104071

Appears in sequences

• Related to Gilbreath conjecture.at n=39A001549
• Indices of primes where largest gap occurs.at n=19A005669
• Largest k such that round(1/(sqrt(prime(k+1))-sqrt(prime(k)))) = n where prime(n) denotes the n-th prime (conjectured values).at n=17A078693
• Values of k that show the slow decrease in the larger values of the Andrica function Af(k) = sqrt(p(k+1)) - sqrt(p(k)), where p(k) denotes the k-th prime.at n=19A084976
• Indices of primes where nondecreasing gaps occur.at n=35A085500
• Where the records (A098968) occur in A046930 (if initial term is 0 not 1).at n=26A098969
• First occurrence of just n semiprimes occurs between the a(n)-th prime and the next prime.at n=38A103669
• Greatest k for which the Andrica-like conjectural inequalities, prime(k+1)-prime(k)-(1/n)*sqrt(prime(k)) < 0, appear to fail, based on empirical evidence.at n=8A161623
• Index of the primes of A205827, A000720(A205827(n)).at n=12A214935
• Least number k for which primepi(prime(k+1)/2) - primepi(prime(k)/2) = n.at n=9A215237
• Indices (i.e., value of A000720 = primepi) of primes in A111870.at n=11A241542
• Numbers k such that (29*10^k + 91)/3 is prime.at n=39A269797
• a(n) is the index k of prime(k), such that abs(prime(k) - Sum_{j=k-2..k+2} prime(j)/5) sets a new record.at n=23A337438
• a(n) is the index k of prime(k), such that abs(prime(k) - Sum_{j=k-1..k+1} prime(j)/3) sets a new record.at n=17A337488
• a(n) is the least k such that the number of integers between (1/4)*prime(k) and (1/4)*prime(k+1) is n.at n=32A390785
• a(n) is the least k such that the number of integers between (1/5)*prime(k) and (1/5)*prime(k+1) is n.at n=25A390786
• a(n) is the least k such that there are exactly n integers between (1/6)*prime(k) and (1/6)*prime(k+1).at n=21A390787