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 1-10 of 13 results. Next

A259264 Cyclotomic polynomial value Phi(5,n!).

Original entry on oeis.org

5, 5, 31, 1555, 346201, 209102521, 269112327121, 645369332030641, 2642973843312270721, 17340169097630273489281, 173401260912466521665068801, 2538767225004530212838194156801, 52643875968757162157863810977561601
Offset: 0

Views

Author

Robert Price, Jun 22 2015

Keywords

Crossrefs

Programs

  • Mathematica
    Table[Cyclotomic[5, n!], {n, 0, 200}]
  • PARI
    vector(15, n, n--; polcyclo(5, n!)) \\ Michel Marcus, Jun 23 2015

Formula

a(n) = A053699(n!). - Michel Marcus, Jun 23 2015

A259265 Primes of the form Phi(5,n!), where Phi is the cyclotomic polynomial.

Original entry on oeis.org

5, 5, 31, 346201, 209102521, 6813584502670671709484968734757499815278649237224386797415881735111285309440001
Offset: 1

Views

Author

Robert Price, Jun 22 2015

Keywords

Comments

These primes are neither sorted nor uniqued. They are listed in the order found in A259264.

Crossrefs

Cf. A200906.

Programs

  • Mathematica
    Select[Table[Cyclotomic[5, n!], {n, 0, 200}], PrimeQ]

A260478 Cyclotomic polynomial value Phi(8,n!).

Original entry on oeis.org

2, 2, 17, 1297, 331777, 207360001, 268738560001, 645241282560001, 2642908293365760001, 17340121312772751360001, 173401213127727513600000001, 2538767161403058526617600000001, 52643875858853821607942553600000001, 1503561738404723998944447273369600000001
Offset: 0

Views

Author

Robert Price, Aug 28 2015

Keywords

Crossrefs

Programs

  • Mathematica
    Table[Cyclotomic[8, n!], {n, 0, 200}]
  • PARI
    a(n)=polcyclo(8,n!) \\ Charles R Greathouse IV, Aug 29 2015

Formula

a(n) = A123865(n!) for n>0.

A258357 Numbers n such that cyclotomic polynomial value Phi(7,n!) is prime.

Original entry on oeis.org

0, 1, 2, 3, 13, 470, 2957
Offset: 1

Views

Author

Robert Price, May 27 2015

Keywords

Comments

Except for the values 0,1,2 and 3, terms correspond to probable primes.
a(8) > 6502.
Also, numbers n such that n! belongs to A100330. - Michel Marcus, May 30 2015

Examples

			3 is in the sequence because Phi(7,3!) = 1 + 6 + 6^2 + 6^3 + 6^4 + 6^5 + 6^6 = 55987 is prime.
		

Crossrefs

Programs

  • Mathematica
    Select[Range[0, 6502], PrimeQ[Cyclotomic[7, #!]] &]

A260076 Cyclotomic polynomial value Phi(9,n!).

Original entry on oeis.org

3, 3, 73, 46873, 191116801, 2985985728001, 139314069877248001, 16390160963204120064001, 4296582355504685658144768001, 2283380023591730863569702223872001, 2283380023591730815832761109839872000001, 4045146997974190235742912149285516869632000001
Offset: 0

Views

Author

Robert Price, Aug 29 2015

Keywords

Crossrefs

Programs

  • Mathematica
    Table[Cyclotomic[9, n!], {n, 0, 200}]

Formula

a(n) = A060883(n!) for n>0.

A260077 Cyclotomic polynomial value Phi(10,n!).

Original entry on oeis.org

1, 1, 11, 1111, 318505, 205646281, 268365829681, 645113283892561, 2642842746670654081, 17340073528178593019521, 173401165343014841913811201, 2538767097801590027098850323201, 52643875748950481516906361827558401, 1503561738163266360299131304568093619201
Offset: 0

Views

Author

Robert Price, Aug 29 2015

Keywords

Crossrefs

Programs

  • Mathematica
    Table[Cyclotomic[10, n!], {n, 0, 200}]

Formula

a(n) = A060884(n!) for n>0.

A261128 Cyclotomic polynomial value Phi(7,n!).

Original entry on oeis.org

7, 7, 127, 55987, 199411801, 3011076302521, 139507830379527121, 16393413624509530430641, 4296688920209982460579470721, 2283386315992292963858620174289281, 2283380652830226414943490202201665068801, 4045147099313653802803680147635052518194156801
Offset: 0

Views

Author

Robert Price, Aug 20 2015

Keywords

Crossrefs

Programs

  • Mathematica
    Table[Cyclotomic[7, n!], {n, 0, 200}]
  • PARI
    a(n) = polcyclo(7, n!) \\ Michel Marcus, Aug 22 2015

Formula

a(n) = A053716(n!) for n>0.

A261471 Cyclotomic polynomial value Phi(6,n!).

Original entry on oeis.org

1, 1, 3, 31, 553, 14281, 517681, 25396561, 1625662081, 131681531521, 13168185811201, 1593350882323201, 229442532323558401, 38775788037405619201, 7600054456464819148801, 1710012252722891749632001, 437763136697374129754112001, 126513546505546814497787904001
Offset: 0

Views

Author

Robert Price, Aug 20 2015

Keywords

Crossrefs

Programs

  • Mathematica
    Table[Cyclotomic[6, n!], {n, 0, 200}]
  • PARI
    vector(20, n, n--; polcyclo(6, n!)) \\ Michel Marcus, Aug 20 2015

Formula

a(n) = A002061(n!).

A258355 Numbers n such that cyclotomic polynomial value Phi(9,n!) is prime.

Original entry on oeis.org

0, 1, 2, 98, 775
Offset: 1

Views

Author

Robert Price, May 27 2015

Keywords

Comments

All values correspond to certified primes.
a(6) > 5944.

Examples

			2 is in the sequence because Phi(9,2!) = 1 + 2^3 + 2^6 = 73 is prime.
		

Crossrefs

Programs

  • Mathematica
    Select[Range[0, 5944], PrimeQ[Cyclotomic[9, #!]] &]

A258356 Numbers n such that cyclotomic polynomial value Phi(10,n!) is prime.

Original entry on oeis.org

2, 36, 101, 107, 267, 316
Offset: 1

Views

Author

Robert Price, May 27 2015

Keywords

Comments

All values except 2 are probable primes.
a(7) > 7560.
That is, numbers n such that n! belongs to A246392. - Michel Marcus, May 30 2015

Examples

			2 is in the sequence because Phi(10,2!) = 1 - 2 + 2^2 - 2^3 + 2^4 = 11 is prime.
		

Crossrefs

Programs

  • Mathematica
    Select[Range[0, 7560], PrimeQ[Cyclotomic[10, #!]] &]
Showing 1-10 of 13 results. Next