27673

Properties

Appears in sequences

• Numbers k such that the continued fraction for sqrt(k) has period 69.at n=29A020408
• Primes of the form 2x^3 + x + 1.at n=8A114350
• Primes of the form 8k+1 generated recursively. Initial prime is 17. General term is a(n)=Min {p is prime; p divides (2Q)^4 + 1}, where Q is the product of previous terms in the sequence.at n=9A125039
• a(1) = 2, a(2) = 3; for n>2, a(n) = least prime such that a(n-2) is the largest prime factor of a(n)+a(n-1).at n=13A126607
• There appear to be at least n primes in the range (x-2*sqrt(x), x] for all x >= a(n).at n=26A189027
• Least prime p such that p*6^n +/- 1 are primes.at n=45A225057
• Primes p of the form penta(n)-3, where penta(n) is the n-th pentagonal number.at n=32A232537
• Denominators of lower primes-only best approximates (POBAs) to e; see Comments.at n=16A265815
• Longest word T from a string S using no breakpoint-reuse.at n=31A280429
• Number of compositions of 2n into n Fibonacci parts.at n=10A341072
• Primes of the form (p^2 - p*q + q^2)/3, where p and q are consecutive primes.at n=14A342706
• Number of ways to write n as an ordered sum of ten positive Fibonacci numbers (with a single type of 1).at n=10A357730
• Prime numbersat n=3018