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MLPutInteger()
int MLPutInteger(MLINK link, int i) puts the integer i to the MathLink connection specified by link.
You can send arbitrary-precision integers to Mathematica by giving lists of digits, then converting them to numbers using FromDigits.
See The Mathematica Book: Section 2.12.4 and Section 2.12.12.
See also: MLGetInteger, MLPutShortInteger, MLPutLongInteger, MLPutIntegerList.
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