Let us use the first 3 digits of PI, i.e.
3,1,4 to create numbers from 1 to 50, using only basic math. operators.
Not all the digits must be used, but none can be repeated.
Examples (out of this range):
52= 13*4; 65=4^3+1; 84=14*3!
Only few numbers cannot be achieved.
Please show your list.
(In reply to
re(5): hint- a DejMar I'll chip in 59 by Dej Mar)
Very interesting!Using your table, in which there is no gap over 10 (80 - 90) one can fill in by adding or subtracting numbers 1, 3-1, 3, 3+1, 3!-1.
Facing larger gaps we have 3!, 3!+1, 13, 31 and more, like (3!)!!=48 (3!)!!!=18 !(3+1)=9 etc
Edited on December 30, 2015, 6:32 am