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.

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A139062 Primes of the form (6+k!)/6.

Original entry on oeis.org

2, 5, 604801, 6652801, 1037836801, 14529715201, 59281238016001, 8515157028618240001
Offset: 1

Views

Author

Artur Jasinski, Apr 07 2008

Keywords

Comments

For numbers k for which (6+k!)/6 is prime see A139063.

Crossrefs

Programs

  • Mathematica
    a = {}; Do[If[PrimeQ[(n! + 6)/6], AppendTo[a, (n! + 6)/6]], {n, 1, 50}]; a
  • PARI
    for(k=3,1e3,if(ispseudoprime(t=k!/6+1),print1(t", "))) \\ Charles R Greathouse IV, Jul 15 2011

Formula

a(n) = A139153(A139063(n)). - Amiram Eldar, Oct 14 2024

A139064 Primes of the form (7+k!)/7.

Original entry on oeis.org

5702401, 186810624001, 2988969984001, 2215887149047283712000001, 1476163995198020704238093048217600000001, 19811874077955690819705574245769915192271839538955347505831613562880000000000001
Offset: 1

Views

Author

Artur Jasinski, Apr 07 2008

Keywords

Comments

For numbers k for which (7+k!)/7 is prime see A139065.

Crossrefs

Programs

  • Mathematica
    a = {}; Do[If[PrimeQ[(n! + 7)/7], AppendTo[a, (n! + 7)/7]], {n, 1, 50}]; a
  • PARI
    for(k=7,1e3,if(ispseudoprime(t=k!/7+1),print1(t", "))) \\ Charles R Greathouse IV, Jul 15 2011

Formula

a(n) = A139154(A139065(n)). - Amiram Eldar, Oct 14 2024

A139162 a(n)=(prime(n)!+4)/4.

Original entry on oeis.org

31, 1261, 9979201, 1556755201, 88921857024001, 30411275102208001, 6463004184721244160001, 2210440498434925488635904000001, 2055709663544480704431390720000001
Offset: 3

Views

Author

Artur Jasinski, Apr 11 2008

Keywords

Crossrefs

Programs

  • Mathematica
    Table[(Prime[n]! + 4)/4, {n, 3, 30}]

A139170 a(n) = A136156(n) + 1.

Original entry on oeis.org

3, 2, 3, 31, 25, 2, 721, 16, 561, 13, 3628801, 11, 479001601, 361, 9, 316, 20922789888001, 281, 6402373705728001, 7, 241, 1814401, 1124000727777607680001, 6, 1596673, 239500801, 1478401, 181
Offset: 1

Views

Author

Artur Jasinski, Apr 11 2008

Keywords

Crossrefs

Programs

  • Mathematica
    a = {}; Do[m = 1; While[ ! IntegerQ[(n + Prime[m]!)/n], m++ ]; AppendTo[a, (n + Prime[m]!)/n], {n, 1, 100}]; a (*Artur Jasinski*)

A199342 Primes having only {2, 3, 4} as digits.

Original entry on oeis.org

2, 3, 23, 43, 223, 233, 433, 443, 2243, 2333, 2423, 3323, 3343, 3433, 4243, 4423, 22343, 22433, 23333, 24223, 24443, 32233, 32323, 32423, 32443, 33223, 33343, 42223, 42323, 42433, 42443, 43223, 222323, 223243, 223423, 224233, 224423, 224443, 232333, 232433, 233323, 233423, 234323, 234343, 242243, 243233, 243343, 243433, 244243, 244333
Offset: 1

Views

Author

M. F. Hasler, Nov 05 2011

Keywords

Comments

A020458 and A020461 are subsequences. - Vincenzo Librandi, Jul 28 2015

Crossrefs

Cf. similar sequences listed in A199340.

Programs

  • Magma
    [p: p in PrimesUpTo(10^6) | Set(Intseq(p)) subset [3, 4, 2]]; // Vincenzo Librandi, Jul 28 2015
  • Mathematica
    Select[Prime[Range[10^5]], Complement[IntegerDigits[#], {3, 4, 2}]=={}&] (* Vincenzo Librandi, Jul 28 2015 *)
    Table[Select[FromDigits/@Tuples[{2,3,4},n],PrimeQ],{n,6}]//Flatten (* Harvey P. Dale, Nov 06 2019 *)
  • PARI
    a(n, list=0, L=[2, 3, 4], reqpal=0)={my(t); for(d=1, 1e9, u=vector(d, i, 10^(d-i))~; forvec(v=vector(d, i, [1+(i==1&!L[1]), #L]), isprime(t=vector(d, i, L[v[i]])*u)||next; reqpal & !isprime(A004086(t)) & next; list & print1(t", "); n--||return(t)))}
    

A260126 Primes having only {2, 3, 6} as digits.

