4194301
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Largest prime <= 2^n.at n=21A014234
- a(n) = 2^n - 3.at n=22A036563
- Primes of the form 2^k - 3.at n=9A050415
- Primes -p+2^n with smallest p prime, arising in A057674.at n=21A057674
- New record highs reached in A060030.at n=41A060482
- Primes p such that p+3 == 0 (mod phi(p+3)).at n=10A067932
- Smallest prime with exactly n consecutive ones in the longest run of ones in its binary expansion.at n=19A090593
- Smallest number having in binary representation a prefix of length n that is also a suffix of its successor.at n=21A091270
- Smallest prime factor of 2^n-3.at n=20A093810
- Largest prime factor of 2^n-3.at n=20A093817
- A Horadam-Jacobsthal sequence.at n=21A101622
- Largest prime <= 4^n.at n=10A104089
- Prime nearest to 2^n. In case of a tie, choose the smaller.at n=22A117387
- Largest prime factor of the odd Catalan number A038003(n).at n=19A120274
- Primes in the new Mersenne conjecture; odd primes of the form 2^k+-1 or 4^k+-3.at n=22A122834
- Least prime of the form x^n-x-1.at n=20A126439
- Primes of the form 4^k - 3.at n=6A135535
- a(n) = a(n-1) + 2*a(n-2) - 2*a(n-3).at n=40A136252
- a(n) = 4^(n+1) - 3.at n=10A141725
- A007318 * A143098.at n=22A143100