18229
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Primes of form k^2 + 4.at n=25A005473
- Numbers whose base-5 representation contains exactly three 0's and three 4's.at n=15A045217
- Last member of a sexy prime quadruple: value of p+18 such that p, p+6, p+12 and p+18 are all prime.at n=33A046124
- Fourth term of balanced prime quartets: p(m-2)-p(m-3) = p(m-1)-p(m-2) = p(m)-p(m-1).at n=13A054803
- Numbers n such that all the divisors of n appear as substrings in n^3.at n=10A074493
- Primes of the form n^2 + 4n + 8.at n=24A098062
- Inverse binomial of A003949.at n=6A108982
- n is prime and digits of n^3 include digits of n as substring.at n=7A115739
- Primes p such that their cubes are pandigital.at n=8A124629
- Primes p that divide Fibonacci[(p-1)/7].at n=24A125253
- a(n) is n-th prime == 1 (mod 6n).at n=30A138906
- Primes congruent to 50 mod 53.at n=37A142580
- Primes congruent to 57 mod 59.at n=34A142784
- Primes congruent to 51 mod 61.at n=35A142849
- Beginnings of maximal chains of primes with four members (three links).at n=8A152867
- Dispersion of A047209, (numbers >1 and congruent to 1 or 4 mod 5), by antidiagonals.at n=55A191728
- Primes of the form 9n^2 + 4.at n=8A201706
- Primes of the form p(k)^2 + q(m)^2 with k > 0 and m > 0, where p(.) is the partition function (A000041), and q(.) is the strict partition function (A000009).at n=49A233346
- Odd integers k such that for every m >= 1 the numbers k*4^m - 1 have at least three prime factors, not necessarily distinct, and k*4^m - 1 has at least two-element covering set.at n=28A233552
- Primes whose base-6 representation also is the base-3 representation of a prime.at n=20A235469