42181

Properties

Appears in sequences

• Concatenate n with n-th prime.at n=41A045532
• Initial term in sequence of four consecutive primes separated by 3 consecutive differences each <=6 (i.e., when d = 2, 4 or 6) and forming d-pattern = [6, 6, 4]; short d-string notation of pattern = [664].at n=27A078858
• Primes which are a concatenation of n and prime(n).at n=12A084667
• Lesser member p of sexy primes (p, p+6) such that (p+1, p+2, p+3, p+4, p+5) all have the same number of prime divisors (counted with multiplicity).at n=1A094231
• Smallest prime such that n*k(n)^2+n*k(n)+1 is a prime > (n-1)*k(n-1)^2+(n-1)*k(n-1)+1 with k(n)>1 or 0 if n=4 as no prime possible.at n=29A104995
• Primes p2 such that p1^3 + p2^2 is an average of twin primes and p1 < p2 are consecutive primes.at n=25A138755
• Greater of twin primes p2 such that p1^3+p2^2=pp is the average of twin primes. p1 and p2 twin primes, p1 < p2.at n=4A139779
• a(n) = 111*n^2 - 3123*n + 10753.at n=36A211607
• Number of (w,x,y) with all terms in {0,...,n} and max(w,x,y) >= 2*min(w,x,y).at n=37A213390
• Indices where A092243 strictly changes sign.at n=14A269737
• Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 625", based on the 5-celled von Neumann neighborhood.at n=33A273272
• Prime numbersat n=4409