22409
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Smallest number that requires n iterations of the unitary totient function (A047994) to reach 1.at n=24A003271
- Multiplicity of highest weight (or singular) vectors associated with character chi_167 of Monster module.at n=39A034555
- Primes prime(k) such that prime(k)*k falls between twin primes.at n=15A080174
- Primes p = p_(n+1) such that p_n + p_(n+2) = 2*p_(n+1) + 12.at n=21A095673
- Primes p such that the p-1 digits of the ternary (base 3) expansion of k/p (for k=1,2,3,...,p-1) fit into the k-th row of a magic square grid of order p-1.at n=6A096660
- Primes p such that q-p = 24, where q is the next prime after p.at n=35A098974
- a(n) = ((8 + sqrt(3))^n - (8 - sqrt(3))^n)/(2*sqrt(3)).at n=4A153599
- Primes p such that p-1 and p+1 each contain at least one cubed prime in their prime factorization.at n=34A162870
- a(n) = A186882(n+1) - A186882(n).at n=33A186883
- Moore lower bound on the order of an (8,g)-cage.at n=8A198308
- Primes formed from concatenation of PrimePi(n) and prime(n).at n=28A236551
- a(n) = (4*7^n - 1)/3.at n=5A238275
- Primes prime(k) such that (prime(k)*prime(k+1)+1)/2 is prime.at n=36A266163
- The difference between the number of partitions of 2n into odd parts (A000009) and the number of partitions of 2n into even parts (A035363).at n=37A282893
- Numbers at the start of a run of 2 or more consecutive primes that are Sophie Germain primes.at n=39A339474
- Numbers at the start of a run of exactly 2 consecutive primes that are Sophie Germain primes.at n=37A339475
- Numbers that are the sum of four third powers in six or more ways.at n=34A345148
- Numbers that are the sum of four third powers in exactly six ways.at n=28A345149
- Lexicographically earliest sequence of distinct primes whose partial products lie between noncomposite numbers.at n=43A359940
- Prime powers that are equal to the sum of the first k prime powers (not including 1) for some k.at n=18A364797