33857

Properties

Appears in sequences

• Primes of the form k^2 + 1.at n=33A002496
• Numerators of continued fraction convergents to sqrt(418).at n=5A041794
• Consider the Diophantine equation x^3 + y^3 = z^3 - 1 (x < y < z) or 'Fermat near misses'. The values of z (see A050787) are arranged in monotonically increasing order. Sequence gives values of y.at n=26A050789
• Numbers whose divisors have the form m^k + 1, k>1.at n=35A054964
• Primes p such that sigma(p-1)+sigma(p+1) is prime.at n=12A067464
• Primes p such that the period of the decimal expansion of 1/p is a square.at n=37A072858
• Primes p such that (p-1) and the period length of 1/p are both squares.at n=16A076516
• Primes which are the sum of three 5th powers.at n=10A085319
• Primes p such that p-1 and p+1 are both divisible by fourth powers.at n=21A086709
• a(n) = f(n)/f(n-2) where f(k) = A002665(k).at n=3A096407
• Primes of the form k^3 + (k+1)^2.at n=15A100662
• a(n) = n^3 + (n+1)^2.at n=32A100705
• Sum of the heights of all directed column-convex polyominoes of area n; here by the height of a polyomino one means the number of lines of slope -1 that pass through the centers of the polyomino cells.at n=9A121299
• Primes of the form 4*k^2 + 1.at n=32A121326
• Duplicate of A085319.at n=10A123032
• a(n) is the n-th prime of the form n*x^2+1.at n=15A128970
• Primes of the form 81n^2 - 90n + 26.at n=4A144571
• Primes p such that continued fraction of (1 + sqrt(p))/2 has period 3.at n=53A146348
• a(n) = 81*n^2 - 90*n + 26.at n=21A154295
• a(n) = 6561*n^2 - 9558*n + 3482.at n=3A156773