Recently
Benjamin Vitale posted interesting relationship between numbers 7928 and 7928 on his blog in his article article here
The two consecutive numbers can be expressed as follows
7928 = 8 * 991
7929 = 9 * 881
So, I wrote little python script to find more pairs like this and posting it as below.
And It is interesting to find that all 3-digit multipliers are ending with 1.201 * 3 = 603 and 301 * 2 = 602
221 * 1 = 221 and 111 * 2 = 222
221 * 3 = 663 and 331 * 2 = 662
301 * 2 = 602 and 201 * 3 = 603
301 * 4 = 1204 and 401 * 3 = 1203
331 * 2 = 662 and 221 * 3 = 663
331 * 4 = 1324 and 441 * 3 = 1323
401 * 3 = 1203 and 301 * 4 = 1204
401 * 5 = 2005 and 501 * 4 = 2004
441 * 3 = 1323 and 331 * 4 = 1324
441 * 5 = 2205 and 551 * 4 = 2204
501 * 4 = 2004 and 401 * 5 = 2005
501 * 6 = 3006 and 601 * 5 = 3005
551 * 4 = 2204 and 441 * 5 = 2205
551 * 6 = 3306 and 661 * 5 = 3305
601 * 5 = 3005 and 501 * 6 = 3006
601 * 7 = 4207 and 701 * 6 = 4206
661 * 5 = 3305 and 551 * 6 = 3306
661 * 7 = 4627 and 771 * 6 = 4626
701 * 6 = 4206 and 601 * 7 = 4207
701 * 8 = 5608 and 801 * 7 = 5607
771 * 6 = 4626 and 661 * 7 = 4627
771 * 8 = 6168 and 881 * 7 = 6167
801 * 7 = 5607 and 701 * 8 = 5608
801 * 9 = 7209 and 901 * 8 = 7208
881 * 7 = 6167 and 771 * 8 = 6168
881 * 9 = 7929 and 991 * 8 = 7928
901 * 8 = 7208 and 801 * 9 = 7209
991 * 8 = 7928 and 881 * 9 = 7929
UPDATE
all 4-digits numbers (Those too ending with 1)
2001 * 1 = 2001 and 1001 * 2 = 2002
2001 * 3 = 6003 and 3001 * 2 = 6002
2021 * 1 = 2021 and 1011 * 2 = 2022
2021 * 3 = 6063 and 3031 * 2 = 6062
2201 * 1 = 2201 and 1101 * 2 = 2202
2201 * 3 = 6603 and 3301 * 2 = 6602
2221 * 1 = 2221 and 1111 * 2 = 2222
2221 * 3 = 6663 and 3331 * 2 = 6662
3001 * 2 = 6002 and 2001 * 3 = 6003
3001 * 4 = 12004 and 4001 * 3 = 12003
3031 * 2 = 6062 and 2021 * 3 = 6063
3031 * 4 = 12124 and 4041 * 3 = 12123
3301 * 2 = 6602 and 2201 * 3 = 6603
3301 * 4 = 13204 and 4401 * 3 = 13203
3331 * 2 = 6662 and 2221 * 3 = 6663
3331 * 4 = 13324 and 4441 * 3 = 13323
4001 * 3 = 12003 and 3001 * 4 = 12004
4001 * 5 = 20005 and 5001 * 4 = 20004
4041 * 3 = 12123 and 3031 * 4 = 12124
4041 * 5 = 20205 and 5051 * 4 = 20204
4401 * 3 = 13203 and 3301 * 4 = 13204
4401 * 5 = 22005 and 5501 * 4 = 22004
4441 * 3 = 13323 and 3331 * 4 = 13324
4441 * 5 = 22205 and 5551 * 4 = 22204
5001 * 4 = 20004 and 4001 * 5 = 20005
5001 * 6 = 30006 and 6001 * 5 = 30005
5051 * 4 = 20204 and 4041 * 5 = 20205
5051 * 6 = 30306 and 6061 * 5 = 30305
5501 * 4 = 22004 and 4401 * 5 = 22005
5501 * 6 = 33006 and 6601 * 5 = 33005
5551 * 4 = 22204 and 4441 * 5 = 22205
5551 * 6 = 33306 and 6661 * 5 = 33305
6001 * 5 = 30005 and 5001 * 6 = 30006
6001 * 7 = 42007 and 7001 * 6 = 42006
6061 * 5 = 30305 and 5051 * 6 = 30306
6061 * 7 = 42427 and 7071 * 6 = 42426
6601 * 5 = 33005 and 5501 * 6 = 33006
6601 * 7 = 46207 and 7701 * 6 = 46206
6661 * 5 = 33305 and 5551 * 6 = 33306
6661 * 7 = 46627 and 7771 * 6 = 46626
