36451

Properties

Appears in sequences

• Primes p such that x^5 = 2 has a solution mod p, but x^(5^2) = 2 has no solution mod p.at n=25A070182
• a(n) = -a(n-1) - a(n-2) + a(n-3) - a(n-5).at n=31A089134
• Primes of the form 2*n^2+1.at n=23A090698
• Let M = the 2 X 2 matrix [0 1 / -1 2+sqrt(8)]. Perform the operation M^n * [1 1] = [x y]; then a(n) = floor(x), a(n+1) = floor(y).at n=7A093568
• Primes of the form 2^a * 3^b * 5^c + 1 for positive a, b, c.at n=37A114991
• Primes of the form p = prime(k) = (prime(k+3)+prime(k-1))/2.at n=35A126238
• a(n) = 50*n^2 + 1.at n=26A157916
• Prime numbers of the form n*b^n + 1, where b, n >= 2.at n=28A178541
• Triangle T(n,k) = |Re|+|Im| where Re+i*Im is the complex coefficient of [x^k] of the series (1-x)^(n+1) * Sum_{k>=0} ((1+i)*k+i)^n *x^k and i the imaginary unit, row n and column k.at n=31A179086
• Triangle T(n,k) = |Re|+|Im| where Re+i*Im is the complex coefficient of [x^k] of the series (1-x)^(n+1) * Sum_{k>=0} ((1+i)*k+i)^n *x^k and i the imaginary unit, row n and column k.at n=32A179086
• a(n) is the smallest prime(i) such that (prime(i) - prime(j))/(i - j) = prime(n) with i > j.at n=10A234511
• Fourth prime p such that (p+n)^2+n is prime but (p+j)^2+j is not prime for all 0<j<n.at n=31A238676
• Primes p such that p^3-2 and p^2-2 are both primes.at n=37A242979
• Denominators of upper primes-only best approximates (POBAs) to sqrt(8); see Comments.at n=15A265793
• Artiads (A001583) congruent to 1 mod 50 and having 2 as a quintic residue.at n=9A270799
• Primes p such that both 2p-1 and 2p^2-2p+1 are prime.at n=44A274609
• a(n) is the smallest prime p such that the number of distinct values of the ratio (number of nonnegative m < p such that m^k == m (mod p))/(number of nonnegative m < p such that -m^k == m (mod p)) is equal to n for some nonnegative k.at n=21A340281
• Prime numbersat n=3863