4194319

Properties

Appears in sequences

• Next prime after 2^n.at n=22A014210
• Smallest prime with exactly n consecutive zeros in the longest run of zeros in its binary expansion.at n=18A090587
• Smallest prime >= 2^n.at n=22A104080
• Smallest prime >= 4^n.at n=11A104082
• Consider primes p and q such that p = 2^k + 15 and q = 2^(k+1) + 15 for some k; sequence gives values of p.at n=8A108266
• First occurrence of primes that are 2^k greater than the product of lesser twin primes.at n=21A128841
• a(1)=1. a(n) = the smallest integer > a(n-1) such that |d(a(n)) - d(a(n-1))| = n-1, where d(m) = the number of positive divisors of m.at n=21A139695
• Primes of the form 2^k + 15.at n=12A144487
• a(n) = smallest prime >= the smallest positive integer with exactly n divisors.at n=22A145344
• a(n) = smallest number that leads to a new cycle under the base-4 Kaprekar map of A165012.at n=27A165029
• a(0)=1; for n > 0, a(n) = next prime after 2^(n-1).at n=23A203074
• Primes of the form 4^k + 4^m - 1, where k and m are positive integers.at n=30A234310
• Primes of the form 4^k + 15.at n=7A237418
• Primes of the form m = 4^i + 4^j - 1, where i > j >= 0.at n=24A239714
• Numbers n > 1 such that 2^(n-1) and (2*n-m)*2^(((n-1)/2) - floor(log_2(n))) are congruent to 1 (mod n) for at least one of m = 3, m = 7 and m = 15.at n=17A295196
• Least prime power > 2^n.at n=22A378252
• Prime numbersat n=295948