30497
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Numbers k such that the continued fraction for sqrt(k) has period 89.at n=30A020428
- Sum of composite numbers between prime p and nextprime(p) is palindromic.at n=31A054266
- Sum of composite numbers between prime p and nextprime(p) is palindromic with restriction 'p + 1 <> sum'.at n=19A054267
- Solutions k of the equation phi(k) = phi(k-1) + phi(k-2). Also known as Phibonacci numbers.at n=24A065557
- Prime numbers p for which the quintic polynomial x^5 - x - 1 modulo p completely factors into linear polynomials.at n=25A135844
- Prime numbers p not of the form 10*k+1 for which the quintic polynomial x^5-x-1 modulus p is factorizable into five binomials.at n=20A135845
- Primes p such that 2*p^4+-9 are also prime.at n=18A174365
- Primes of the form 5*x^2 - 3*y^2, where x and y are consecutive numbers.at n=30A176470
- Number of 5-step one space for components leftwards or up, two space for components rightwards or down asymmetric quasi-bishop's tours (antidiagonal moves become knight moves) on an n X n board summed over all starting positions.at n=16A187609
- Primes of the form 7n^2 + 5.at n=4A201606
- Lesser of consecutive primes whose average is a palindromic number.at n=42A242387
- Primes of form n^2 + 28561.at n=7A256841
- Primes p such that phi(p) = phi(p-2) + phi(p-1); Phibonacci primes.at n=20A266164
- Primes whose base-8 representation is a perfect square in base 10.at n=12A267490
- Primes p = x^2 + y^2 such that x - y is a cube greater than one.at n=38A282405
- Number of multimin tree-factorizations of Heinz numbers of integer partitions of n.at n=7A319119
- Number of integer partitions of n with more than one part of least multiplicity.at n=40A362609
- Prime numbersat n=3293