22709
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- a(0) = 1, a(n) = 27*n^2 + 2 for n>0.at n=29A010017
- Numbers k such that the continued fraction for sqrt(k) has period 59.at n=36A020398
- Primes of the form k^2 + (k+1)^2 + (k+2)^2 = 3*(k+1)^2+2.at n=12A027864
- Numbers k where cos(k) decreases monotonically to 0.at n=35A046957
- Numbers k where sin(k) increases monotonically to 1 (or cosec(k) decreases).at n=39A046959
- a(n) = sum of absolute values of coefficients of (1+x-x^2)^n.at n=12A084611
- a(n) = n^3 - 2*n^2 + 2.at n=28A100109
- Primes from merging of 5 successive digits in decimal expansion of (Pi^2).at n=29A104928
- Least prime P such that P^(2*prime(n))-P^prime(n)-1 is prime with prime(n) the n-th prime.at n=45A131580
- Primes p such that floor(log(p)) + p^2 is prime.at n=18A225626
- Floor(AGM(n^2, n^3)), where AGM denotes the arithmetic-geometric mean.at n=42A234362
- Number of partitions p of n such that median(p) > multiplicity(min(p)).at n=43A240215
- Primes p such that q = p^2 + 10 and q^2 + 10 are also prime.at n=27A243368
- Primes of the form 3n^2 + 2.at n=13A257163
- Prime numbersat n=2537