51059

Properties

Appears in sequences

• Let p(k) = k-th prime; sequence gives primes q of the form q = k*p(k) + 1 for some k.at n=10A096064
• Primes of the form p==3 (mod 4) such that the average of their primitive roots equals p/2.at n=15A267010
• Lesser of twin primes P(k) and P(k+1) such that Sd(P(k)) + Sd(P(k+1)) = Sd(k) + Sd(k+1), where Sd(x) is the sum of digits of x.at n=9A277111
• First of three consecutive primes p,q,r such that r^2-p^2+p, r^2-p^2+q and r^2-p^2+r are consecutive primes.at n=46A347531
• Expansion of g.f. A(x) satisfying 5 = Sum_{n=-oo..+oo} (-x)^n * (5*A(x) + x^(n-1))^(n+1).at n=5A363105
• G.f. A(x) satisfies A(x) = 1 + x*A(x)/A(-x*A(x)).at n=14A384951
• Prime numbersat n=5227