20323
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- a(n) is the position of cube of the n-th prime among the powers of primes (A000961).at n=17A024625
- Positions of cubes among the powers of primes (A000961).at n=26A024627
- Discriminants of imaginary quadratic fields with class number 23 (negated).at n=37A046020
- a(n) is the least prime p, such that next_prime(2*p) - 2*p = 2*n - 1.at n=23A059846
- Primes which are the concatenation of numbers n_1, n_2, n_3, in that order, with n_1 + n_2 = n_3 (leading zeros are forbidden for nonzero n_i).at n=33A067860
- Primes such that a sum of any two adjacent digits is prime; first and last digits are considered adjacent.at n=45A086244
- Primes in which the digit string can be partitioned into three parts such that the sum of the first two is equal to the third, and the second part is nonzero.at n=32A088291
- Primes congruent to 24 mod 53.at n=39A142554
- Primes p such that p^3-p^2-1 and p^3-p^2+1 are prime.at n=32A160858
- Prime numbers P such that 8*P^2-1 and 8*(8*P^2-1)^2-1 are also prime numbers.at n=33A245674
- a(n) = number of polynomials a_k*x^k + ... + a_1*x + a_0 with k > 0, integer coefficients, only distinct integer roots, and a_0 = p^n (p is a prime).at n=19A248348
- Primes p such that each decimal digit of p is equal to the difference of two other digits of p.at n=13A255892
- Primes having only {0, 2, 3} as digits.at n=13A260125
- Numerators of upper primes-only best approximates (POBAs) to Pi; see Comments.at n=14A265810
- Prime time primes on 6-digit clocks, second definition: primes of the form HMMSS where H, MM, SS are primes, H < 24, MM and SS < 60.at n=4A295013
- Prime time numbers on 6-digit clocks: numbers of the form HMMSS where H, MM, SS are primes, H < 24, MM and SS < 60.at n=25A295014
- Least k such that A359247(k) = n, or 0 if no such k exists.at n=29A359657
- Number of integer compositions of n whose leaders of maximal anti-runs are not weakly decreasing.at n=17A374699
- Primes having only {0, 2, 3, 4} as digits.at n=23A386041
- Primes having only {0, 2, 3, 5} as digits.at n=29A386042