FYI: If you extend the sequence from 2 remainder 1 .... to bigger numbers

possible solutions are (I am not absoutely sure they are the smallest number that works for each but these work!)

20 remainder 19 ......................232,792,559

22 remainder 21.......................232,792,559

23 remainder 22....................5,354,228,879

24 remainder 23....................5,354,228,879

30 remainder 29.............2,329,089,562,799

31 remainder 30...........72,201,776,446,799

36 remainder 35.........144,403,552,893,599

40 remainder 39......5,342,931,457,063,199

**Edited by brifri238, 06 November 2012 - 05:35 PM.**