7340033
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Smallest prime of form 2^n*k + 1.at n=20A035089
- Primes of form 7*2^n+1.at n=4A050527
- Minimal 2^n safe-primes: a(n) = 2^n*A051886(n) + 1 (a prime number).at n=20A051900
- a(n) is the least prime p such that p-1 is divisible by 2^n and not by 2^(n+1).at n=20A057775
- Primes p such that cototient(totient(p)) = A070556(p) is a power of 2.at n=19A070806
- 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=21A073919
- Primes of the form 2^r*7^s + 1.at n=19A077498
- a(0) = 8; for n>0, a(n) = 2*a(n-1) - 1.at n=20A083686
- Duplicate of A051900.at n=20A084706
- Smallest prime with exactly n consecutive zeros in the longest run of zeros in its binary expansion.at n=19A090587
- a(n) = 1 + (n-6)*2^(n-1).at n=14A115342
- Least prime of the form 1 + p*2^n, where p is an odd prime.at n=19A134854
- a(n) = 7*4^n+1.at n=10A199207
- Primes p that give record exponents of 2 in p^2 - 1 (A091282).at n=13A233930
- Odd prime factors of generalized Fermat numbers of the form 5^(2^m) + 1 with m >= 0.at n=15A273946
- Sorted list of prime factors of numbers of the form 3^(2^m) + 2^(2^m) with m >= 0.at n=15A294132
- Sorted list of prime factors of numbers of the form 7^(2^m) + 2^(2^m) with m >= 0.at n=19A294134
- a(n) = 7*2^n + (-1)^n.at n=20A321483
- Primes of the form q*2^h + 1, where q is a Mersenne prime.at n=14A336117
- Primes p such that the odd part of p - 1 is upper-bounded by the dyadic valuation of p - 1.at n=18A361180