88997
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Primes with digit sum = 41.at n=8A106774
- Primes p such that p^2*q^2*r^2 + 12 and p^2*q^2*r^2 - 12 are primes where q and r are next two primes after p.at n=27A240725
- Numerator of the probability that Bob wins the following game: Alice and Bob take turn (Alice starts first) to gain 1 or 2 chips randomly and independently with 1/2 chance, and the first player that collects at least n chips is the winner.at n=9A265919
- G.f.: Sum_{n>=0} ((1+x)^n - 1)^n / (1+x - x*(1+x)^n)^(n+1).at n=6A303919
- a(0) = 1; a(n) = Sum_{k=0..n-1} (1 + k) * (1 + k^4) * binomial(n-1,k) * a(k) * a(n-1-k).at n=4A385941
- Prime numbersat n=8619