45523
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Primes p such that 2^p-1 and the p-th Fibonacci number have a common factor. Prime terms of A074776.at n=19A080050
- Primes p such that none of p-2, p-1, p+1, and p+2 is squarefree.at n=21A153215
- Number of 12X2 integer matrices with each row summing to zero, row elements in nondecreasing order, rows in lexicographically nondecreasing order, and the sum of squares of the elements <= 2*n^2 (number of collections of 12 zero-sum 2-vectors with total modulus squared not more than 2*n^2, ignoring vector and component permutations).at n=13A192713
- Number of zero-sum -4..4 arrays of n elements with adjacent element differences also in -4..4.at n=6A202248
- T(n,k)=Number of zero-sum -k..k arrays of n elements with adjacent element differences also in -k..k.at n=51A202252
- Number of zero-sum -n..n arrays of 7 elements with adjacent element differences also in -n..n.at n=3A202257
- First primes beginning a chain of 4 primes indexed equidistantly (n-th, (n+b)-th, (n+2b)-th, (n+3b)-th primes) whose sum of squares is the square of two times a prime and with b <= n.at n=31A214265
- Prime numbers p such that p - primepi(p) is a square, where primepi is the prime counting function.at n=26A245061
- Primes of the form 10n^2 - 90n + 163.at n=40A256376
- Number of partitions of n into colored blocks of equal parts, such that all colors from a set of size five are used and the colors are introduced in increasing order.at n=20A327288
- Prime numbersat n=4719