25471
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Number of combinatorial types of simplicial n-dimensional polytopes with n+3 nodes.at n=16A000943
- Lower prime of the second gap of 2n between primes.at n=25A046789
- a(n) = a(1) + a(2) + ... + a(n-1) - a(m) for n >= 4, where m = 2*n - 2 - 2^(p+1) and p is the unique integer such that 2^p < n - 1 <= 2^(p+1), starting with a(1) = a(2) = 1 and a(3) = 4.at n=17A049899
- Numbers n such that 283*2^n-1 is prime.at n=8A050900
- Smallest prime in n-th shell of prime spiral.at n=27A053998
- Smallest primes whose residue modulo its difference from the next prime is 2n-1.at n=21A060235
- Primes for which the five closest primes are smaller.at n=15A075037
- Primes for which the six closest primes are smaller.at n=5A075038
- Primes for which the seven closest primes are smaller.at n=1A075043
- a(n) is the smallest prime p of the form 4k+3 such that nextprime(p) - p = 4n.at n=12A082098
- Primes p such that (r-p)/log(p) > 4, where r is the next prime after p.at n=6A082889
- Primes p such that (r-p)/log(p) > 5, where r is the next prime after p.at n=1A082890
- Primes whose 10's complement is a square.at n=6A083004
- Middle q of three consecutive primes p,q,r, such that one adjacent prime is near, the other is far and the ratio of the differences (whichever of (r-q)/(q-p) or (q-p)/(r-q) is greater than 1) sets a record.at n=12A084105
- Primes p having exactly one partition into distinct divisors of p+1.at n=40A085499
- Number of n-crossing links with alternating braids of 3 strands.at n=17A094029
- Number of n-crossing 2 component links with alternating braids of 3 strands.at n=17A094031
- prime(k) for those k where floor((2*(prime(k+1)-prime(k))*PrimePi(k) mod (8*k))/k) = m with m = 15.at n=1A109569
- Numbers appearing in A122072 at least four times.at n=15A122390
- a(n) is the largest prime < 3*a(n-1) for n > 1, with a(1) = 2.at n=9A126031