1098847

Properties

Appears in sequences

• Smallest prime p such that there is a gap of exactly 2*prime(n) between p and the next prime.at n=15A080082
• a(n) is the smallest prime p such that the largest prime divisor of the difference nextprime(p) - p equals the n-th prime, prime(n).at n=15A081413
• Primes p followed by a gap of at least 1/2 * log(p)^2.at n=30A211073
• Smallest prime producing a gap with the next prime, the size of the gap being a composite number with 2n+1 as a factor.at n=16A217724
• Primes p such that the next prime appears after a gap greater than 100.at n=2A252800
• a(n) is the least prime p=prime(m) such that gcd (prime(m) + 2, prime(m + 1) + 2) = 2*n - 1.at n=26A268879
• Primes p such that the squarefree kernel of the product of the composite numbers between p and the next prime after p (A076978) sets a new record.at n=43A354217
• Prime numbersat n=85633