BIGMODINV$ Function

BIGMODINV$(string-expression, string-expression)

Computes the modular multiplicative inverse of an arbitrary precision integer. Returns a value (X) such that:

(A * X) MOD M = 1

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Examples

PRINT BIGMODINV$("3", "11")

Produces "4".

PRINT BIGMODINV$("10", "17")

Produces "12".

(10 * 12) MOD 17 = 1

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Notes

• Inputs must be valid base-10 integer strings.
• The inverse exists only if A and M are coprime.
• If no inverse exists, an error is produced.
• Modulus must be non-zero.
• Result is returned as a decimal string.

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See also: BIGMODPOW$ · BIGMOD$ · BIGGCD$ · BIGMUL$