47059
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Euclid-Mullin sequence (A000945) with initial value a(1)=31 instead of a(1)=2.at n=5A051315
- n sets a record for the number of primes in {n, f(n), f(f(n)), ..., 1}, where f is the Collatz function defined by f(x) = x/2 if x is even; f(x) = 3x + 1 if x is odd.at n=15A078373
- a(n) is the 6th term in Euclid-Mullin (EM) prime sequence initiated with n-th prime.at n=10A094462
- Primes p such that p - 6 is a product of two consecutive primes.at n=18A098061
- Primes p such that q-p = 28, where q is the next prime after p.at n=36A124595
- The smallest positive integer that produces exactly n primes in a Collatz trajectory.at n=49A181921
- a(n) = floor(1/{(10+n^4)^(1/4)}), where {}=fractional part.at n=48A184634
- Numbers n that can be expressed as the sum of the arithmetic derivatives of k previous numbers starting from n for some k >= 1.at n=10A187807
- Primes of the form 7n^2 - 9.at n=17A201854
- Principal diagonal of the convolution array A213762.at n=10A213763
- Prime factors of Giuga numbers A007850 with 8 or fewer prime divisors.at n=20A216823
- Prime factors of the first 8 primary pseudoperfect numbers A054377.at n=11A216825
- Largest prime factor of the n-th primary pseudoperfect number A054377(n).at n=5A216826
- Number of nX3 0..3 arrays with row sums nondecreasing and column sums unimodal.at n=2A224121
- T(n,k) is the number of n X k 0..3 arrays with row sums nondecreasing and column sums unimodal.at n=12A224123
- Number of 3Xn 0..3 arrays with row sums nondecreasing and column sums unimodal.at n=2A224125
- Twin primes p, p+2 such that p+1 is a primary pseudoperfect number.at n=5A235139
- List of primes generated by factoring successive primary pseudoperfect numbers (A054377).at n=20A236433
- List of primes generated by factoring successive primary pseudoperfect numbers (A054377).at n=33A236433
- Table whose n-th row lists the prime factors of the n-th Giuga number A007850(n).at n=62A236434