39703

Properties

Appears in sequences

• a(0) = 1, a(n) = 29*n^2 + 2 for n>0.at n=37A010019
• E.g.f.: exp((exp(p*x)-p-1)/p+exp(x)) for p=10.at n=5A036080
• Ending prime: n-th prime in the first occurrence of n consecutive primes of the form 4k + 3.at n=8A145988
• Smallest prime q such that 2n+1 = p^3 - 2q for some odd prime p, or 0 if no such prime exists.at n=49A224730
• Number of nX5 0..1 arrays with every element equal to 0, 1 or 2 horizontally or antidiagonally adjacent elements, with upper left element zero.at n=3A301838
• T(n,k)=Number of nXk 0..1 arrays with every element equal to 0, 1 or 2 horizontally or antidiagonally adjacent elements, with upper left element zero.at n=31A301841
• Number of 4Xn 0..1 arrays with every element equal to 0, 1 or 2 horizontally or antidiagonally adjacent elements, with upper left element zero.at n=4A301844
• a(n)=x is the least prime with pi(x,4,3) - pi(x,4,1) = n-1 where pi(x,4,k) is the number of primes 4*j + k <= x.at n=34A349518
• Pairs of prime numbers (p,q), p minimal, such that prime(n) = p^3 - 2*q, or (0,0) if no such pair exists.at n=51A392479
• Prime numbersat n=4173