A Friedman number is a positive integer which can be written with the help of symbols like - + , - , x, / , (), ^ etc. and using the digits of the numbers.
Example:-
25, 121, 125, 126, 127, 128, 153, 216, 289, 343, 347, 625, 688, 736, 1022, 1024,
1206, 1255, 1260, 1285, 1296, 1395, 1435, 1503, 1530, 1792, 1827, 2048, 2187, 2349,
2500, 2501, 2502, 2503, 2504, 2505, 2506, 2507, 2508, 2509, 2592 ,2737, 2916, 3125,
3159, 3281, 3375, 3378, 3685, 3784, 3864, 3972, 4088, 4096, 4106, 4167, 4536, 4624,
4628, 5120, 5776, 5832, 6144, 6145, 6455, 6880, 7928, 8092, 8192, 9025, 9216, 9261.
Explanation:-
25 = 5^2
121 = 11^2
125 = (5)^1 + 2 = 5 ^3
126 = 21 x 6
127 = -1 + 2^7
289 = (8 + 9)^2
343 = (3 + 4 ) ^3
Friedman numbers are named after Erich Friedman, an Associate Professor of Mathematics in Florida in US.
Enjoy
Rajesh Thakur
References:-
1. https://en.wikipedia.org/wiki/Friedman_number
2. http://www2.stetson.edu/~efriedma/mathmagic/0800.html
Monday, September 12, 2016
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