33049

Properties

Appears in sequences

• Smallest prime p of form p = 8k+1 such that first n primes (p_1=2, ..., p_n) are quadratic residues mod p.at n=6A002224
• Numbers whose least quadratic nonresidue (A020649) is 19.at n=10A025027
• a(n) is the least odd prime p such that the maximum run length of consecutive quadratic residues modulo p is n.at n=35A025046
• Primes with 29 as smallest positive primitive root.at n=3A061733
• Smallest prime p == 1 mod 8 (A007519) and p > prime(n+2) such that p is a quadratic residue mod the first n odd primes 3, 5, 7, 11, ..., prime(n+1), and p is a quadratic non-residue mod prime(n+2).at n=6A096637
• Iccanobirt numbers (1 of 15): a(n) = a(n-1) + a(n-2) + R(a(n-3)), where R is the digit reversal function A004086.at n=19A102111
• Iccanobirt primes (1 of 15): Prime numbers in A102111.at n=3A102151
• Odd primes which set records for smallest absolute value of a quadratic nonresidue.at n=8A102295
• Odd numbers n for which 19 is the smallest i (>= 1) with Jacobi symbol J(i,n) getting either a value 0 or -1.at n=16A112078
• Primes of the form x^y + y^z + z^x, for x,y,z > 1.at n=9A123207
• Primes with record large values of the second smallest positive primitive root.at n=16A124111
• Expansion of 1/(1-x-x^2+x^3-x^4).at n=26A124280
• Prime numbers p such that p +- ((p-1)/6) are primes.at n=36A137724
• Where record values occur in A138385.at n=17A138391
• Binary transpose primes. Integers of k^2 bits which, when written row by row as a square matrix and then read column by column, are primes once transformed.at n=38A155967
• Primes at which occur records of A205531 and A205535.at n=7A205532
• Number of (w,x,y) with all terms in {0,...,n} and max(w,x,y) >= 2*min(w,x,y).at n=34A213390
• Number of 2 X n arrays of the minimum value of corresponding elements and their horizontal or antidiagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and columns, 0..2 2 X n array.at n=23A219628
• Number of (2+1) X (n+1) 0..2 arrays with nondecreasing x(i,j)-x(i,j-1) in the i direction and nondecreasing min(x(i,j),x(i-1,j)) in the j direction.at n=10A250814
• Primes p such that the maximal length of a Buchi sequence in Z/pZ is less than the value of A124882 for that prime.at n=5A261404