Milestone Problem $1$

Number Theory Level pending

Thanks to the $350$ solvers who've solved my problems!

Find prime divisors of the taxicab number $1729$ .

If none, $0$ is the answer to type.

If one, $\frac{1729}{p_1^2 + p_1}$ is the answer to type.

If more, $(p_1 + p_2 + p_3)^{-1} + p_1 + p_2 + p_3 + 1 +$ $\frac{p_1 + p_2}{p_3}$ is the answer to type.

Keep solving and posting solutions!

Note: $p_1 < p_2 < p_3$ .

1 solution

Yajat Shamji
Jul 9, 2020

Prime divisors of $1729$ : $7, 13, 19$

$7 + 13 + 19 = 39$

$39 + 1 = 40$

$39^{-1} =$ $\frac{1}{39}$

$7 + 13 = 20$

$\frac{1}{39}$ $+$ $\frac{20}{19}$ $=$ $\frac{799}{741}$

$\frac{799}{741}$ $+ 40$

$741 \times 40 = 29640$

$29640 + 799 = 30439$

$\frac{30439}{741}$ $= \fbox{41.0782726}$

Keep solving and posting solutions!

why are you posting simple questions? For points or solvers?? Doesn't this violate Brilliant guideline which says user can't ask trivial questions??

Paramananda Das - 11 months, 1 week ago

Neither. It's like a thanks question.

Yajat Shamji - 11 months, 1 week ago

Also, the Simple. series is because I have nothing at the moment.

Yajat Shamji - 11 months, 1 week ago