48413
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Smallest nontrivial extension of n-th square which is a prime.at n=21A030685
- Numerators of 6*((Sum_{k=1..n} 1/binomial(2*k,k)) - 1/3), n >= 1.at n=7A130547
- Centered 1729-gonal numbers.at n=7A130876
- Primes of the form k^2 + 13.at n=34A138375
- Primes arising in A144730.at n=3A144731
- Primes of the form 20n^2+8n+1.at n=19A154405
- The number of permutations of length n sortable by 2 block transpositions.at n=12A228392
- a(n) is the minimum positive integer m such that m * 2^(n + 2) + 1 is a prime number which does not divide ((F(n + 2) - 1)^m - 1)/(F(n + 2) - 2), where F(n) is the n-th Fermat number (A000215).at n=27A308695
- a(n) is the start of the first occurrence of exactly n consecutive zeroless primes (A038618).at n=37A384793
- Prime numbersat n=4981