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European Community number

Identifier for substance regulated within EU

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Through Regulation, European Union and Modular arithmetic

Structure

The EC number may be written in a general form as: NNN-NNN-R, where the N represents digits and R is a check digit. The check digit is calculated using the ISBN method. According to this method, the check digit R is the following sum modulo 11:

R=(N1+2N2+3N3+4N4+5N5+6N6)mod11

If the remainder R is equal to 10, that combination of digits is not used for an EC number. To illustrate, the EC number of dexamethasone is 200-003-9. N1 is 2, N2 through N5 are 0, and N6 is 3.

2+2×0+3×0+4×0+5×0+6×311=2011=1+911

The remainder is 9, which is the check digit.

There is a set of 181 ELINCS numbers (EC numbers starting with 4) for which the checksum by the above algorithm is 10 and the number has not been skipped but issued with a checksum of 1.

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