26693
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Balanced primes of order four.at n=33A082079
- Primes in which no digit is coprime to its neighbors.at n=39A088297
- Least initial value for a Euclid/Mullin sequence whose 3rd term (= least prime divisor of 1+2p) equals the n-th prime. prime(1)=2 is never a third term, so offset=2.at n=43A094464
- Value of C in y = x^2+7x+C such that y is prime for all x = 0 to 4.at n=29A097436
- Let H(n) be the reduced fraction Sum_{i=1..n} 1/i. a(n) is the least factor of H(n)'s numerator or denominator that doesn't divide either part of any earlier H(m).at n=56A113571
- Balanced primes p of the form (r+q+s-1)/2, where r, q, s are consecutive primes.at n=8A129191
- Primes of the form 5*x^2 - 2*y^2, where x and y are successive natural numbers.at n=14A177077
- Primes with the property that the sum of the cubes of their digits plus the prime equals another prime squared.at n=5A228195
- Second prime p such that (p+n)^2+n is prime but (p+j)^2+j is not prime for all 0<j<n.at n=32A238674
- Least prime divisor of T(n) which does not divide any T(k) with k < n, or 1 if such a primitive prime divisor of T(n) does not exist, where T(n) is the n-th central trinomial coefficient given by A002426.at n=16A242170
- Primes of the form 2*n^2 + 62*n + 29.at n=23A243891
- Primes which are the average of the two adjacent primes and also of the two adjacent squarefree numbers.at n=24A245589
- Numbers k such that R_k + 50 is prime, where R_k = 11...1 is the repunit (A002275) of length k.at n=11A256723
- Certain directed lattice paths.at n=7A260772
- Primes of the form k*(k+2)/3 - 3, k>2.at n=32A262203
- Fixed points of A275957; numbers n for which A060125(n) = A225901(n).at n=53A275843
- Greatest of 4 consecutive primes with consecutive gaps 2, 4, 6.at n=29A290706
- a(n) = Sum_{d|n} 2^(d-1) * d^(n/d).at n=11A359730
- Prime numbersat n=2927