153763
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- prime(k) for those k where floor((2*(prime(k+1)-prime(k))*PrimePi(k) mod (8*k))/k) = m with m = 12.at n=13A109566
- Primes of the form 10n^2 + 3.at n=29A201710
- Primes p such that q-p = 54, where q is the next prime after p.at n=14A204666
- a(n) is the least prime p=prime(m) such that gcd (prime(m) + 2, prime(m + 1) + 2) = 2*n - 1.at n=13A268879
- E.g.f.: Sum_{n>=0} ((1+x)^n + 1)^n * exp(-x*(1+x)^n) * x^n / n!.at n=7A326427
- Prime numbersat n=14173