30427
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Number of positive integers <= 2^n of form 8 x^2 + 9 y^2.at n=19A054191
- Primes from merging of 5 successive digits in decimal expansion of exp(2).at n=1A105001
- Primes of the form 5n^2 + 7.at n=7A201485
- Coefficient of x^2 in the minimal polynomial of the continued fraction [1^n,sqrt(2),1,1,...], where 1^n means n ones.at n=6A266712
- Decimal representation of the middle column of the "Rule 109" elementary cellular automaton starting with a single ON (black) cell.at n=14A267210
- a(n) = initial term of an arithmetic progression of nine primes used to form a 3 X 3 magic square with magic sum A269324(n).at n=33A269325
- Solution of the complementary equation a(n) = a(n-1) + a(n-2) + b(n-1) + b(n-2) + 2*n, where a(0) = 1, a(1) = 2, b(0) = 3, and (a(n)) and (b(n)) are increasing complementary sequences.at n=16A294558
- Primes that are palindromes in primorial base.at n=20A333424
- Numbers k such that 24*k-1 has at least three factors 7 and the partition function evaluated at k has at least the same number of factors 7 as 24*k-1.at n=38A340957
- Triangle T(n,k) in which the n-th row encodes the inverse of a 3n X 3n Jacobi matrix, with 1's on the lower, main, and upper diagonals in GF(2), where the encoding consists of the decimal representations for the binary rows (n >= 1, 1 <= k <= 3n).at n=31A363146
- Prime numbersat n=3286