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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A283458 Primes for which A049076(p) = 14.

Original entry on oeis.org

3657500101, 12055296811267, 156740126985437, 575411103069067, 966399998477597, 1841803943951113, 4176603711876241, 6373890505436101, 7910004791442043, 10613343313176589, 15000987504638299, 23825707567607467, 25462803625208449, 30634679101122821, 41400950264534519, 49969246522326097
Offset: 1

Views

Author

Robert G. Wilson v, Mar 08 2017

Keywords

Comments

Also used Kim Walisch's primecount.

Links

Crossrefs

Cf. A049076, A006450, A114537, A007821, A049078, A049079, A049080, A049081, A058322, A058324,Cf. A058325, A058326, A058327, A058328, A093046, A283459.

Programs

  • Mathematica
    Nest[Prime, Select[Range[7], ! PrimeQ[#] &], 13]

Formula

a(n) = A000040(A093046(n)).

A283459 Primes for which A049076(p) = 15.

Original entry on oeis.org

88362852307, 392654585611999, 5519908106212193, 21034688742654437, 35843152090509943, 69532764058102673, 161191749822468689, 248761474969923757, 310467261969020581, 419776921940182991, 598644471430113247, 962125183414225879, 1029970322316321083, 1244984735583648473, 1695313841631390713
Offset: 1

Views

Author

Robert G. Wilson v, Mar 08 2017

Keywords

Comments

Also used Kim Walisch's primecount.

Links

Crossrefs

Cf. A049076, A006450, A114537, A007821, A049078, A049079, A049080, A049081, A058322, A058324, A058325, A058326, A058327, A058328, A093046, A283458.

Programs

  • Mathematica
    Nest[Prime, Select[Range[3], ! PrimeQ[#] &], 14]

Formula

a(n) = A000040(A283458(n)).

A318554 a(n) is the smallest prime number having order of primeness = prime(n).

Original entry on oeis.org

3, 5, 31, 709, 9737333, 3657500101, 2586559730396077, 4123221751654370051, 28785866289100396890228041
Offset: 1

Views

Author

David James Sycamore, Aug 27 2018

Keywords

Comments

Let F(k) denote A049076(k). The list of primes p such that F(p) = n begins with q, the smallest prime to have prime index in each of n-1 successive primeth iterations, finally taking nonprime index 1 at the n-th iteration. All other members p such that F(p) = n are primes > q which also take a nonprime index at the n-th iteration. The reverse sequence of associated indices for q = prime(n) gives successive terms of the primeth recurrence 1,2,3,5,... until reaching A007097(prime(n)) = a(n).

Examples

			The sequence of primes with order of primeness F(p) = prime(1) = 2 begins 3,17,41,67,...
so a(1)=3. Likewise, F(p) = prime(2) = 3 begins 5,59,179,... so a(2)=5.

Links

Crossrefs

Cf. A000040, A006450, A007097, A049076, A049078, A049079, A049081.

Formula

a(n) = A007097(prime(n)); n >= 1.
Previous Showing 31-33 of 33 results.

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

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