A237441 -id:A237441 - cp's OEIS frontend

A237438 Double Hex-primes: let f(n) = A102489(n); then sequence lists primes p such that f(p) and f(f(p)) are also primes.

2, 3, 5, 7, 11, 43, 47, 53, 59, 61, 89, 97, 101, 139, 151, 167, 199, 241, 251, 257, 269, 281, 337, 373, 443, 557, 599, 607, 647, 653, 829, 971, 1051, 1093, 1163, 1223, 1279, 1327, 1433, 1459, 1499, 1549, 1583, 1597, 1607

Offset: 1

Andreas Boe, Feb 07 2014

This sequence is a subset of A103144.

			Dec61=prime -> Hex61=Dec97=prime -> Hex97=Dec151=prime.

Andreas Boe, Table of n, a(n) for n = 1..6084

Cf. A102489.

Cf. A103144 (Hex-primes), A237439 (Triple Hex-primes), A237440 (Quadruple Hex-primes), A237441 (Quintuple Hex-primes).

A237439 Triple Hex-primes: let f(n) = A102489(n); then sequence lists primes p such that f(p), f(f(p)) and f(f(f(p))) are also primes.

Original entry on oeis.org

2, 3, 5, 7, 59, 61, 97, 101, 151, 257, 599, 647, 829, 1163, 1499, 1999, 2351, 2467, 2531, 2897, 2903, 3001, 3373, 4783, 4813, 5683, 6317, 6857, 6997, 7759, 8563, 8837, 8963, 9203, 9463, 9497, 9521, 10903, 10957

Offset: 1

Andreas Boe, Feb 07 2014

The sequence is a subset of OEIS sequences A103144 and A237438

			Dec61=prime -> Hex61=Dec97=prime -> Hex97=Dec 151=prime -> Hex151=Dec337=prime

Original research by OEIS contributor Andreas Boe, Feb 2014

Andreas Boe, Table of n, a(n) for n = 1..188

Cf. A102489

Cf. A103144(Hex-primes), A237438 (Double Hex-primes), A237440 (Quadruple Hex-primes), A237441 (Quintuple Hex-primes)

A237440 Quadruple Hex-primes: let f(n) = A102489(n); then sequence lists primes p such that f(p), f(f(p)). f(f(f(p))) and f(f(f(f(p)))) are also primes.

Original entry on oeis.org

2, 3, 5, 7, 61, 97, 101, 257, 2531, 4783, 5683, 6317, 8963, 9463, 9497, 11593, 15683, 18757, 23687, 26251, 29611, 31271, 36011, 45497, 45979, 46853, 54869, 73379, 92557, 93761, 104173, 107857, 107981, 121607, 134047, 192091, 196853, 236729, 285599, 310081

Offset: 1

Andreas Boe, Feb 07 2014

The sequence is a subset of sequences A103144, A237438, and A237439.

			Dec61=prime -> Hex61=Dec97=prime -> Hex97=Dec151=prime -> Hex151=Dec337=prime -> Hex337=Dec823=prime.

Harvey P. Dale, Table of n, a(n) for n = 1..1000

Cf. A102489.

Cf. A103144 (Hex-primes), A237438 (Double Hex-primes), A237439 (Triple Hex-primes), A237441 (Quintuple Hex-primes).

qhpQ[n_]:=AllTrue[Rest[NestList[FromDigits[IntegerDigits[#],16]&,n,4]], PrimeQ]; Select[Prime[Range[27000]],qhpQ] (* The program uses the AllTrue function from Mathematica version 10 *) (* Harvey P. Dale, Mar 13 2016 *)

isok(p)= isprime(p) && isprime(p=hd(p)) && isprime(p=hd(p)) && isprime(p=hd(p)) && isprime(p=hd(p)); \\ Michel Marcus, Feb 09 2014

More terms from Michel Marcus, Feb 09 2014

cp's OEIS Frontend

A237438 Double Hex-primes: let f(n) = A102489(n); then sequence lists primes p such that f(p) and f(f(p)) are also primes.

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A237439 Triple Hex-primes: let f(n) = A102489(n); then sequence lists primes p such that f(p), f(f(p)) and f(f(f(p))) are also primes.

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A237440 Quadruple Hex-primes: let f(n) = A102489(n); then sequence lists primes p such that f(p), f(f(p)). f(f(f(p))) and f(f(f(f(p)))) are also primes.

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