87481
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Pseudo-squares: a(n) = the least nonsquare positive integer which is 1 mod 8 and is a (nonzero) quadratic residue modulo the first n odd primes.at n=8A002189
- 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=8A002224
- Numbers whose least quadratic nonresidue (A020649) is 29.at n=7A025029
- Number of points in Z^n of norm <= 2.at n=20A055426
- Primes with 29 as smallest positive primitive root.at n=15A061733
- 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=8A096637
- Odd primes which set records for smallest absolute value of a quadratic nonresidue.at n=10A102295
- 3n^3 - 2n^2 + n - 1.at n=30A130885
- a(n) is the smallest prime p such that 2^(p-1) == 1 (mod a(1)*...*a(n-1)*p).at n=13A175257
- Primes at which occur records of A205531 and A205535.at n=9A205532
- The smallest of four consecutive primes with prime gaps {a,b,c} = {10,18,2}.at n=12A215719
- Smallest nonsquare congruent to a square (mod k^2) for all k = 1..n.at n=22A260709
- Smallest nonsquare congruent to a square (mod k^2) for all k = 1..n.at n=23A260709
- Smallest nonsquare congruent to a square (mod k^2) for all k = 1..n.at n=24A260709
- Smallest nonsquare congruent to a square (mod k^2) for all k = 1..n.at n=25A260709
- Smallest nonsquare congruent to a square (mod k^2) for all k = 1..n.at n=26A260709
- Smallest nonsquare congruent to a square (mod k^2) for all k = 1..n.at n=27A260709
- 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=9A261404
- Value of prime number D for incrementally largest values of minimal x satisfying the equation x^2 - D*y^2 = 5.at n=32A341079
- Value of prime number D for incrementally largest values of minimal y satisfying the equation x^2-D*y^2=5.at n=29A341081