22189
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- A variant of the cuban primes: primes p = (x^3 - y^3)/(x - y) where x = y + 2.at n=17A002648
- Numbers k such that the continued fraction for sqrt(k) has period 61.at n=35A020400
- Decimal part of cube root of a(n) starts with 1: first term of runs.at n=26A034127
- Smallest prime == 1 mod (n^2).at n=42A035091
- Primes p such that p + googol is prime.at n=18A108250
- Primes occurring in A084704 exactly 4 times.at n=9A128655
- Least prime of three consecutive primes (p1,p2,p3) such that p2-p1 and p3-p2 are both perfect squares.at n=2A161002
- Records of minima of A154333, difference of a cube minus the next smaller square.at n=15A179386
- Number of nonempty subsets of {1, 2, ..., n} with <= 4 pairwise coprime elements.at n=42A187265
- Primes p such that 10p + 1, 100p + 1 and 1000p + 1 are also primes.at n=24A243962
- Number of length n 1..(6+2) arrays with no leading or trailing partial sum equal to a prime.at n=6A254202
- Number of length 7 1..(n+2) arrays with no leading or trailing partial sum equal to a prime.at n=5A254210
- Number of nX(n+2) arrays of permutations of n+2 copies of 0..n-1 with every element equal to or 1 greater than any north or northeast neighbors modulo n and the upper left element equal to 0.at n=5A267555
- Number of 6Xn arrays containing n copies of 0..6-1 with every element equal to or 1 greater than any north or northeast neighbors modulo 6 and the upper left element equal to 0.at n=7A267560
- Primes 6k + 1 preceding the maximal gaps in A268925.at n=7A268926
- Numbers k such that 3*10^k + 17 is prime.at n=22A283684
- Primes of the form 6k + 1 preceding the first-occurrence gaps in A330853.at n=13A330854
- Row sums of the triangular array A357431.at n=44A357417
- Record values in A034058.at n=21A389568
- Prime numbersat n=2488