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Old 2020-10-03, 23:11   #1
jshort
 
"James Short"
Mar 2019
Canada

17 Posts
Default Question about number of the form 2^n + 1

Let a_{n} be the nth Highly Composite Integer* and b_{n} = lcm(2^{a_{1}} + 1, 2^{a_{2}} + 1, ...,2^{a_{n}} + 1). If c_{n} = \frac{2^{a_{n}} + 1}{gcd(2^{a_{n}} + 1,b_{n-1})}, will c_{n} always be equal to either 1 or a prime number?

*https://en.wikipedia.org/wiki/Highly...n%20the%20OEIS).
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