29017

Properties

Appears in sequences

• Primes at which the difference pattern X424Y (X and Y >= 6) occurs in A001223.at n=29A052166
• Primes p such that the differences between the 5 consecutive primes starting with p are (4,2,4,6).at n=10A078952
• Smallest number which requires n iterations to reach 1 in the juggler sequence problem.at n=35A094670
• Primes p1 such that p1^2+p2^3=pp are average of twin primes. p1 and p2 consecutive primes, p1 < p2.at n=28A138715
• Primes that are the sum of 25 consecutive primes.at n=35A215991
• Primes p such that 2*p^2 + 3 and 2*p^2 + 5 are also primes.at n=25A247197
• Primes of form n^2 + 20736.at n=6A256840
• Primes p(n) such that p(n) + p(n+3) = p(n+1) + p(n+2) and p(n) + p(n+4) = p(n+2) + p(n+3).at n=22A266882
• a(n) = ((n+2)/2)*Sum_{k=0..n/2}(Sum_{i=0..n-2*k} binomial(k+1,n-2*k-i)*binomial(k+i,k))/(k+1).at n=16A270715
• G.f.: 1/(1+x) * Product_{k>=1} 1/(1-x^k)^k.at n=19A277963
• Expansion of 1/(2 - Product_{k>=2} (1 + x^k)).at n=21A307067
• Number of circular binary sequences of length n with an even number of 0's and no three consecutive 1's.at n=17A366044
• Primes p such that the prime triple (p, p+2 or p+4, p+6) generates a prime number when the digits are concatenated.at n=26A375313
• Triangle read by rows: T(m,n) is the number of Hamiltonian cycles on m X n torus where each step goes north or east or northeast; 2 <= n <= m.at n=13A391478
• Prime numbersat n=3155