41759

Properties

Appears in sequences

• Lesser of twin balanced primes (A090403).at n=19A096694
• Numbers n such that 8*10^n + 2*R_n + 1 is prime, where R_n = 11...1 is the repunit (A002275) of length n.at n=23A103075
• Lesser p of twin primes (p,q) such that there exists an integer between sqrt(2p) and sqrt(2q).at n=24A145701
• Primes p such that continued fraction of (1 + sqrt(p))/2 has period 16 : primes in A146339.at n=18A146361
• Twin prime pairs p, p+2 such that p+(p+2)+1 and p*(p+2)+1 are both square.at n=28A166564
• Values x for records of the minima of the positive distance d between the ninth power of a positive integer x and the square of an integer y such that d = x^9 - y^2 (x <> k^2 and y <> k^9).at n=32A179791
• E.g.f. A(x) satisfies: Laplace(A(x)) = Sum_{n>=0} Laplace(A(x)^n) * x^n.at n=9A204190
• Number T(n,k) of permutations of [n] with exactly k (possibly overlapping) occurrences of some of the consecutive step patterns UUD, UDU, DUU (U=up, D=down); triangle T(n,k), n>=0, 0<=k<=max(0,n-3), read by rows.at n=38A231384
• Number of permutations of [n] with exactly n-3 (possibly overlapping) occurrences of some of the consecutive step patterns UUD, UDU, DUU (U=up, D=down).at n=7A231410
• Lesser of consecutive primes whose sum is of the form k*(k+2), for some integer k.at n=33A242384
• Primes p such that 2*prime(p) + 1 = prime(q) for some prime q.at n=39A261361
• Numbers k such that (28*10^k - 31)/3 is prime.at n=21A293280
• Expansion of Product_{r = 1 or not a perfect power} 1/(1 - x^r).at n=49A305630
• Primes p such that p*nextprime(p)+1 and p + nextprime(p)+1 are both perfect squares where nextprime(p) is the smallest prime that is larger than p.at n=14A375912
• Prime numbersat n=4366