84457

Properties

Appears in sequences

• Numerators of continued fraction convergents to sqrt(555).at n=8A042062
• Primes p such that x^54 = 2 has no solution mod p, but x^18 = 2 has a solution mod p.at n=22A059666
• Primes p such that x^9 = 2 has a solution mod p, but x^(9^2) = 2 has no solution mod p.at n=39A070185
• Numerators of partial sums of Catalan numbers scaled by powers of 1/20.at n=4A120786
• Primes of the form 2*n^2+6*n+1.at n=34A176549
• Number of binary words of length n containing no subword 10001.at n=17A210003
• Number of binary words of length n avoiding the subword given by the binary expansion of n.at n=17A234005
• Lesser of consecutive primes whose sum is of the form k*(k+2), for some integer k.at n=41A242384
• a(0) = a(1) = 1; a(n) = [x^n] Product_{k=1..n-1} 1/(1 - a(k)*x^a(k)).at n=28A300411
• A(n, k) is the k-th number b > 1 such that b^(prime(n+i)-1) == 1 (mod prime(n+i)^2) for each i = 0..4, with k running over the positive integers; square array, read by antidiagonals, downwards.at n=15A319062
• Numbers b > 1 such that the smallest five primes, i.e., 2, 3, 5, 7 and 11 are base-b Wieferich primes.at n=5A339534
• a(n) is the smallest number that is the sum of n positive 5th powers in three ways.at n=2A343083
• Numbers that are the sum of seven fifth powers in three or more ways.at n=0A345606
• Numbers that are the sum of seven fifth powers in exactly three ways.at n=0A346280
• Prime numbersat n=8233