44917

Properties

Appears in sequences

• Least prime in A031928 (lesser of 10-twins) whose distance to the next 10-twin is 6*n.at n=42A052354
• Number of ways of piling up n wine bottles above a row of n+1 bottles at ground level.at n=13A058300
• Primes p(k) such that the product of digits of p(k) equals the product of digits of k.at n=28A066521
• Primes from merging of 5 successive digits in decimal expansion of cos(1).at n=29A104961
• a(n) = (1/2+1/2*i*sqrt(11))^n + (1/2-1/2*i*sqrt(11))^n, where i=sqrt(-1).at n=18A131040
• a(n) is the rational part of A(n) = (6-sqrt(7))*A(n-1) - (12-4*sqrt(7))*A(n-2) + (8-3*sqrt(7))*A(n-3) with A(0)=3, A(1)=6-sqrt(7), A(2)=19-4*sqrt(7).at n=8A215817
• Primes of form n^2 + 14641.at n=20A256839
• Least prime p such that 2*prime(p*n)+1 = prime(q*n) for some prime q.at n=31A260882
• Primes p such that Sum_{k=PreviousPrime(p)..p} d(k) = Sum_{k=p..NextPrime(p)} d(k), where d(k) is the number of divisors function A000005.at n=37A353552
• Primes p such that, if q,r,s are the next three primes, both p*q*r*s - (p+q+r+s) and p*q*r*s + (p+q+r+s) are primes.at n=12A390929
• Prime numbersat n=4667