32318
domain: N
Appears in sequences
- a(n) is smallest number such that a(n)^2 + 1 is divisible by 5^n.at n=7A034939
- Number of 4-ary rooted trees with n nodes and height exactly 5.at n=17A036629
- One of the two successive approximations up to 5^n for 5-adic integer sqrt(-1).at n=7A048899
- Composite numbers k such that (k+1)*sigma(k) is a perfect square.at n=10A073586
- Number of branches in all ordered trees with n edges.at n=8A076540
- Numbers k such that k^2 + k - 1 and k^2 + k + 1 are twin primes and (k + 1)*(k + 1) + k + 1 - 1 and (k + 1)*(k + 1) + k + 1 + 1 are also twin primes.at n=11A088498
- Smallest k such that k^2+1 is divisible by A002144(n)^7.at n=0A145871
- Numbers n such that n^2 + 1 is divisible by a 5th power.at n=20A218564
- Numbers k such that k^2 + 1 is divisible by a 6th power.at n=4A218565
- Numbers k such that k^2 + 1 is divisible by a 7th power.at n=0A218574
- Table T(k, n) of smallest bases b > 1 such that p = prime(n) satisfies b^(p-1) == 1 (mod p^k), read by antidiagonals.at n=33A257833
- a(n) is the unique even-valued residue modulo 5^n of a number m such that m^2+1 is divisible by 5^n.at n=6A258929
- a(n) is the least k such that A051903(k^2+1) = n.at n=6A274721
- Minimum m coprime to 5 such that the convergence speed of m^^m := m^(m^^(m-1)) is equal to n >= 0, where A317905(n) represents the convergence speed of m^^m (and m = A047201(n), the n-th non-multiple of 5).at n=7A337833
- a(n) is the smallest base of the form 8 + 10*k which is characterized by a convergence speed of n, where A317905(n) represents the convergence speed of m^^m.at n=6A337836
- Smallest b > 1 such that b^(p-1) == 1 (mod p^7) for p = prime(n).at n=2A353940
- Composite integers k such that sigma(k) | (k + 1)*tau(k) where tau is number of divisors of k.at n=16A384493
- Smallest number k such that both k^n - 1 and k^n + 1 have n prime factors, counted with repetitions.at n=13A385315
- Smallest nonnegative integer coprime to 5 with a constant congruence speed >= n (see A373387 for the definition of "constant congruence speed").at n=7A387665