57839
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- arctanh(arctan(x)+sin(x))=2*x+13/3!*x^3+553/5!*x^5+57839/7!*x^7...at n=3A012981
- Primes that remain prime through 3 iterations of the function f(x) = 2*x + 1.at n=26A023272
- Denominators of continued fraction convergents to sqrt(119).at n=9A041217
- Denominators of continued fraction convergents to sqrt(476).at n=9A041909
- Primes starting a Cunningham chain of the first kind of length 4.at n=19A059763
- Primes of the form p^2 - p - 1, where p is prime.at n=19A091568
- Primes of the form 4*k-1 such that 8*k-1, 16*k-1 and 32*k-1 are also primes.at n=8A101795
- Primes of the form p^k - p^(k-1) - 1, with p prime and k>1.at n=32A122395
- Primes of the form ((p+1)/2)^2+((p-1)/2), where p is prime.at n=38A163419
- Primes of the form p^2 +3p + 1, where p is also a prime.at n=21A165944
- Primes of the form pq + p + 1 where p < q are adjacent primes.at n=13A180932
- Primes of the form p^2 + q^2 + 21, where p and q are consecutive primes.at n=21A229075
- Primes p such that, in base 17, p = the cumulative sum of the digit-mult(digit-sum(prime)) of each prime < p.at n=1A242478
- Primes of the form p^4+q^4+r^4-4 with p<=q<=r all prime.at n=11A256380
- Number of separable partitions of n in which the number of distinct (repeatable) parts <= 5.at n=47A325714
- a(n) = (p_n + 1)*q_n - 1; where (p_n, q_n) is the n-th twin prime pair.at n=16A328493
- Number of partitions p of n such that max(p) == 2 mod 3.at n=49A373015
- Prime numbersat n=5860