49639
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Number of partitions of n into parts not of the form 17k, 17k+8 or 17k-8. Also number of partitions with at most 7 parts of size 1 and differences between parts at distance 7 are greater than 1.at n=45A035969
- Numbers k whose sum of digits exceeds the sum of the digits of k^3.at n=8A064209
- Prime sums of 4 positive 5th powers.at n=28A123033
- Sum of the digits of n exceeds the sum of the digits of n^2 and the sum of digits of n^3.at n=0A258320
- Number of 6Xn arrays containing n copies of 0..6-1 with every element equal to or 1 greater than any north, northeast or northwest neighbors modulo 6 and the upper left element equal to 0.at n=13A267267
- Primes p that remain prime through 3 iterations of function f(x) = 6x - 1.at n=38A289109
- Prime numbersat n=5099