42853

Properties

Appears in sequences

• a(n) = ceiling(n*phi^17), where phi is the golden ratio, A001622.at n=12A004972
• Primes of form k^2 + 4.at n=35A005473
• Primes that remain prime through 3 iterations of function f(x) = 8x + 9.at n=16A023295
• Larger terms of the pairs (a < b) in the sequence {a,b}-> {Max[{a,b}]-Min[{a,b}],k*Min[{a,b}]} with k=3 and the first pair {a=1,b=2}. See A075256.at n=45A075258
• Numbers k such that k + sum_of_digits(k) is a cube.at n=32A084661
• Primes of the form n^2 + 4n + 8.at n=34A098062
• Primes p such that the largest prime factor of p^5 + 1 is less than p.at n=14A102327
• Primes in A152535.at n=30A152563
• Primes of the form 9n^2 + 4.at n=12A201706
• Irregular triangular array: row n gives numbers D, each being the discriminant of the minimal polynomial of a quadratic irrational represented by a continued fraction with period an n-tuple of 1s and 3s.at n=44A246921
• Irregular triangular array: every periodic simple continued fraction CF represents a quadratic irrational (c + f*sqrt(d))/b, where b,c,f,d are integers and d is squarefree. Row n of this array shows the distinct values of d as CF ranges through the periodic continued fractions having period an n-tuple of 1s and 3s.at n=44A246922
• Number of times that the numerator of a sum generated from the set 1, 1/2, 1/3,..., 1/n is a Fibonacci number.at n=31A256220
• Prime numbersat n=4481