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Number Theory Level 3

10 0 300 , 300 ! \large \color{#20A900}{100^{300}} \ \ \ \ , \ \ \ \ \large \color{#3D99F6}{300!}

Which of these numbers above is larger?

Both are equal 10 0 300 100^{300} Cannot be determined 300 ! 300!

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Anurag Shekhar by Anurag Shekhar , 23, India

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1 solution

Theodore Sinclair
Mar 24, 2018

300!=30605751221644063603537046129726862938858880417357699941677674125947653317671686746551529142247757334993914788870172636886426390

775900315422684292790697455984122547693027195460400801221577625217685425596535690350678872526432189626429936520457644883038890975394

348962543605322598077652127082243763944912012867867536830571229368194364995646049816645022771650018517654646934011222603472972406633

325858350687015016979416885035375213755491028912640715715483028228493795263658014523523315693648223343679925459409527682060806223281

2387383880817049600000000000000000000000000000000000000000000000000000000000000000000000000 - 615 digits

10 0 300 100^{300} =100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

0000000000000000000000000000000000000000000000000000000000000000000000000000000000000 - Just 601 digits

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