149689

Properties

Appears in sequences

• Indices of primes where largest gap occurs.at n=20A005669
• Primes with 26 as smallest positive primitive root.at n=11A061731
• 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=18A078693
• 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=21A084976
• Indices of primes where nondecreasing gaps occur.at n=37A085500
• 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=9A161623
• 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=10A161623
• 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=11A161623
• 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=12A161623
• Index of the primes of A205827, A000720(A205827(n)).at n=13A214935
• Indices (i.e., value of A000720 = primepi) of primes in A111870.at n=12A241542
• 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=26A337438
• 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=20A337488
• 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=36A390785
• 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=29A390786
• 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=23A390787
• Prime numbersat n=13821