Clarify some comments about Ref 1 in lucas.cal

This commit is contained in:
Landon Curt Noll
2017-05-23 01:47:10 -07:00
parent beb13bf89f
commit 44ffb0eec9

View File

@@ -171,6 +171,11 @@ pprod256 = 0; /* product of "primes up to 256" / "primes up to 46" */
* "Lucasian Criteria for the Primality of N=h*2^n-1", by Hans Riesel,
* Mathematics of Computation, Vol 23 #108, pp. 869-875, Oct 1969
*
* http://www.ams.org/journals/mcom/1969-23-108/
* S0025-5718-1969-0262163-1/S0025-5718-1969-0262163-1.pdf
*
* NOTE: Join the above two lines for the complete URL of the paper.
*
* The following book is also useful:
*
* Ref2:
@@ -836,7 +841,13 @@ next_x = 120;
* u(2) = alpha^h + alpha^(-h) (NOTE: some call this u(2))
* r = abs(2^2 - 1^2*3) = 1
*
* and the bottom of Ref1, page 872 states:
* where these values work for Case 1: (h mod 3 != 0)
*
* a = 1
* b = 2
* D = 1
*
* Now at the bottom of Ref1, page 872 states:
*
* v(x) = alpha^x + alpha^(-x)
*
@@ -1139,7 +1150,13 @@ legacy_d_qval[7] = 19; legacy_v1_qval[7] = 74; /* a=38 b=1 r=2 */
* u(2) = alpha^h + alpha^(-h)
* r = abs(2^2 - 1^2*3) = 1
*
* and the bottom of Ref1, page 872 states:
* where these values work for Case 1: (h mod 3 != 0)
*
* a = 1
* b = 2
* D = 1
*
* Now at the bottom of Ref1, page 872 states:
*
* v(x) = alpha^x + alpha^(-x)
*