737281
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- a(n) = 3*n*2^(n-1) + 1.at n=15A048474
- Smallest prime p with bigomega(p-1)=n, where bigomega(m)=A001222(m) is the number of prime divisors of m (counted with multiplicity).at n=17A073919
- Primes arising in A083769.at n=6A083770
- Primes of the form k^3 + (k+1)^2.at n=31A100662
- Let H(n) be the reduced fraction Sum_{i=1..n} 1/i. a(n) is the least factor of H(n)'s numerator or denominator that doesn't divide either part of any earlier H(m).at n=38A113571
- Primes of the form 5k^2 + 1.at n=23A137530
- Primes p such that (p+3839)/3840 is also a prime number.at n=15A162141
- Primes of the form (p-1)^3/8 + (p+1)^2/4 where p is prime.at n=14A163424
- Least prime p such that H(n) == 0 (mod p) but H(k) == 0 (mod p) for no 0 < k < n, or 1 if such a prime p does not exist, where H(n) denotes the n-th harmonic number sum_{k=1..n}1/k.at n=38A242223
- Nonstandard Jacobi primes.at n=13A275879
- Three-column array read by rows: the first row consists of the first two primes, p = 2 and q = 3, and their sum s = p + q = 5; afterwards the (n+1)-st row consists of the smallest pair of consecutive primes whose sum is a multiple of the sum in the n-th row followed by their sum.at n=34A284669
- Smallest prime factor of A001008(n), numerator of n-th harmonic number; a(1) = 1.at n=38A308970
- Prime numbersat n=59324