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Number Theory Level 2

is 111111111...........11 (91 digits) composite ?

(please prove it in the comment)

yes no

Muhammad Dihya by Muhammad Dihya , 16, Indonesia

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1 solution

Mark Hennings
Apr 10, 2018

Since 91 = 7 × 13 91 = 7\times13 , the number 1111111 1111111 divides the target number, with the quotient being 1 + 1 0 7 + 1 0 14 + ⋯ + 1 0 84 1 + 10^7 + 10^{14} + \cdots + 10^{84}

3 Helpful 0 Interesting 0 Brilliant 0 Confused

I couldn't I gave up I guessed no because it would be same as 1, 11, 111, 1111, etc and I didnt know those had factors too Still I gave it the second like nonetheless because its objectively an interesting question even if it makes me really, really angry

chase marangu - 3 years ago

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