-10), A240029 (r=-11), A240031 (r=-12), A240093 (r=-13), A240095 (r=-14), A240097 (r=-15).

Programs

  • Mathematica
    pr = -17; Select[Range[2, 400], MultiplicativeOrder[pr, #] == EulerPhi[#] &]

A240102 Numbers with primitive root -18.

Original entry on oeis.org

5, 7, 23, 29, 31, 37, 47, 53, 61, 71, 101, 103, 109, 127, 149, 151, 157, 167, 173, 181, 191, 197, 223, 239, 263, 269, 271, 277, 293, 317, 349, 359, 367, 383, 389, 397, 421, 461, 479, 503, 509, 529, 541, 557, 607, 613, 647, 653, 661, 677, 701, 719, 733
Offset: 1

Views

Author

Vincenzo Librandi, Apr 01 2014

Keywords

Links

Crossrefs

Cf. numbers with positive primitive root r: A167791 (r=2), A167792 (r=3), A167793 (r=5), A167794 (r=6), A167795 (r=7), A167796 (r=8), A167797 (r=10), A240028 (r=11), A240030 (r=12), A240032 (r=13), A240094 (r=14), A240096 (r=15), A240101 (r=17), A240103 (r=18).
Cf. numbers with negative primitive root r: A167798 (r=-2), A167799 (r=-3), A167800 (r=-4), A167801 (r=-5), A167802 (r=-6), A167803 (r=-7), A167804 (r=-8), A167805 (r=-9), A167806 (r=-10), A240029 (r=-11), A240031 (r=-12), A240093 (r=-13), A240095 (r=-14), A240097 (r=-15), A240100 (r=-17).

Programs

  • Mathematica
    pr = -18; Select[Range[2, 800], MultiplicativeOrder[pr, #] == EulerPhi[#] &]
  • PARI
    is(n)=if(gcd(n,6)>1, return(0)); my(p=eulerphi(n)); znorder(Mod(-18,n),p)==p \\ Charles R Greathouse IV, Nov 26 2014

A240103 Numbers with primitive root 18.

Original entry on oeis.org

5, 11, 29, 37, 43, 53, 59, 61, 67, 83, 101, 107, 109, 121, 139, 149, 157, 163, 173, 179, 181, 197, 227, 251, 269, 277, 283, 293, 317, 347, 349, 379, 389, 397, 419, 421, 461, 467, 491, 509, 523, 541, 547, 557, 563, 571, 587, 613, 619, 653, 659, 661, 677
Offset: 1

Views

Author

Vincenzo Librandi, Apr 01 2014

Keywords

Links

Crossrefs

Cf. numbers with positive primitive root r: A167791 (r=2), A167792 (r=3), A167793 (r=5), A167794 (r=6), A167795 (r=7), A167796 (r=8), A167797 (r=10), A240028 (r=11), A240030 (r=12), A240032 (r=13), A240094 (r=14), A240096 (r=15), A240101 (r=17).
Cf. numbers with negative primitive root r: A167798 (r=-2), A167799 (r=-3), A167800 (r=-4), A167801 (r=-5), A167802 (r=-6), A167803 (r=-7), A167804 (r=-8), A167805 (r=-9), A167806 (r=-10), A240029 (r=-11), A240031 (r=-12), A240093 (r=-13), A240095 (r=-14), A240097 (r=-15), A240100 (r=-17), A240102 (r=-18).

Programs

  • Mathematica
    pr = 18; Select[Range[2, 800], MultiplicativeOrder[pr, #] == EulerPhi[#] &]
  • PARI
    is(n)=if(gcd(n, 6)>1, return(0)); my(p=eulerphi(n)); znorder(Mod(18, n), p)==p \\ Charles R Greathouse IV, Nov 26 2014

A240101 Numbers with primitive root 17.

