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MLPutInteger()
intMLPutInteger(MLINKlink,inti) 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, Section 2.12.12.
See also: MLGetIntegerMLGetIntegerMainBookLinkOldButtonDataMLGetInteger, MLPutShortIntegerMLPutShortIntegerMainBookLinkOldButtonDataMLPutShortInteger, MLPutLongIntegerMLPutLongIntegerMainBookLinkOldButtonDataMLPutLongInteger, MLPutIntegerListMLPutIntegerListMainBookLinkOldButtonDataMLPutIntegerList.
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