786433

Properties

Appears in sequences

• Numbers that are the sum of 4 positive 9th powers.at n=31A003393
• a(0) = 1; thereafter a(n) = 3*2^(n-1) + 1.at n=19A004119
• Class 1- (or Pierpont) primes: primes of the form 2^t*3^u + 1.at n=39A005109
• Smallest prime of form 2^n*k + 1.at n=17A035089
• Smallest prime of form 2^n*k + 1.at n=18A035089
• Primes of the form 3*2^k + 1.at n=6A039687
• Minimal 2^n safe-primes: a(n) = 2^n*A051886(n) + 1 (a prime number).at n=18A051900
• a(n) is the least prime p such that p-1 is divisible by 2^n and not by 2^(n+1).at n=18A057775
• Primes of form 1+(2^a)*(3^b), a>0, b>0.at n=33A058383
• Larger term of a pair of twin primes such that the prime factors of their average are only 2 and 3. Proper subset of A058383.at n=11A060211
• Smallest term x from A066669 such that phi(x) = 2^n times some prime.at n=17A066673
• Smallest prime p such that (p-1) has n divisors, or 0 if no such prime exists.at n=37A066814
• Primes p such that cototient(totient(p)) = A070556(p) is a power of 2.at n=18A070806
• 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=19A073919
• Values of n such that Sum[ -(-1)^(k) n/k (n-1)/(k+1),{k,1,n}] (n!!) is an integer.at n=36A078621
• Greater member p of a twin prime pair such that p-1 is 3-smooth.at n=12A078884
• Smallest prime which is 1 more than the product of n (not necessarily distinct) composite numbers.at n=9A081546
• Duplicate of A051900.at n=18A084706
• Smallest prime with exactly n consecutive zeros in the longest run of zeros in its binary expansion.at n=17A090587
• a(n) = 3*2^floor((n-1)/2) + (-1)^n.at n=37A097581