Original entry on oeis.org

2, 3, 5, 6, 7, 10, 11, 14, 22, 23, 25, 31, 37, 41, 46, 49, 50, 61, 62, 74, 82, 97, 98, 107, 113, 121, 122, 125, 131, 139, 167, 173, 193, 194, 197, 211, 214, 226, 227, 233, 242, 250, 262, 269, 277, 278, 283, 311, 313, 317, 334, 343, 346, 347, 367, 379, 386
Offset: 1

Views

Author

Vincenzo Librandi, Apr 01 2014

Keywords

Links

Crossrefs

Cf. numbers with positive primitive root r: A167791 (r=2), A167792 (r=3), A167793 (r=5), A167794 (r=6), A167795 (r=7), A167796 (r=8), A167797 (r=10), A240028 (r=11), A240030 (r=12), A240032 (r=13), A240094 (r=14), A240096 (r=15).
Cf. numbers with negative primitive root r: A167798 (r=-2), A167799 (r=-3), A167800 (r=-4), A167801 (r=-5), A167802 (r=-6), A167803 (r=-7), A167804 (r=-8), A167805 (r=-9), A167806 (r=-10), A240029 (r=-11), A240031 (r=-12), A240093 (r=-13), A240095 (r=-14), A240097 (r=-15), A240100 (r=-17).

Programs

  • Mathematica
    pr = 17; Select[Range[2, 400], MultiplicativeOrder[pr, #] == EulerPhi[#] &]

A240104 Numbers with primitive root -19.

Original entry on oeis.org

2, 3, 6, 13, 26, 29, 31, 37, 41, 53, 58, 59, 62, 67, 71, 74, 79, 82, 89, 103, 106, 107, 113, 118, 134, 142, 158, 167, 173, 178, 179, 193, 206, 214, 223, 226, 227, 257, 269, 281, 293, 317, 331, 334, 337, 346, 358, 379, 383, 386, 401, 431, 433, 439, 446, 449
Offset: 1

Views

Author

Vincenzo Librandi, Apr 01 2014

Keywords

Links

Crossrefs

Cf. numbers with positive primitive root r: A167791 (r=2), A167792 (r=3), A167793 (r=5), A167794 (r=6), A167795 (r=7), A167796 (r=8), A167797 (r=10), A240028 (r=11), A240030 (r=12), A240032 (r=13), A240094 (r=14), A240096 (r=15), A240101 (r=17), A240103 (r=18), A240106 (r=19).
Cf. numbers with negative primitive root r: A167798 (r=-2), A167799 (r=-3), A167800 (r=-4), A167801 (r=-5), A167802 (r=-6), A167803 (r=-7), A167804 (r=-8), A167805 (r=-9), A167806 (r=-10), A240029 (r=-11), A240031 (r=-12), A240093 (r=-13), A240095 (r=-14), A240097 (r=-15), A240100 (r=-17), A240102 (r=-18).

Programs

  • Mathematica
    pr = -19; Select[Range[2, 500], MultiplicativeOrder[pr, #] == EulerPhi[#] &]

A240106 Numbers with primitive root 19.

Original entry on oeis.org

2, 4, 7, 11, 13, 14, 22, 23, 26, 29, 37, 41, 43, 46, 47, 53, 58, 74, 82, 83, 86, 89, 94, 106, 113, 121, 139, 163, 166, 173, 178, 191, 193, 226, 239, 242, 251, 257, 263, 269, 278, 281, 293, 311, 317, 326, 337, 346, 347, 359, 367, 382, 386, 401, 419, 433, 443
Offset: 1

Views

Author

Vincenzo Librandi, Apr 01 2014

Keywords

Links

Crossrefs

Cf. numbers with positive primitive root r: A167791 (r=2), A167792 (r=3), A167793 (r=5), A167794 (r=6), A167795 (r=7), A167796 (r=8), A167797 (r=10), A240028 (r=11), A240030 (r=12), A240032 (r=13), A240094 (r=14), A240096 (r=15), A240100 (r=17), A240103 (r=18).
Cf. numbers with negative primitive root r: A167798 (r=-2), A167799 (r=-3), A167800 (r=-4), A167801 (r=-5), A167802 (r=-6), A167803 (r=-7), A167804 (r=-8), A167805 (r=-9), A167806 (r=-10), A240029 (r=-11), A240031 (r=-12), A240093 (r=-13), A240095 (r=-14), A240097 (r=-15), A240100 (r=-17), A240102 (r=-18), A240104 (r=-19).

