22367
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Molien series for A_10.at n=42A008633
- Number of partitions of n into at most 10 parts.at n=42A008639
- Primes p such that there is no Carmichael number pqr, p<q<r q, r primes.at n=23A051663
- Prime numbers that are 2 less than a prime-indexed odd triangular number or 1 more than a prime-indexed even triangular number.at n=28A096333
- Numbers k such that 11k = 6j^2 + 6j + 1.at n=36A106388
- Primes p such that p + 2 and p^2 + 2^2 are primes.at n=37A107312
- Primes p such that the decimal expansion of p remains prime under two iterations of base-10 to base-2 conversions.at n=7A123266
- Primes arising in A093483.at n=26A127903
- Home primes whose homeliness is greater than 3.at n=33A133961
- Home primes whose homeliness is 4.at n=22A133962
- Number of partitions of the n-th partition number into positive parts not greater than n.at n=9A134737
- Pyramid game person numbers that have integer solutions.at n=26A135051
- Primes that are the sum of all composite numbers in-between prime numbers p(n) and p(n+2).at n=27A174521
- Primes of the form x^2 + 7*y^2, where x and y=x+1 are consecutive natural numbers.at n=27A176616
- Minimal natural number (in decimal representation) with n prime substrings in base-4 representation (substrings with leading zeros are considered to be nonprime).at n=19A217304
- Positions of 2 in sequence A217916.at n=25A217918
- Primes of the form triangular(p) + 1, where p is a prime.at n=13A231988
- Primes p such that p+2, p+24 and p+246 are also primes.at n=22A235871
- Primes p with p + 2 and prime(p) - 2 both prime.at n=37A236467
- Primes equal to a hexagonal number plus 1.at n=28A285790