Prime Representation
Let 
, 
, and 
denote Positive Integers satisfying
(i.e., both pairs are Relatively Prime), and suppose every Prime
with 
is expressible ifthe form 
for some Integers 
and 
. Then every Prime 
such that 
and
is expressible in the form 
for some Integers 
and 
(Halter-Koch 1993, Williams1991).| Prime Form | Representation |
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References
Berndt, B. C. Ramanujan's Notebooks, Part IV. New York: Springer-Verlag, pp. 70-73, 1994. Halter-Koch, F. ``A Theorem of Ramanujan Concerning Binary Quadratic Forms.'' J. Number. Theory 44, 209-213, 1993. Williams, K. S. ``On an Assertion of Ramanujan Concerning Binary Quadratic Forms.'' J. Number Th. 38, 118-133, 1991.