24733
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- a(n) = a(n-1) + a(n-3), with a(0) = a(1) = 1, a(2) = 5.at n=25A011761
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 82 ones.at n=32A031850
- Partial sums of A026905; the convolution of the natural numbers with the partition function.at n=22A085360
- Consider the family of multigraphs enriched by the species of simple graphs. Sequence gives number of those multigraphs with n loops and edges.at n=5A099701
- Primes p such that their cubes are pandigital.at n=22A124629
- Numbers whose trajectory under the Esucarys map ends at the fixed point 247.at n=28A129133
- Primes p of the form : p+p^2+p^3-+8=prime.at n=23A154823
- Honaker primes of the form p = 2*k-1 with sum-of-digits(p) = sum-of-digits(k).at n=11A176111
- Primes with eight embedded primes.at n=31A179916
- Primes p such that A008472(p-1) = A008472(p+1), where A008472 = sum of distinct primes dividing n.at n=2A203182
- Primes that are the sum of three consecutive primes in A034962.at n=39A207527
- Primes of the form x^3 + y^3 + 1, where x and y are primes.at n=8A214175
- Primes of the form 2*n^2 + 70*n + 33.at n=8A217499
- Smallest of four consecutive primes whose average is a triangular number.at n=22A226155
- Prime numbers P such that 8*P^2-1 and 8*(8*P^2-1)^2-1 are also prime numbers.at n=39A245674
- Number of length 5 1..(n+2) arrays with no leading or trailing partial sum equal to a prime and no consecutive values equal.at n=12A254222
- Number of nonary sequences of length n such that no two consecutive terms have distance 1.at n=5A287816
- Yarborough primes that remain Yarborough primes when each of their digits are replaced by their cubes.at n=38A296563
- Primes p not of the form k^2+s where k > 1 and 1 <= s < (k+1)^2, such that q = k^4+s is prime.at n=34A302485
- T(n,k) is the k-th integer j > 1 such that the sum of digits of n^j is a power of n (or -1 if no such k-th integer exists); table read by downward antidiagonals.at n=59A358667