917503
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Primes of the form 7*2^k - 1.at n=3A050523
- Least k such that n! divides C(2k,k).at n=21A072120
- Primes of the form 2^r*7^s - 1.at n=19A077314
- a(n) = 7*2^n - 1.at n=17A086224
- 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=17A118883
- a(n) = 14 * 4^n - 1.at n=8A206372
- Positions of records in A249695.at n=21A249715
- If n is the i-th positive integer with binary weight j, then a(n) is the j-th positive integer with binary weight i.at n=51A263018
- Decimal representation of the middle column of the "Rule 175" elementary cellular automaton starting with a single ON (black) cell.at n=19A267604
- Decimal representation of the diagonal from the origin to the corner of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 565", based on the 5-celled von Neumann neighborhood.at n=19A289403
- Decimal representation of the diagonal from the origin to the corner of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 613", based on the 5-celled von Neumann neighborhood.at n=19A289936
- Decimal representation of the diagonal from the origin to the corner of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 825", based on the 5-celled von Neumann neighborhood.at n=19A290520
- a(n) = 7*2^n + (-1)^n.at n=17A321483
- a(n) - 2*a(n-1) = period 2: repeat [3, 0] for n > 0, a(0)=5, a(1)=13.at n=17A322417
- Primes of the form q*2^h - 1, where q is a Mersenne prime (A000668).at n=19A335874
- a(n) is the least prime p such that the binary expansions of p and of the next prime q > p differ at exactly n positions, and p and q have the same binary length.at n=15A374179
- Prime numbersat n=72547