7001 * 6 = 42006 and 6001 * 7 = 42007
7001 * 8 = 56008 and 8001 * 7 = 56007
7071 * 6 = 42426 and 6061 * 7 = 42427
7071 * 8 = 56568 and 8081 * 7 = 56567
7701 * 6 = 46206 and 6601 * 7 = 46207
7701 * 8 = 61608 and 8801 * 7 = 61607
7771 * 6 = 46626 and 6661 * 7 = 46627
7771 * 8 = 62168 and 8881 * 7 = 62167
8001 * 7 = 56007 and 7001 * 8 = 56008
8001 * 9 = 72009 and 9001 * 8 = 72008
8081 * 7 = 56567 and 7071 * 8 = 56568
8081 * 9 = 72729 and 9091 * 8 = 72728
8801 * 7 = 61607 and 7701 * 8 = 61608
8801 * 9 = 79209 and 9901 * 8 = 79208
8881 * 7 = 62167 and 7771 * 8 = 62168
8881 * 9 = 79929 and 9991 * 8 = 79928
9001 * 8 = 72008 and 8001 * 9 = 72009
9091 * 8 = 72728 and 8081 * 9 = 72729
9901 * 8 = 79208 and 8801 * 9 = 79209
9991 * 8 = 79928 and 8881 * 9 = 79929
5 digits numbers (and again ending with 1)
20001 * 1 = 20001 and 10001 * 2 = 20002
20001 * 3 = 60003 and 30001 * 2 = 60002
20021 * 1 = 20021 and 10011 * 2 = 20022
20021 * 3 = 60063 and 30031 * 2 = 60062
20201 * 1 = 20201 and 10101 * 2 = 20202
20201 * 3 = 60603 and 30301 * 2 = 60602
20221 * 1 = 20221 and 10111 * 2 = 20222
20221 * 3 = 60663 and 30331 * 2 = 60662
22001 * 1 = 22001 and 11001 * 2 = 22002
22001 * 3 = 66003 and 33001 * 2 = 66002
22021 * 1 = 22021 and 11011 * 2 = 22022
22021 * 3 = 66063 and 33031 * 2 = 66062
22201 * 1 = 22201 and 11101 * 2 = 22202
22201 * 3 = 66603 and 33301 * 2 = 66602
22221 * 1 = 22221 and 11111 * 2 = 22222
22221 * 3 = 66663 and 33331 * 2 = 66662
30001 * 2 = 60002 and 20001 * 3 = 60003
30001 * 4 = 120004 and 40001 * 3 = 120003
30031 * 2 = 60062 and 20021 * 3 = 60063
30031 * 4 = 120124 and 40041 * 3 = 120123
30301 * 2 = 60602 and 20201 * 3 = 60603
30301 * 4 = 121204 and 40401 * 3 = 121203
30331 * 2 = 60662 and 20221 * 3 = 60663
30331 * 4 = 121324 and 40441 * 3 = 121323
33001 * 2 = 66002 and 22001 * 3 = 66003
33001 * 4 = 132004 and 44001 * 3 = 132003
33031 * 2 = 66062 and 22021 * 3 = 66063
33031 * 4 = 132124 and 44041 * 3 = 132123
33301 * 2 = 66602 and 22201 * 3 = 66603
33301 * 4 = 133204 and 44401 * 3 = 133203
33331 * 2 = 66662 and 22221 * 3 = 66663
33331 * 4 = 133324 and 44441 * 3 = 133323
40001 * 3 = 120003 and 30001 * 4 = 120004
40001 * 5 = 200005 and 50001 * 4 = 200004
40041 * 3 = 120123 and 30031 * 4 = 120124
40041 * 5 = 200205 and 50051 * 4 = 200204
40401 * 3 = 121203 and 30301 * 4 = 121204
40401 * 5 = 202005 and 50501 * 4 = 202004
40441 * 3 = 121323 and 30331 * 4 = 121324
40441 * 5 = 202205 and 50551 * 4 = 202204
44001 * 3 = 132003 and 33001 * 4 = 132004
44001 * 5 = 220005 and 55001 * 4 = 220004
44041 * 3 = 132123 and 33031 * 4 = 132124
44041 * 5 = 220205 and 55051 * 4 = 220204
44401 * 3 = 133203 and 33301 * 4 = 133204
44401 * 5 = 222005 and 55501 * 4 = 222004
44441 * 3 = 133323 and 33331 * 4 = 133324
44441 * 5 = 222205 and 55551 * 4 = 222204
50001 * 4 = 200004 and 40001 * 5 = 200005
50001 * 6 = 300006 and 60001 * 5 = 300005
50051 * 4 = 200204 and 40041 * 5 = 200205
50051 * 6 = 300306 and 60061 * 5 = 300305
