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Let $G$=googolplex.

I tested a technique for splitting a googolplex into rough numbers.

$(\frac{G}{2} -3, \frac{G}{2} +3)$ have smallest prime divisor 149 between them.

$(\frac{G}{2} -783, \frac{G}{2} +783)$ have no known prime factors. Checked for all primes under 5852719141 at this moment.

I wasn't expecting to find a split this rough with a relatively small number like 783.

Can anyone find a prime factor for either of $(\frac{G}{2} -783, \frac{G}{2} +783)$?

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    Nicely detected! I think the only way to find a prime factor (perhaps!) is to continue the brute-force-search. – 2017-03-28
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    Related : http://math.stackexchange.com/questions/624030/prime-factor-of-14-uparrow-uparrow-3-15-uparrow-uparrow-3-wanted?rq=1 – 2017-03-30

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