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 1-4 of 4 results.

A123677 Primes p such that Lucas(prime(p)) is prime, where Lucas = A000032.

Original entry on oeis.org

3, 5, 7, 11, 13, 71, 113, 643, 769, 13681, 51929
Offset: 1

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Author

Alexander Adamchuk, Oct 05 2006

Keywords

Comments

These are the primes in A120561.
Numbers n such that Lucas(prime(n)) is prime are listed in A120561; indices of prime Lucas numbers are listed in A001606.

Crossrefs

Cf. A000032, A123678, A120561, A001606, A119984, A122534, A277290.

Formula

a(n) = prime(A123678(n)).
a(n) = pi(A277290(n)). - Bobby Jacobs, Oct 30 2016

Extensions

51929 found by Henri Lifchitz, from Jens Kruse Andersen, Jul 24 2014

A123678 Numbers n such that Lucas(prime(prime(n))) is prime, where Lucas(k) = A000032(k).

Original entry on oeis.org

2, 3, 4, 5, 6, 20, 30, 117, 136, 1616, 5313
Offset: 1

Views

Author

Alexander Adamchuk, Oct 05 2006

Keywords

Comments

Indices of prime Lucas numbers are listed in A001606.
Numbers n such that Lucas(prime(n)) is prime are listed in A120561.
Primes in A120561 are listed in A123677(n) = prime(a(n)).

Crossrefs

Cf. A000032, A123677, A120561, A001606, A277290.
Cf. A119984, A122534 (Numbers n such that Fibonacci(prime(prime(n))) is prime).

Formula

a(n) = pi(A123677(n)).
a(n) = pi(pi(A277290(n))). - Bobby Jacobs, Oct 30 2016

Extensions

5313 found by Henri Lifchitz, from Jens Kruse Andersen, Jul 24 2014

A277284 Prime-indexed primes p such that Fibonacci(p) is prime.

Original entry on oeis.org

3, 5, 11, 17, 83, 431, 509, 130021, 148091, 433781
Offset: 1

Views

Author

Bobby Jacobs, Oct 21 2016

Keywords

Comments

Intersection of A006450 and A083668. - Michel Marcus, Oct 21 2016

Examples

			17 = A000040(7), with 7 itself being a prime, and A000045(17) = 1597, a prime, thus 17 is included in this sequence.

Crossrefs

Cf. A000040, A000045, A006450, A083668, A122534, A277575.

Programs

  • Mathematica
    Select[Prime[Prime[Range[37000]]],PrimeQ[Fibonacci[#]]&] (* Harvey P. Dale, Sep 12 2019 *)
  • PARI
    isok(p) = isprime(p) && isprime(primepi(p)) && isprime(fibonacci(p)); \\ Michel Marcus, Oct 21 2016

Formula

a(n) = prime(A277575(n)).
a(n) = prime(prime(A122534(n))).

A277575 Primes p such that Fibonacci(prime(p)) is prime.

Original entry on oeis.org

2, 3, 5, 7, 23, 83, 97, 12161, 13681, 36467
Offset: 1

Views

Author

Bobby Jacobs, Oct 20 2016

Keywords

Comments

Suggested by Alexander Adamchuk in A122534.

Crossrefs

Primes in A119984.
Cf. A000040, A000045, A001605, A005478, A006450, A030426, A075737, A083668, A093308, A122534, A277284.

Programs

  • PARI
    isok(p) = isprime(p) && isprime(fibonacci(prime(p))); \\ Michel Marcus, Oct 22 2016

Formula

a(n) = prime(A122534(n)).
a(n) = PrimePi(A277284(n)).
Showing 1-4 of 4 results.

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

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