47441

Properties

Appears in sequences

• Let A(n) = #{(i,j): i^2 + j^2 <= n}, V(n) = Pi*n, P(n) = A(n) - V(n); A000099 gives values of n where |P(n)| sets a new record; sequence gives A(A000099(n)).at n=37A000323
• Let A(n) = #{(i,j): i^2 + j^2 <= n}, V(n) = Pi*n, P(n) = A(n) - V(n); A000099 gives values of n where |P(n)| sets a new record; sequence gives A(A000099(n)).at n=38A000323
• Numerators of continued fraction convergents to sqrt(214).at n=10A041398
• Primes of the form 16k+1 generated recursively. Initial prime is 17. General term is a(n)=Min {p is prime; p divides (2Q)^8 + 1}, where Q is the product of previous terms in the sequence.at n=1A125040
• Primes of the form 48k+17 generated recursively. Initial prime is 17. General term is a(n)=Min {p is prime; p divides (2Q)^8 + 1; Mod[p,48]=17}, where Q is the product of previous terms in the sequence.at n=1A125042
• Primes of the form 8n^2 + 9.at n=27A201705
• Primes p such that p^4 + p + 1 and p^4 - p - 1 are also prime.at n=28A236073
• Primes obtained by merging 5 successive digits in the decimal expansion of sqrt(2) + sqrt(3) + sqrt(5).at n=0A241221
• Number of primes between pairs of consecutive highly composite numbers (A002182).at n=42A333725
• First member of the least set of 3 consecutive primes such that the sum of each pair of consecutive primes in this set is a multiple of n.at n=24A382698
• Prime numbersat n=4892