45281

Properties

Appears in sequences

• a(n) = 2*a(n-1) + 9*a(n-2), with a(0)=a(1)=1.at n=8A002535
• Primes in A002535.at n=4A111015
• Smaller of 3 consecutive prime numbers such that p1*p2*p3+d1+d2-1=average of twin prime pairs, d1(delta)=p2-p1,d2(delta)=p3-p2.at n=15A153402
• Primes of the form 2n^2+14n+5.at n=25A154577
• Primes of the form (p^2-2)/7, where p is also a prime number.at n=12A165668
• a(n) = (a(n-1) + a(n-3))/gcd(a(n-1), a(n-3)) with a(0) =2, a(1) = 3, a(2) = 5.at n=60A214331
• Number of partitions p of n containing ceiling((min(p) + max(p))/2) as a part.at n=47A238484
• Tenth prime p such that (p+n)^2+n is prime but (p+j)^2+j is not prime for all 0<j<n.at n=23A238682
• Denominators of lower primes-only best approximates (POBAs) to sqrt(2); see Comments.at n=15A265773
• The first prime of 8 consecutive primes a, b, c, d, e, f, g, h such that a + g = c + e and b + h = d + f.at n=34A292618
• Prime numbersat n=4697