50857
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Indices of primes at which the prime race 4k-1 vs. 4k+1 is tied.at n=38A038691
- Numbers whose base-15 representation has exactly 5 runs.at n=6A043672
- Largest prime factor of n^4 + 1.at n=37A096172
- Primes from merging of 5 successive digits in decimal expansion of the Euler-Mascheroni Constant.at n=30A104939
- Monotonic ordering of nonnegative differences 9^i-2^j, for 40>= i>=0, j>=0.at n=38A192123
- Primes from merging of 5 successive digits in decimal expansion of Euler-Mascheroni constant.at n=32A198779
- Primitive prime factors of the cyclotomic polynomial sequence Phi(8,k) in the order in which they occur.at n=42A256145
- Primes of the form 3^j - 2^k, for j>=0, k>=0.at n=27A323698
- Sum of the fourth largest parts of the partitions of n into 10 parts.at n=47A326595
- a(n) = a(n-2) + a(n-1) if that sum is prime. Otherwise, a(n) = a(n-2) + a(n-1) + prime(m-1) + prime(m-2) + ... + prime(s), where a(-1) = a(0) = prime(0) = 1, m = pi(a(n-2)), and s = max(0, 1, 2, ..., m-1) such that the sum is prime.at n=12A337347
- Primes p such that (p^128 + 1)/2 is prime.at n=32A341230
- a(n) = Sum_{k=0..n} 2^k * binomial(3*n+1,k) * binomial(3*n-k,n-k).at n=4A384338
- Primes having only {0, 5, 7, 8} as digits.at n=30A386079
- Prime numbersat n=5209