29633

Properties

Appears in sequences

• Numbers k such that the continued fraction for sqrt(k) has odd period and if the last term of the periodic part is deleted the two central terms are both 49.at n=1A031637
• Numerators of continued fraction convergents to sqrt(218).at n=7A041406
• a(1) = 2; a(n) is the smallest prime > a(n-1) such that a(n) + a(n-1) is a square.at n=26A062064
• Coefficient of x^n of A(x)^n is A005651(n), which is the sum of multinomial coefficients for n.at n=9A088946
• The sequence gives prime numbers formed from the sum of the squares of composite numbers and the corresponding prime numbers.at n=15A180233
• Primes p such that A008472(p-1) = A008472(p+1), where A008472 = sum of distinct primes dividing n.at n=3A203182
• a(n) is the smallest prime p such that there is a multiplicative subgroup H of Z/pZ, of odd order and of index 2n, such that for any two cosets H1 and H2 of H, H1 + H2 contains all of (Z/pZ)\0, except that H+H contains all of (Z/pZ)\0 except -H. If no such prime exists, a(n) = 0.at n=31A294615
• Prime numbersat n=3216