Original entry on oeis.org

2, 3, 23, 223, 233, 263, 2333, 2633, 2663, 3323, 3623, 6263, 6323, 23333, 23623, 23633, 23663, 26263, 26633, 32233, 32323, 32363, 32633, 33223, 33623, 36263, 62233, 62323, 62633, 222323, 223633, 226663, 232333, 232363, 232633, 232663, 233323, 233663, 236323
Offset: 1

Views

Author

Vincenzo Librandi, Jul 17 2015

Keywords

Crossrefs

Cf. similar sequences listed in A260125.
Cf. A020458 (a subsequence).

Programs

  • Magma
    [p: p in PrimesUpTo(300000) | Set(Intseq(p)) subset [2,3,6]];
  • Mathematica
    Select[Prime[Range[3 10^4]], Complement[IntegerDigits[#], {2, 3, 6}]=={} &]

A260127 Primes having only {2, 3, 8} as digits.

Original entry on oeis.org

2, 3, 23, 83, 223, 233, 283, 383, 823, 883, 2333, 2383, 2833, 3323, 3823, 3833, 8233, 22283, 23333, 23833, 28283, 32233, 32323, 32833, 33223, 38333, 38833, 82223, 82883, 83233, 83383, 83833, 88223, 88883, 222323, 222823, 222883, 223283, 223823, 228223, 228233
Offset: 1

Views

Author

Vincenzo Librandi, Jul 17 2015

Keywords

Comments

A020458 and A020464 are subsequences.

Crossrefs

Cf. similar sequences listed in A260125.

Programs

  • Magma
    [p: p in PrimesUpTo(300000) | Set(Intseq(p)) subset [2, 3, 8]];
  • Mathematica
    Select[Prime[Range[3 10^4]], Complement[IntegerDigits[#], {2, 3, 8}]=={} &]

A260128 Primes having only {2, 3, 9} as digits.

Original entry on oeis.org

2, 3, 23, 29, 223, 229, 233, 239, 293, 929, 2239, 2293, 2333, 2339, 2393, 2399, 2939, 2999, 3229, 3299, 3323, 3329, 3923, 3929, 9239, 9293, 9323, 9923, 9929, 22229, 22993, 23293, 23333, 23339, 23399, 23929, 23993, 29333, 29339, 29399, 32233, 32299, 32323
Offset: 1

Views

Author

Vincenzo Librandi, Jul 17 2015

Keywords

Comments

A020458 and A020460 are subsequences.

Crossrefs

Cf. similar sequences listed in A260125.

Programs

  • Magma
    [p: p in PrimesUpTo(300000) | Set(Intseq(p)) subset [2, 3, 9]];
  • Mathematica
    Select[Prime[Range[4 10^3]], Complement[IntegerDigits[#], {2, 3, 9}]=={} &]
    Select[FromDigits/@Flatten[Table[Tuples[{2,3,9},n],{n,5}],1],PrimeQ] (* Harvey P. Dale, Apr 15 2025 *)

A139161 a(n)=(prime(n)!+3)/3.

Original entry on oeis.org

3, 41, 1681, 13305601, 2075673601, 118562476032001, 40548366802944001, 8617338912961658880001, 2947253997913233984847872000001, 2740946218059307605908520960000001
Offset: 2

Views

Author

Artur Jasinski, Apr 11 2008

Keywords

Crossrefs

Programs

  • Mathematica
    Table[(Prime[n]! + 3)/3, {n, 2, 30}]

A139072 Smallest parameter k such that (n+k!)/n is prime.

Original entry on oeis.org

1, 2, 3, 4, 7, 3, 11, 7, 8, 5, 13, 4, 28, 10, 7, 8, 43, 6, 21, 5, 7, 16, 48, 4, 14, 17, 9, 7, 241, 5, 61, 11, 17, 17, 8, 10, 44, 38, 16, 6, 131, 9, 63, 12, 6, 43, 73, 9, 15, 10, 19, 14, 64, 11, 12, 9, 24, 32, 641, 5, 89, 31, 8, 8, 14, 11, 71, 19, 25, 7, 151, 6, 78, 62, 15, 35, 15, 22, 87
Offset: 1

Views

Author

Artur Jasinski, Apr 07 2008

Keywords

Comments

a(n) >= A002034(n). - Charles R Greathouse IV, Jul 15 2011
a(878) > 5000. - Jinyuan Wang, Apr 01 2020

Crossrefs

Programs

  • Mathematica
    a = {}; Do[k = 1; While[ ! PrimeQ[(k! + n)/n], k++ ]; AppendTo[a, k], {n, 1, 100}]; a
  • PARI
    pr(n)=denominator(n)==1 && ispseudoprime(n)
    a(n)=my(k);until(pr(k++!/n+1),);k \\ Charles R Greathouse IV, Jul 15 2011
Previous Showing 21-30 of 51 results. Next