perplexus.info :: Numbers : Number Division and Remainder Nuance

Number Division and Remainder Nuance (Posted on 2023-01-07)

A 37-digit (base ten) positive integer is constituted by writing the first 23 positive integers side by side, as follows:

1234567891011121314151617181920212223

Determine the respective remainders when this number is divided in turn by each of the base ten integers from 2 to 23 inclusively.

Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Solution: (Hide)

N Remainder 2 1 3 0 4 3 5 3 6 3 7 2 8 7 9 6 10 3 11 5 12 3 13 5 14 9 15 3 16 15 17 13 18 15 19 10 20 3 21 9 22 5 23 6
For an explanation, refer to the computer program assisted solution submitted by Larry in this location.

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
re: Solution	K Sengupta	2023-01-08 23:00:02
Solution	Larry	2023-01-07 08:34:12

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