10343761

Properties

Appears in sequences

• First n-digit prime to begin a gap.at n=7A053299
• Smallest prime p such that there is a gap of exactly 2*prime(n) between p and the next prime.at n=19A080082
• 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=19A081413
• Records in A000230.at n=30A133429
• a(n) is the smallest prime q > a(n-1) such that, for the previous prime p and the following prime r, the fraction (q-p)/(r-q) has denominator prime(n) (or 0, if such a prime does not exist).at n=19A179328
• 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=22A217724
• a(n) = smallest prime Q of a consecutive prime triple {P, Q, R} such that floor( (R-Q) * (Q-P) / 8 ) = n.at n=34A375009
• Prime numbersat n=685903