51577
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Lesser member p of cousin primes (p, p+4) such that (p+1, p+2, p+3) all have the same number of prime divisors (counted with multiplicity).at n=33A094230
- Smallest of 3 consecutive prime numbers such that p1*p2*p3+d1+d2+1=average of twin prime pairs, d1(delta)=p2-p1,d2(delta)=p3-p2.at n=6A153406
- Let p_(4,1)(m) be the m-th prime == 1 (mod 4). Then a(n) is the smallest p_(4,1)(m) such that the interval(p_(4,1)(m)*n, p_(4,1)(m+1)*n) contains exactly one prime == 1 (mod 4).at n=40A210475
- Primes p for which there are exactly as many primes in the range [p^2, p*nextprime(p)] as there are in the range [p*nextprime(p), nextprime(p)^2], where nextprime(p) gives the next prime after prime p.at n=42A256472
- Primes having only {1, 5, 7} as digits.at n=43A260828
- Expansion of Sum_{k>=0} x^(k^2) / Product_{j=1..k} (1 - x^j)^j.at n=43A318771
- Number of conjugacy classes of the symplectic group Sp(2n, 2) over the field with 2 elements.at n=12A346848
- Prime numbersat n=5278