19237

Properties

Appears in sequences

• Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 94 ones.at n=15A031862
• Number of partitions of 5n such that cn(1,5) = cn(4,5) < cn(2,5) = cn(3,5) < cn(0,5).at n=14A036895
• Prime(n) and prime(n+4) use the same digits.at n=17A069796
• Prime Fibonacci sequence: each term is the prime with index equal to the sum of the previous two terms.at n=6A107327
• Primes congruent to 3 mod 59.at n=37A142730
• Primes congruent to 22 mod 61.at n=36A142820
• Number of binary strings of length n with equal numbers of 000 and 101 substrings.at n=17A164140
• Primes p such that p plus or minus the sum of the fourth powers of its digits is a prime in both cases.at n=29A179595
• Number of (n+2) X 5 0..2 arrays with every 3 X 3 subblock commuting with each horizontal and vertical neighbor 3 X 3 subblock.at n=9A186562
• Primes p of the form p = prime(n) + prime(n+1) - 5 and p = prime(k) + prime(k+1) + 5.at n=37A207992
• Unique terms in sequence A210144.at n=38A214196
• Emirps whose binary conversion remains emirp when read in decimal.at n=12A226972
• Primes of the form (k^2+7)/11.at n=23A242930
• Non-palindromic balanced primes in base 2.at n=35A256081
• Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 374", based on the 5-celled von Neumann neighborhood.at n=35A271459
• Numbers n such that there is precisely 1 group of order n, 2 of order n + 1 and 3 of order n + 2.at n=11A296024
• E.g.f. A(x) satisfies: A(x) = Sum_{n>=0} (exp(n*x) + A(x))^n * x^n/n!.at n=5A326554
• Numbers that are the sum of eight fourth powers in eight or more ways.at n=26A345583
• Numbers that are the sum of eight fourth powers in exactly eight ways.at n=18A345840
• a(n) = Sum_{k=1..n} n^(k'), where ' is the arithmetic derivative.at n=6A348376