55291

Properties

Appears in sequences

• Prime powers such that 1 + lcm(1,2,...,p^w) is prime.at n=23A051453
• Primes p such that p+5==0 (mod phi(p+5)).at n=36A067542
• Numerator of the expansion of e^(x + x^2 + x^3 + x^4).at n=8A090754
• Number of n X n positive definite matrices with 1's on the main diagonal and -1's and 0's elsewhere.at n=5A127502
• Primes p such that lcm(1,2,3,...,p-2,p-1,p) + 1 is prime.at n=18A154525
• Prime numbers with gaps larger than 20 towards both neighboring primes.at n=22A163112
• Number of binary strings of length n with no substrings equal to 0010 0100 or 1001.at n=15A164491
• Primes of the form 4*n^3-5.at n=8A200732
• Primes of the form 6*k^2 - 5.at n=28A201791
• Number of (n+1)X(5+1) 0..1 arrays with nondecreasing x(i,j)-x(i,j-1) in the i direction and nondecreasing min(x(i,j),x(i-1,j)) in the j direction.at n=10A250653
• Least k starting a chain or (2n+1)-tuple of consecutive integers {h(k+i)}, i=0,1,...,2n (excluding the trivial chain when h(k) = h(k+1) = ... = h(k+2n)) with symmetrical gaps about the center, where h(k) is the length of the finite set {k, f(k), f(f(k)),...,1} in the Collatz (or 3x + 1) problem.at n=4A268468
• a(n) = 27*2^n - 5.at n=11A304387
• Primes P where the distance to the nearest prime is greater than 2*log(P).at n=37A330426
• Prime numbersat n=5616