Why does Google show that 2^1000 = 1.07150861 × 10^301?

#1

Post by WorldMover » Sat, Jul 09, 2011, 10:35 PM UTC

Why does Google show that 2^1000 = 1.07150861 × 10^301?
google.co.uk

Re: Why does Google show that 2^1000 = 1.07150861 × 10^301?

#2

Post by inportb » Sat, Jul 09, 2011, 11:21 PM UTC

That looks correct to me, to the given number of significant figures. Did you expect to get all 301 digits? I don't think Google Search provides that kind of precision ;p

However, you could easily compute this yourself...

  >>> 2**1000
  1071508607186267320948425049060001810561404811705533607443750
  3883703510511249361224931983788156958581275946729175531468251
  8714528569231404359845775746985748039345677748242309854210746
  0506237114187795418215304647498358194126739876755916554394607
  7062914571196477686542167660429831652624386837205668069376L

Re: Why does Google show that 2^1000 = 1.07150861 × 10^301?

#3

Post by ez77 » Sun, Jul 10, 2011, 12:04 AM UTC

inportb wrote: post #2

That looks correct to me, to the given number of significant figures. Did you expect to get all 301 digits? I don't think Google Search provides that kind of precision ;p However, you could easily compute this yourself... >>> 2**1000 1071508607186267320948425049060001810561404811705533607443750 3883703510511249361224931983788156958581275946729175531468251 8714528569231404359845775746985748039345677748242309854210746…

That is,

  >>> 2**1000

Re: Why does Google show that 2^1000 = 1.07150861 × 10^301?

#4

Post by icebraining » Sun, Jul 10, 2011, 12:19 AM UTC

inportb wrote: post #2

That looks correct to me, to the given number of significant figures. Did you expect to get all 301 digits? I don't think Google Search provides that kind of precision ;p However, you could easily compute this yourself... >>> 2**1000 1071508607186267320948425049060001810561404811705533607443750 3883703510511249361224931983788156958581275946729175531468251 8714528569231404359845775746985748039345677748242309854210746…

WolframAlpha does print all the digits (which makes sense, since it's their core business): http://www.wolframalpha.com/input/?i=2^1000

Re: Why does Google show that 2^1000 = 1.07150861 × 10^301?

#5

Post by inportb » Sun, Jul 10, 2011, 12:28 AM UTC

ez77 wrote: post #3

inportb wrote: post #2

That looks correct to me, to the given number of significant figures. Did you expect to get all 301 digits? I don't think Google Search provides that kind of precision ;p However, you could easily compute this yourself... >>> 2**1000 1071508607186267320948425049060001810561404811705533607443750 3883703510511249361224931983788156958581275946729175531468251 8714528569231404359845775746985748039345677748242309854210746…

That is, >>> 2**1000

Thank you. I n00bfaced, heh.

Re: Why does Google show that 2^1000 = 1.07150861 × 10^301?

#6

Post by WorldMover » Sun, Jul 10, 2011, 8:30 AM UTC

inportb wrote: post #2

That looks correct to me, to the given number of significant figures. Did you expect to get all 301 digits? I don't think Google Search provides that kind of precision ;p However, you could easily compute this yourself... >>> 2**1000 1071508607186267320948425049060001810561404811705533607443750 3883703510511249361224931983788156958581275946729175531468251 8714528569231404359845775746985748039345677748242309854210746…

I was wondering why does it show it at all, when it doesn't show 31000, or 41000 for example