82721

Properties

Appears in sequences

• Prime quadruples: numbers k such that k, k+2, k+6, k+8 are all prime.at n=34A007530
• Expansion of e.g.f.: exp(sin(sinh(x))).at n=11A009202
• Start of a string of exactly 3 consecutive (but disjoint) pairs of twin primes.at n=12A035791
• Primes at which the difference pattern X,2,4,2,Y (X and Y >= 6) occurs in A001223.at n=19A052165
• Lesser of the first pair of three successive prime pairs (no isolated primes occur in between). Least of the six successive primes which are member of prime pairs.at n=19A090953
• First of six consecutive primes that are three sets of twin primes.at n=18A136143
• Expansion of g.f.: 1/(1 - x - 2*x^2 + x^3 + x^4 + 2*x^7 - 5*x^9 + 2*x^11 + x^14 + x^15 - 2*x^16 - x^17 + x^18).at n=24A147622
• G.f.: exp( Sum_{n>=1} A181411(n)*x^n/n ) where A181411(n) = Sum_{k=0..n} C(n,k)*sigma(n+k).at n=9A181410
• Prime numbersat n=8083