28571
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- a(n) = next prime after n^4.at n=12A053786
- Number of polyominoes with n cells, symmetric about two orthogonal axes.at n=33A056877
- Numerator of Sum_{k=1..n} d(k)/k, where d() = A000005().at n=10A060436
- Minimal representatives for the finite cycles in the permutation defined by A064413.at n=11A064794
- Smallest prime p such that sum of p and the next n-1 primes is a perfect square, or 1 if no such prime exists.at n=45A073887
- Let n range through the odd numbers skipping multiples of 5; a(n) = n-th prime ending in n.at n=28A089779
- Number of partitions of n in which the sequence of frequencies of the summands is nondecreasing.at n=44A100883
- Smallest prime in a sequence of n consecutive primes which add to a perfect square.at n=44A132955
- Primes of the form k^2 + 10.at n=27A138355
- Primes of the form (p^2+2)/33 (with p prime).at n=13A165673
- The lesser of twin primes p such that p*q+a+b+c are also the lesser of twin primes, (p and q are twin primes, p+2=q, a=p-1,b=(p+q)/2,c=q+1).at n=22A168536
- Euler transform of the swinging factorial A056040.at n=12A190905
- Numbers that can be formed using its own digits in order and only addition and fourth power operators.at n=23A195672
- Primes of the form 6n^2 + 5.at n=25A201600
- The first member of a twin prime pair whose sum equals the sums of two consecutive smaller pairs of twin primes.at n=40A225943
- The prime(n)-th prime number ending in prime(n), or 0 if none exists.at n=19A238331
- Integers n such that n+2!, n+2!+3!, n+2!+3!+4!, n+2!+3!+4!+5!, n+2!+3!+4!+5!+6!, and n+2!+3!+4!+5!+6!+7! are all prime.at n=22A267123
- G.f. A(x) satisfies: A(x) = Sum_{n>=0} (1 + x*(1+x)^n)^n * x^n / A(x)^n.at n=13A337720
- Prime numbers of the form floor((j/7)*10^k) where 1 <= j <= 6 and k >= 1.at n=7A343833
- a(n) = floor(((n mod 6)+1) * 10^floor((n/6)+1) / 7).at n=25A343915