14680063
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Primes of the form 7*2^k - 1.at n=4A050523
- Smallest prime with Hamming weight n (i.e., with exactly n 1's when written in binary).at n=22A061712
- a(n) = n*8^n - 1.at n=6A064754
- Permutation of N induced by rotating the node 1 (the top node) right in the infinite planar binary tree shown at A065658.at n=43A065660
- Permutation of N induced by rotating the node 6 left in the infinite planar binary tree shown at A065658.at n=56A065671
- Least k such that A072084(k) = n.at n=22A072087
- Primes of the form 2^r*7^s - 1.at n=24A077314
- a(n) is the smallest prime such that the number of 1's in its binary expansion is equal to the n-th prime.at n=8A081093
- Let t(x) be the highest power of 2 which divides x+1. Then a(1)=3; a(n) is the least prime p for which t(p) > t(a(n-1)).at n=12A084924
- a(n) = 7*2^n - 1.at n=21A086224
- a(0) = 2; for n>=1, a(n) = smallest prime p such that p+1 is divisible by an n-th power > 1.at n=20A087522
- a(0) = 2; for n>=1, a(n) = smallest prime p such that p+1 is divisible by an n-th power > 1.at n=21A087522
- Smallest prime with exactly n consecutive ones in the longest run of ones in its binary expansion.at n=20A090593
- Smallest prime between 2^n and 2^(n+1), having a maximal number of 1's in binary representation.at n=22A091938
- Duplicate of A081093.at n=8A093535
- Smallest prime p with bigomega(p+1)=n, where bigomega(m)=A001222(m) is the number of prime divisors of m (counted with multiplicity).at n=21A118883
- Smallest prime of the form k*2^n - 1, for k >= 2.at n=19A127581
- Smallest prime of the form k*2^n - 1, for k >= 2.at n=20A127581
- Smallest prime of the form k*2^n - 1, for k >= 2.at n=21A127581
- a(n) = the smallest prime number of the form k*2^n - 1, for k >= 1.at n=20A127582