A237440 -id:A237440 - 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)

A237441 Quintuple Hex-primes: let f(n) = A102489(n); then sequence lists primes p such that f(p), f(f(p)), f(f(f(p))), f(f(f(f(p)))) and f(f(f(f(f(p))))) are also primes.

Original entry on oeis.org

2, 3, 5, 7, 61, 101, 196853, 516151, 548239, 568627, 595039, 603833, 648887, 1996223, 2086907, 2487227, 3322757, 3711343, 4385137, 5226049, 5288929, 5853241, 8792039, 8796187, 8982191, 10203203, 12640297, 12664129, 12845561, 13156267, 13437481, 14342431

Offset: 1

Andreas Boe, Feb 07 2014

The sequence is a subset of A103144, A237438, A237439 and A237440

			Dec61=prime -> Hex61=Dec97=prime -> Hex97=Dec151=prime -> Hex151=Dec337=prime -> Hex337=Dec823=prime -> Hex823=Dec2083=prime.

Cf. A102489

Cf. A103144(Hex-primes), A237438(Double Hex-primes), A237439(Triple Hex-primes), A237440(Quadruple Hex-primes).

hd(n) = my(d = digits(n)); sum(i=1, #d, 16^(i-1)*d[#d-i+1]);
isok(p) = isprime(p) && isprime(p=hd(p)) && isprime(p=hd(p)) && isprime(p=hd(p)) && isprime(p=hd(p)) && isprime(p=hd(p)); \\ Michel Marcus, Feb 08 2014

More terms from Michel Marcus, Feb 08 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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A237441 Quintuple Hex-primes: let f(n) = A102489(n); then sequence lists primes p such that f(p), f(f(p)), f(f(f(p))), f(f(f(f(p)))) and f(f(f(f(f(p))))) are also primes.

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