22543
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Pisot sequence T(2,5), a(n) = floor(a(n-1)^2/a(n-2)).at n=11A018914
- Numerators of the fractional coefficients of the square-root of the prime power series: sum_{n=0..inf} p_n x^n, where p_n is the n-th prime and p_0 is defined to be 1.at n=21A073749
- Let P(n,x) = Product_{k=1..n} polcyclo(k,x) where polcyclo(k,x) denotes the k-th cyclotomic polynomial. Sequence gives the maximum value of coefficients of P(n,x).at n=16A076584
- Balanced primes of order four.at n=23A082079
- Primes congruent to 34 mod 61.at n=36A142832
- n is prime and is the sum of the first k primes for some k, start from 5.at n=9A155851
- a(n) = 78*n^2 + 1.at n=17A158769
- Least prime p such that pi(p*n)^2 + 1 = prime(q*n) for some prime q.at n=13A260219
- Centered 17-gonal (or heptadecagonal) primes.at n=10A264824
- Numbers n such that n^2048 + (n+1)^2048 is prime.at n=22A274235
- Positive integers that have exactly ten representations of the form 1 + p1 * (1 + p2* ... * (1 + p_j)...), where [p1, ..., p_j] is a (possibly empty) list of distinct primes.at n=22A317400
- Smallest prime p in a sequence of six consecutive primes (p,q,r,u,v,w) for which the conic section discriminant Delta < 0 for the general conic section px^2 + qy^2 + rz^2 + 2uyz + 2vxz + 2wxy = 0.at n=40A327378
- The number of vertices inside a cross with width 3 and height n (see Comments in A331455 for definition) formed by the straight line segments mutually connecting all vertices and all points.at n=18A330850
- Largest prime number p such that x^n + y^n mod p does not take all values on Z/pZ.at n=36A355920
- Primes having only {2, 3, 4, 5} as digits.at n=32A386139
- Prime numbersat n=2520