76943
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Let H(n) be the reduced fraction Sum_{i=1..n} 1/i. a(n) is the least factor of H(n)'s numerator or denominator that doesn't divide either part of any earlier H(m).at n=50A113571
- Where records occur in A124522.at n=18A124743
- Primes of the form 34k+1 generated recursively. Initial prime is 103. General term is a(n) = Min {p is prime; p divides (R^17 - 1)/(R - 1); p == 1 (mod 17)}, where Q is the product of previous terms in the sequence and R = 17*Q.at n=4A125038
- Prime numbers p that yield a new record for the least number k such that p*k + 1 and p*k - 1 are twin primes.at n=14A220141
- Numbers n that yield a new record for k such that n*k+1 and n*k-1 are twin primes.at n=16A220143
- P(n,k) is an array read by rows, with n > 0 and k=1..5, where row n gives the chain of 5 consecutive primes {p(i), p(i+1), p(i+2), p(i+3), p(i+4)} having the symmetrical property p(i) + p(i+4) = p(i+1) + p(i+3) = 2*p(i+2) for some index i.at n=34A267028
- Prime numbersat n=7563