Programs

  • Mathematica
    pr = 19; Select[Range[2, 500], MultiplicativeOrder[pr, #] == EulerPhi[#] &]

A240107 Numbers with primitive root -20.

Original entry on oeis.org

11, 13, 17, 31, 37, 53, 59, 73, 79, 113, 121, 131, 137, 139, 157, 169, 173, 179, 191, 199, 211, 233, 239, 257, 271, 277, 289, 293, 313, 317, 331, 337, 353, 359, 379, 397, 419, 431, 433, 439, 479, 499, 557, 593, 599, 613, 631, 653, 659, 673, 677, 719, 751
Offset: 1

Views

Author

Vincenzo Librandi, Apr 01 2014

Keywords

Links

Crossrefs

Cf. numbers with positive primitive root r: A167791 (r=2), A167792 (r=3), A167793 (r=5), A167794 (r=6), A167795 (r=7), A167796 (r=8), A167797 (r=10), A240028 (r=11), A240030 (r=12), A240032 (r=13), A240094 (r=14), A240096 (r=15), A240100 (r=17), A240103 (r=18), A240106 (r=19), A240108 (r=20).
Cf. numbers with negative primitive root r: A167798 (r=-2), A167799 (r=-3), A167800 (r=-4), A167801 (r=-5), A167802 (r=-6), A167803 (r=-7), A167804 (r=-8), A167805 (r=-9), A167806 (r=-10), A240029 (r=-11), A240031 (r=-12), A240093 (r=-13), A240095 (r=-14), A240097 (r=-15), A240100 (r=-17), A240102 (r=-18), A240104 (r=-19).

Programs

  • Mathematica
    pr = -20; Select[Range[2, 800], MultiplicativeOrder[pr, #] == EulerPhi[#] &]

A240108 Numbers with primitive root 20.

Original entry on oeis.org

3, 9, 13, 17, 23, 27, 37, 43, 47, 53, 67, 73, 81, 83, 103, 107, 113, 137, 157, 163, 167, 169, 173, 223, 227, 233, 243, 257, 263, 277, 283, 289, 293, 313, 317, 337, 347, 353, 367, 383, 397, 433, 443, 463, 467, 487, 503, 529, 547, 557, 563, 587, 593, 607
Offset: 1

Views

Author

Vincenzo Librandi, Apr 01 2014

Keywords

Links

Crossrefs

Cf. numbers with positive primitive root r: A167791 (r=2), A167792 (r=3), A167793 (r=5), A167794 (r=6), A167795 (r=7), A167796 (r=8), A167797 (r=10), A240028 (r=11), A240030 (r=12), A240032 (r=13), A240094 (r=14), A240096 (r=15), A240100 (r=17), A240103 (r=18), A240106 (r=19).
Cf. numbers with negative primitive root r: A167798 (r=-2), A167799 (r=-3), A167800 (r=-4), A167801 (r=-5), A167802 (r=-6), A167803 (r=-7), A167804 (r=-8), A167805 (r=-9), A167806 (r=-10), A240029 (r=-11), A240031 (r=-12), A240093 (r=-13), A240095 (r=-14), A240097 (r=-15), A240100 (r=-17), A240102 (r=-18), A240104 (r=-19), A240107 (r=-20).

Programs

  • Mathematica
    pr = 20; Select[Range[2, 700], MultiplicativeOrder[pr, #] == EulerPhi[#] &]
Join[{3,9,13,17},Select[Range[610],MemberQ[PrimitiveRootList[#],20]&]] (* Harvey P. Dale, Jul 17 2025 *)
Showing 1-9 of 9 results.

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