44651
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Number of partitions of n into parts not of the form 21k, 21k+6 or 21k-6. Also number of partitions with at most 5 parts of size 1 and differences between parts at distance 9 are greater than 1.at n=43A035984
- Primes of the form 3*m^2 - 1.at n=30A089682
- Primes of the form 12*n^2-1.at n=29A143830
- a(0) = 1; for n > 0, a(n) = 41*n^2 + 2.at n=33A206399
- Primes of the form 2*n^2 + 74*n + 35.at n=16A217500
- Primes p such that p^2 is the concatenation of two k-digit primes where k is half the length of p^2.at n=35A248046
- Primes p such that p-1 is a partial sum of A014574.at n=20A343711
- G.f.: 1/Product_{k>=1} (1 - x^(2*k^2)) * (1 - x^k).at n=34A385011
- Prime numbersat n=4642