49711

Properties

Appears in sequences

• Numbers n such that Catalan(n)-1 is prime.at n=43A053427
• Primes q such that p = (r+q+s-1)/2 is a balanced prime, where r, q, s are consecutive primes.at n=17A129190
• An alternating 2-based sum from prime(n) up to the base of the n-th Mersenne prime.at n=23A162848
• Record-breaking values, for increasing positive integers k == 1 or 5 mod 6, of the conjectured length of the longest primitive cycle(s) of positive integers under iteration by the Collatz-like 3x+k function.at n=34A226670
• Primes p such that p^4 - p +/- 1 are twin primes.at n=23A236952
• Second prime p such that (p+n)^2+n is prime but (p+j)^2+j is not prime for all 0<j<n.at n=37A238674
• Numbers k such that 10^k - 701 is prime.at n=21A288655
• Numerators of the partial sums of the reciprocals of the alternating sum of divisors function (A206369).at n=32A379619
• Numbers k such that (47^k - 4^k)/43 is prime.at n=3A392056
• Prime numbersat n=5105