27361

Properties

Appears in sequences

• Cuban primes: primes which are the difference of two consecutive cubes.at n=41A002407
• Restricted partitions.at n=22A049285
• Class 6+ primes.at n=33A081634
• Number of quasi-triominoes in an n X n bounding box.at n=20A094170
• Hex (or centered hexagonal) numbers that are prime powers of the form (6n+1)^k.at n=42A133323
• Primes p that satisfy s-t < 0 where s = sigma(2*p+1) mod phi(p) and t = sigma(2*p+1) mod p.at n=9A137258
• Smallest primes p = p(k) with (p(k)+p(k+1)+p(k+2))/15 an integer.at n=24A168556
• Primes of the form 2*n^2 + 78*n + 37.at n=17A217501
• Primes p such that q = 2*p^3-1 and 2*p*q^2-1 are both prime.at n=7A224614
• Primes p such that q=2*p^3-1, r=2*p*q^2-1, and s=2*p*r^2-1 are all prime.at n=0A224626
• Primes p such that f(f(p)) is prime, where f(x) = x^4 + x^3 + x^2 + x + 1 = A053699(x).at n=29A237445
• Eighth 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=23A238680
• Number of partitions p of n such that (maximal multiplicity of the parts of p) > (maximal part of p).at n=49A240314
• Smallest prime that is the (sum, k*prime(k),k=m,..n+m-1) for some m, or 0 if no such m exists.at n=26A268467
• Primes p such that both 2p-1 and 2p^2-2p+1 are prime.at n=35A274609
• Primes p such that A001177(p) = (p-1)/6.at n=38A308799
• Numbers k such that -3 is a quadratic residue (not necessarily coprime) modulo k, k + 1, k + 2 and k + 3.at n=16A318527
• a(n)^2 is the start of the first occurrence of n consecutive perfect powers, all of which are squares with exponents equal to 2 (A111245).at n=45A340663
• Primes p where p-1 is in A328596 (reversed binary expansion is an aperiodic necklace) and the same count of numbers smaller than p-1 are found in A328596 as primes smaller than p exist.at n=7A348352
• Number of fundamentally different graceful labelings of the n-sunlet graph.at n=4A387808