53173

Properties

Appears in sequences

• -1 + number of partitions of n.at n=42A000065
• Smallest prime having least positive primitive root n, or 0 if no such prime exists.at n=17A023048
• Primes with 18 as smallest positive primitive root.at n=0A061330
• Hierarchies of hierarchies.at n=6A075744
• Smallest prime of the form prime(k) concatenated with prime(k+n).at n=23A089782
• Let m = n-th number that is not a perfect power, A007916(n). Then a(n) = smallest prime having least positive primitive root m.at n=12A133432
• Records in A133432.at n=8A133433
• A054525 * A000041.at n=42A133732
• A proximate-prime polynomial sequence generated by 2*n^2 - 2*n + 53089.at n=6A155557
• Logarithm derivative of the g.f. of A159311 such that a(n) = (n-1)*A159311(n) + 1.at n=6A159312
• Primes with nine embedded primes.at n=24A179917
• Primes p whose smallest positive primitive root (mod p) is not squarefree.at n=18A205581
• Smallest number with n as least nonnegative primitive root, or 0 if no such number exists.at n=18A214158
• Numbers m such that sigma(m) is a partition number.at n=26A252891
• Primes p such that sigma(p) = 1 + p is a partition number (sorted increasingly).at n=5A252892
• Smallest initial prime p for at least n primes in increasing arithmetic progression with a common difference less than p.at n=10A284708
• Number of nX5 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 2 or 4 neighboring 1s.at n=6A297730
• T(n,k)=Number of nXk 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 2 or 4 neighboring 1s.at n=61A297733
• Number of 7 X n 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 2 or 4 neighboring 1's.at n=4A297739
• Number of partitions lambda of n that satisfy gcd(lambda_i, n-1) = 1 for all i and for which the lattice simplex delta(lambda) is an antichain simplex.at n=41A323257