how-to-know-sum-of-digits-3-313-3-354-

Question Number 47186 by naka3546 last updated on 05/Nov/18

h o w t o k n o w s u m o f d i g i t s :

3^{313} + 3^{354} ?

Answered by MJS last updated on 06/Nov/18

{it}^{'} s “ {only}^{″} a 169 - digit number

I squared mostly

3^{313} = 3^{256} \times 3^{32} \times 3^{16} \times 3^{8} \times 3

3^{354} = 3^{256} \times 3^{64} \times 3^{32} \times 3^{2}

and got

3^{313} + 3^{354} =

7 960 203 505 214 079 922 814 876 488 736

964 293 162 666 208 782 587 346 318 718

209 290 966 475 294 261 816 306 379 184

210 897 003 690 564 133 950 873 872 361

458 647 009 385 180 553 218 054 740 870

088 023 659 722 456 492

\Rightarrow sum of digits = 765

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