Assorted conjectures 1
Conjecture: Factors of N when t is prime and N of the form 1+(-1+2^t)*(2^(t+1)) and 1+2*t is prime must be either 5 or of the form 1+4*k*(1+2*t) where k is a positive integer
Example for t=11 pr=8384513 we have the factors 277 and 30269 where 1+2*t is 23
277=1+4*3 *23
30269=1+4*7*47*23
8384513==277*30269
Conjecture: Order of b mod N when N of the form
is 6×t where b and t are positive integers >=2
Conjecture: Order of b mod N when N of the form
is 3×t where b and t are positive integers >=2
Conjecture: There are an infinite number of cyclic groups having finite order.
Posts on this site provide an abundant source of cyclic groups.
