67108859
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Largest prime <= 2^n.at n=25A014234
- Primes -p+2^n with smallest p prime, arising in A057674.at n=25A057674
- Smallest prime with exactly n consecutive ones in the longest run of ones in its binary expansion.at n=22A090593
- Largest prime <= 4^n.at n=12A104089
- Prime nearest to 2^n. In case of a tie, choose the smaller.at n=26A117387
- Largest prime factor of the odd Catalan number A038003(n).at n=23A120274
- Least prime of the form x^n-x-1.at n=11A126439
- Primes of the form 2^n-5.at n=8A156560
- Numbers n such that n and n+5 are prime powers.at n=14A164573
- a(n) = 2^n - 5.at n=26A168616
- Primes of the form (2^n - 1)*(2^(m+2)) + 3 where n >= 1, m >= 1.at n=36A224383
- Decimal representation of the diagonal from the corner to the origin of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 347", based on the 5-celled von Neumann neighborhood.at n=25A287751
- Least prime containing at least n consecutive 1's in its binary representation.at n=23A307503
- a(n) is the largest prime 2^(n-1) <= p < 2^n maximizing the Hamming weight of all primes in this interval.at n=24A333877
- Prime nearest to 2^n. In case of a tie, choose the larger.at n=26A356434
- Prime numbersat n=3957809