30727
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 92 ones.at n=31A031860
- Number of partitions of n into parts not of the form 21k, 21k+8 or 21k-8. Also number of partitions with at most 7 parts of size 1 and differences between parts at distance 9 are greater than 1.at n=40A035986
- List of codewords in binary lexicode with Hamming distance 7 written as decimal numbers.at n=28A075937
- Number of nondecreasing integer sequences of length 22 with sum zero and sum of absolute values 2n.at n=14A158156
- a(n) is the smallest prime p beginning with 2n such that the difference between p and the next prime is 2n.at n=14A162357
- Primes p=prime(i) of level (1,4), i.e., such that A118534(i) = prime(i-4).at n=11A216177
- Primes p such that 4*p is greater than the greatest prime factor of p^4 -1 and p^4 + 1.at n=5A218849
- Number of (n+1)X(1+1) 0..2 arrays with the maximum plus the upper median of every 2X2 subblock equal.at n=4A236895
- Number of (n+1)X(5+1) 0..2 arrays with the maximum plus the upper median of every 2X2 subblock equal.at n=0A236899
- T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with the maximum plus the upper median of every 2X2 subblock equal.at n=10A236902
- T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with the maximum plus the upper median of every 2X2 subblock equal.at n=14A236902
- Primes obtained by merging 5 successive digits in the decimal expansion of sqrt(2) + sqrt(3) + sqrt(5).at n=11A241221
- 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=28A284669
- Number of rooted trees with n vertices that are not identity trees but whose non-leaf terminal subtrees are all different.at n=14A324979
- Primes dividing nonzero terms in A002065.at n=35A328704
- Primorial base emirps: prime numbers whose primorial base reversal is a different prime.at n=35A333425
- a(n) is the first prime p such that each of the first n primes divides at least one of the composites between p and the next prime, but prime(n+1) does not divide any of these.at n=22A341640
- a(n) is the first prime p such that each of the first n primes divides at least one of the composites between p and the next prime.at n=22A341650
- Prime numbersat n=3315