40841
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Numbers k such that the continued fraction for sqrt(k) has odd period and if the last term of the periodic part is deleted the two central terms are both 13.at n=33A031601
- Sum_{k<=n} (sigma(k)^2), where sigma(k) denotes the sum of the divisors of k A000203.at n=34A072379
- Primes which occur as the difference of consecutive prime powers >1 as and when they occur.at n=22A073652
- Primes which are the difference between two successive nontrivial prime powers (A025475).at n=18A076047
- Initial term in sequence of four consecutive primes separated by 3 consecutive differences each <=6 (i.e., when d = 2, 4 or 6) and forming d-pattern=[6,2,4]; short d-string notation of pattern = [624].at n=11A078853
- Largest prime factor of A096421(n).at n=27A097365
- Primes p such that p^4 + p +/- 1 are twin primes.at n=20A236951
- Primitive prime factors of the cyclotomic polynomial sequence Phi(5,k) in the order in which they occur.at n=19A256153
- Array read by antidiagonals: A(n,k) is the number of nonnegative integer matrices with k columns and any number of distinct nonzero rows with column sums n and columns in nonincreasing lexicographic order.at n=52A331572
- Number of nonnegative integer matrices with 2 columns and any number of distinct nonzero rows with column sums n and columns in nonincreasing lexicographic order.at n=7A331711
- Lexicographically earliest infinite sequence of distinct primes such that, for n > 0, 2n | (a(n+1) - a(n)) and, for n > 0, b(n+1) > b(n) where b(n) = (a(n+1) - a(n)) / 2n.at n=28A350392
- Primes having only {0, 1, 4, 8} as digits.at n=35A386030
- Prime numbersat n=4276