30059

Properties

Appears in sequences

• Primes of the form 36*n^2 - 810*n + 2753, n >= 0, sorted.at n=27A022464
• Primes of the form 36*k^2 - 810*k + 2753, listed in order of increasing parameter k >= 0.at n=27A050268
• Doubly balanced primes: primes which are averages of both their immediate and their second neighbors.at n=3A051795
• Primes p such that p-12, p and p+12 are consecutive primes.at n=29A053072
• Smallest prime in n-th shell of prime spiral.at n=29A053998
• Numbers n such that n and prime(n) end with the same three digits.at n=28A067841
• Number of unconstrained walks on square lattice trapped after n steps.at n=13A078528
• Duplicate of A051795.at n=3A081416
• Antidiagonal sums of table A083362.at n=38A083364
• Second occurrence where n# + p is prime for primes p = 3,5,...at n=5A097444
• a(n) = 36*n^2 - 810*n + 2753, producing the conjectured record number of 45 primes in a contiguous range of n for quadratic polynomials, i.e., abs(a(n)) is prime for 0 <= n < 44.at n=41A117081
• Primes of the form : (p-n)/(n+1)=prime and (n+1)*p+n=prime. n=4.at n=37A152294
• The smallest prime q > p = prime(n) such that p*(q-p)+q, p*(q-p)-q, q*(q-p)+p and q*(q-p)-p are simultaneously prime, or 0 if no such q exists.at n=19A180481
• Number k such that k^2 + 1 = p*q*r where p,q,r are distinct primes and the sum p+q+r is a perfect square.at n=15A261529
• P(n,k) is an array read by rows, with n > 0 and k=1..5, where row n gives the chain of 5 consecutive primes {p(i), p(i+1), p(i+2), p(i+3), p(i+4)} having the symmetrical property p(i) + p(i+4) = p(i+1) + p(i+3) = 2*p(i+2) for some index i.at n=17A267028
• Primes p such that p and prime(p) end with the same three digits.at n=7A271045
• a(n) = smallest prime q such that Sum_{primes p <= q} 1/sqrt(p) >= n.at n=43A292775
• Balanced primes of order one ending in 9.at n=9A303095
• Number of compositions (ordered partitions) of n into centered hexagonal numbers (A003215).at n=48A322802
• Primorial base emirps: prime numbers whose primorial base reversal is a different prime.at n=14A333425