Riesel conjecture base 504 algebraic factors

Started: Sept. 10, 2023
Last update: Sept. 10, 2023

Compiled by Gary Barnes
Riesel conjectures
Riesel conjectures powers of 2
Riesel conjecture reservations
Sierpinski conjectures
Sierpinski conjectures powers of 2
Sierpinski conjecture reservations

(Condition 1):
All k where k = m^2
and m = = 2 or 3 mod 5:
   for even n let k = m^2
   and let n = 2*q; factors to:
     (m*504^q - 1) *
     (m*504^q + 1)
   odd n:
     factor of 5

(Condition 2):
All k where k = m^2
and m = = 10 or 91 mod 101:
   for even n let k = m^2
   and let n = 2*q; factors to:
     (m*504^q - 1) *
     (m*504^q + 1)
   odd n:
     factor of 101

(Condition 3):
All k where k = 14*m^2
and m = = 2 or 3 mod 5:
   even n:
     factor of 5
   for odd n let k = 14*m^2
   and let n=2*q-1; factors to:
     [m*6^n*14^q - 1] *
     [m*6^n*14^q + 1]