===================================================================== Solving maths with the computers ===================================================================== Ex 1) Brute force atack Write a program in C language that can find (only) solutions like: (82+8+1)^2 = 8281 (14+364+1)^2 = 143641 (5+1+2)^3 = 512 (6+72+4)^2 = 6724 (842+72+4)^2 = 842724 (62+726+4)^2 = 627264 (1+29+6)^2 = 1296 (929+29+6)^2 = 929296 (9+11+25)^3 = 91125 (5+715+36)^2 = 571536 (8+2+81)^2 = 8281 but omit cases such as as: (9+12+25)^3 = 97336 (5+715+37)^2 = 573049 (8+21+81)^2 = 12100 The output of the program should be saved in txt file (the list should be extended by at least 10 more positive examples). ===================================================================== Ex 2) Read "Advancing mathematics by guiding human intuition with AI" See: ./s41586-021-04086-x.pdf Additionally: https://www.nature.com/articles/d41586-023-04043-w https://en.wikipedia.org/wiki/Computer-assisted_proof https://en.wikipedia.org/wiki/Pi#Modern_quest_for_more_digits https://www.nature.com/articles/d41586-021-01627-2 https://www.nature.com/articles/d41586-022-03166-w https://www.nature.com/articles/d41586-021-03593-1 https://www.nature.com/articles/s41586-022-05172-4 https://bit.ly/3vLtW8v & https://arxiv.org/abs/2211.09055 =====================================================================