50501 * 4 = 202004 and 40401 * 5 = 202005
50501 * 6 = 303006 and 60601 * 5 = 303005
50551 * 4 = 202204 and 40441 * 5 = 202205
50551 * 6 = 303306 and 60661 * 5 = 303305
55001 * 4 = 220004 and 44001 * 5 = 220005
55001 * 6 = 330006 and 66001 * 5 = 330005
55051 * 4 = 220204 and 44041 * 5 = 220205
55051 * 6 = 330306 and 66061 * 5 = 330305
55501 * 4 = 222004 and 44401 * 5 = 222005
55501 * 6 = 333006 and 66601 * 5 = 333005
55551 * 4 = 222204 and 44441 * 5 = 222205
55551 * 6 = 333306 and 66661 * 5 = 333305
60001 * 5 = 300005 and 50001 * 6 = 300006
60001 * 7 = 420007 and 70001 * 6 = 420006
60061 * 5 = 300305 and 50051 * 6 = 300306
60061 * 7 = 420427 and 70071 * 6 = 420426
60601 * 5 = 303005 and 50501 * 6 = 303006
60601 * 7 = 424207 and 70701 * 6 = 424206
60661 * 5 = 303305 and 50551 * 6 = 303306
60661 * 7 = 424627 and 70771 * 6 = 424626
66001 * 5 = 330005 and 55001 * 6 = 330006
66001 * 7 = 462007 and 77001 * 6 = 462006
66061 * 5 = 330305 and 55051 * 6 = 330306
66061 * 7 = 462427 and 77071 * 6 = 462426
66601 * 5 = 333005 and 55501 * 6 = 333006
66601 * 7 = 466207 and 77701 * 6 = 466206
66661 * 5 = 333305 and 55551 * 6 = 333306
66661 * 7 = 466627 and 77771 * 6 = 466626
70001 * 6 = 420006 and 60001 * 7 = 420007
70001 * 8 = 560008 and 80001 * 7 = 560007
70071 * 6 = 420426 and 60061 * 7 = 420427
70071 * 8 = 560568 and 80081 * 7 = 560567
70701 * 6 = 424206 and 60601 * 7 = 424207
70701 * 8 = 565608 and 80801 * 7 = 565607
70771 * 6 = 424626 and 60661 * 7 = 424627
70771 * 8 = 566168 and 80881 * 7 = 566167
77001 * 6 = 462006 and 66001 * 7 = 462007
77001 * 8 = 616008 and 88001 * 7 = 616007
77071 * 6 = 462426 and 66061 * 7 = 462427
77071 * 8 = 616568 and 88081 * 7 = 616567
77701 * 6 = 466206 and 66601 * 7 = 466207
77701 * 8 = 621608 and 88801 * 7 = 621607
77771 * 6 = 466626 and 66661 * 7 = 466627
77771 * 8 = 622168 and 88881 * 7 = 622167
80001 * 7 = 560007 and 70001 * 8 = 560008
80001 * 9 = 720009 and 90001 * 8 = 720008
80081 * 7 = 560567 and 70071 * 8 = 560568
80081 * 9 = 720729 and 90091 * 8 = 720728
80801 * 7 = 565607 and 70701 * 8 = 565608
80801 * 9 = 727209 and 90901 * 8 = 727208
80881 * 7 = 566167 and 70771 * 8 = 566168
80881 * 9 = 727929 and 90991 * 8 = 727928
88001 * 7 = 616007 and 77001 * 8 = 616008
88001 * 9 = 792009 and 99001 * 8 = 792008
88081 * 7 = 616567 and 77071 * 8 = 616568
88081 * 9 = 792729 and 99091 * 8 = 792728
88801 * 7 = 621607 and 77701 * 8 = 621608
88801 * 9 = 799209 and 99901 * 8 = 799208
88881 * 7 = 622167 and 77771 * 8 = 622168
88881 * 9 = 799929 and 99991 * 8 = 799928
90001 * 8 = 720008 and 80001 * 9 = 720009
90091 * 8 = 720728 and 80081 * 9 = 720729
90901 * 8 = 727208 and 80801 * 9 = 727209
90991 * 8 = 727928 and 80881 * 9 = 727929
99001 * 8 = 792008 and 88001 * 9 = 792009
99091 * 8 = 792728 and 88081 * 9 = 792729
99901 * 8 = 799208 and 88801 * 9 = 799209
99991 * 8 = 799928 and 88881 * 9 = 799929
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