45677

Properties

Appears in sequences

• Let f(x) = phi(x) + sigma(x); a(n) = least k such that at k begins a maximal run of length n of consecutive strict local extrema of f, or 0 if no such k exists.at n=27A066923
• Primes of the form 47*n^2 - 1701*n + 10181.at n=26A128878
• Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (-1, 0, -1), (0, 1, 1), (1, -1, 0), (1, 1, 1)}.at n=8A150738
• Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (-1, 1, -1), (0, 1, 1), (1, 0, -1), (1, 1, 1)}.at n=8A150739
• Ninth 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=32A238681
• Prime numbers that have a decagonal (10 sides) Voronoi cell in the Voronoi diagram of the Ulam prime spiral.at n=11A257748
• Primes equal to a centered triangular number plus 1.at n=27A285809
• Prime numbers with monotonically increasing digits, increasing by only 0 or 1.at n=19A378774
• Primes having only {4, 5, 6, 7} as digits.at n=33A386188
• Prime numbersat n=4734