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Digit Hunting (Posted on 2019-01-26)

Find the third digit after the decimal point of

(2 + √5)¹⁰⁰((1 + √2)¹⁰⁰ + (1 + √2)^-100)

No Solution Yet Submitted by Danish Ahmed Khan

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by computer calculation

| Comment 1 of 4

Wolfram Alpha calculates this as

94158733601034420664808450657998303298219601745567527892456021922994873597395955752869490271254871747

.9999999999999999999999996186915243507242961564029332966750212181162222265977213142686546252118999605

19423684180092081914323196978045755251586675931342738077344116393889493230764895719537118962388645393

54495712311433149365421036413779742745737384840999434661547047724647470679441337208695855395257475466

61422915111493207563257436486520985643316978032...

When the formula is put into UBASIC, the results agree with the above.

The third digit after the decimal point is one of the 9's.

Edited on January 26, 2019, 3:10 pm

Posted by Charlie on 2019-01-26 15:09:29

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