20563

Properties

Appears in sequences

• Smallest prime p such that the product of q/(q-1) over the primes from prime(n) to p is greater than 2.at n=32A001275
• Largest prime p==3 (mod 8) such that Q(sqrt(-p)) has class number 2n+1.at n=6A002149
• Continued fraction for log(72).at n=38A016500
• Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 82 ones.at n=25A031850
• Largest squarefree number k such that Q(sqrt(-k)) has class number n.at n=12A038552
• Discriminants of imaginary quadratic fields with class number 13 (negated).at n=36A046010
• a(n)=a(n-1)+a(n-2)-d, where d=a(n/4) if 4 divides n, else d=0; 2 initial terms.at n=22A050194
• Right diagonal of triangle in A072467.at n=22A072469
• Number of partitions of 2n in which all odd parts occur with multiplicity 2. There is no restriction on the even parts.at n=28A101277
• prime(k) for those k where floor((2*(prime(k+1)-prime(k))*PrimePi(k) mod (8*k))/k) = m with m = 8.at n=36A109562
• Primes p such that q-p = 30, where q is the next prime after p.at n=22A124596
• Primes congruent to 31 mod 59.at n=39A142758
• Primes congruent to 6 mod 61.at n=37A142804
• Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, 0, 1), (-1, 1, 0), (0, 0, 1), (1, -1, 0), (1, 1, -1)}.at n=9A148482
• Middle of 3 consecutive prime numbers, p1, p2, p3, such that p1*p2*p3*d1*d2 = average of twin prime pairs; d1 (delta) = p2 - p1, d2 (delta) = p3 - p2.at n=18A153410
• Lesser of two consecutive primes, p < q, such that both p*q+p-q and p*q-p+q are prime numbers.at n=27A154553
• a(n) = A168174(n)-10^12.at n=25A168248
• Smallest primes p = p(k) with (p(k)+p(k+1)+p(k+2))/15 an integer.at n=13A168556
• Primes that are the sum of three consecutive primes in A034962.at n=30A207527
• Primes p=prime(i) of level (1,4), i.e., such that A118534(i) = prime(i-4).at n=6A216177