22691
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Sum(sum(binomial(i,j),i=n..2*n),j=0..n).at n=7A085812
- Primes of the form f(n) = 9*n^4 - 444*n^3 + 8059*n^2 - 63714*n + 185371 listed by increasing value of n >= 0.at n=20A117225
- Primes congruent to 60 mod 61.at n=37A142858
- Primes expressed as the sum of square of digits of all primes.at n=30A181508
- Smallest prime greater than n*(n+1)^2/2.at n=35A181956
- a(n) = Sum_{k=floor(n/4)..R} C(k, m*k - (-1)^n*(R - k)) * C(k + 1, m*(k + 2) - (-1)^n*(R - k + 1)) where m = (n + 1) mod 2 and R = (n + m - 3)/2 for n > 0 and a(0) = 1.at n=26A202411
- a(n) = Sum_{k=0..n} binomial(k-1,2*k-1-n)*binomial(k,2*k-n), with a(0) = 1.at n=13A203611
- Primes that can be generated by the concatenation in base 3, in descending order, of two consecutive integers read in base 10.at n=28A287301
- Expansion of (1/(1 - x)) * Sum_{k>=0} x^(k*(2*k+1)) / Product_{j=1..2*k} (1 - x^j).at n=53A318155
- Expansion of (1/(1 - x)) * Sum_{k>=1} x^(k*(2*k-1)) / Product_{j=1..2*k-1} (1 - x^j).at n=53A318156
- Prime numbersat n=2534