53377

Properties

Appears in sequences

• a(n) = p is the smallest prime such that p = n + h(n)^2 and p is the first prime following h(n)^2. The smallest immediate post-square primes with distance n = p - h(n)^2.at n=15A058056
• Prime-indexed primes (PIPs) whose digits are all primes.at n=18A087368
• Primes p such that p-2 and p+2 are divisible by a cube.at n=7A089202
• Primes p such that 2*p-27, 2*p+27, 2*p-33 and 2*p+33 are primes or -1 times primes.at n=37A103807
• Pythagorean primes p such that for all primes q < p, p XOR q is not equal to p - q.at n=37A197918
• Primes p=u^2+v^2 such that p+u or p+v is the next prime after p.at n=38A213996
• Primes of the form 384*k + 1.at n=37A229854
• a(n) = n-th smallest prime congruent to 1 modulo prime(n).at n=33A234387
• Primes of the form n^2 + 16.at n=35A243451
• Primes p such that (p^256 + 1)/2 is prime.at n=37A341234
• Number of integer compositions of n whose parts all have the same number of prime factors, counted with multiplicity.at n=31A358911
• a(n) = least prime > (5/3)*a(n - 1)*a(n - 3)/a(n - 2), with a(1) = 2, a(2) = 3, a(3) = 5.at n=36A377544
• Prime numbersat n=5443