Riesel conjecture base 1005 algebraic factors

Started: Sept. 10, 2023
Last update: Nov. 15, 2024

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):
k = 17424:
   n = = 0, 2, 4 mod 6:
     let n = 2*q; factors to:
     (132*1005^q - 1) *
     (132*1005^q + 1)
   n = = 1 mod 6:
     factor of 97
   n = = 3 mod 6:
     factor of 7
   n = = 5 mod 6:
     factor of 13

(Condition 2):
k = 85264:
   n = = 0, 2, 4 mod 6:
     let n = 2*q; factors to:
     (292*1005^q - 1) *
     (292*1005^q + 1)
   n = = 1 mod 6:
     factor of 13
   n = = 3 mod 6:
     factor of 97
   n = = 5 mod 6:
     factor of 7

(Condition 3):
k = 179776:
   n = = 0, 2, 4 mod 6:
     let n = 2*q; factors to:
     (424*1005^q - 1) *
     (424*1005^q + 1)
   n = = 1 mod 6:
     factor of 7
   n = = 3 mod 6:
     factor of 13
   n = = 5 mod 6:
     factor of 97

(Condition 4):
k = 202500:
   n = = 0, 2, 4 mod 6:
     let n = 2*q; factors to:
     (450*1005^q - 1) *
     (450*1005^q + 1)
   n = = 1 mod 6:
     factor of 97
   n = = 3 mod 6:
     factor of 13
   n = = 5 mod 6:
     factor of 7