32441
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Smallest prime in n-th shell of prime spiral.at n=30A053998
- Expansion of g.f. (x^2+x+1)*(2*x^2+2*x+1)*(x-1)^2/((1-x^2-2*x^3)*(x^4+1)).at n=28A107850
- Sum of the sizes of the Durfee squares of all partitions of n.at n=33A115995
- The 10^n-th twin prime, A001097(10^n).at n=3A147797
- a(1) = 3. For n > 1, Ulam's spiral is started with a(n-1), and the primes p on the NE spoke are considered. a(n) is the minimal p that is the lesser of a twin prime pair.at n=35A163586
- Primes of the form 3*m^2 - 7.at n=17A201718
- Primes of the form n^2 + pi(n).at n=27A228865
- Numbers n such that triangular numbers T(n), T(n+1) and T(n+2) are 3-almost primes.at n=15A255200
- a(n) = A273059(4n+3).at n=31A275919
- Lesser of twin primes (A001359) being both half-period primes (A097443).at n=33A347225
- Primes that are the concatenation of a square and a prime that is the concatenation of two squares.at n=24A364359
- Prime numbersat n=3482