570569
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Smallest prime p such that p+1 is the product of exactly n distinct prime numbers.at n=6A098026
- Prime numbers appearing in A139033.at n=17A139034
- Sophie Germain primes that are also highly cototient numbers.at n=30A209194
- a(n) is the smallest number k such that psi(k) = A001615(k) is the product of n distinct primes.at n=6A291144
- Numbers k such that phi(sigma(k))/k < phi(sigma(m))/m for all m < k, where sigma is the sum of divisors function (A000203) and phi is Euler's totient function (A000010).at n=39A293711
- Numbers k such that phi(psi(k))/k < phi(psi(m))/m for all m < k, where phi is Euler's totient function (A000010) and psi is the Dedekind psi function (A001615).at n=41A293713
- Numbers k where records occur for phi(k)/phi(k+1), where phi is the Euler totient function (A000010).at n=35A335070
- a(n) is the least k for which omega(k)*omega(k + 1) = n where omega = A001221.at n=7A391216
- a(n) is the least k for which omega(k)*omega(k + 1)*omega(k + 2) = n where omega = A001221, or -1 if no such k exists.at n=14A392184
- Prime numbersat n=46870