This is for a school project on testing if you can count with the sqrt(2) and (2 + sqrt(2)).

CountingUp.rb

require 'twitter'

twitter = Twitter::REST::Client.new do |config|
  config.consumer_key        = "YOUR_CONSUMER_KEY"
  config.consumer_secret     = "YOUR_CONSUMER_SECRET"
  config.access_token        = "YOUR_ACCESS_TOKEN"
  config.access_token_secret = "YOUR_ACCESS_SECRET"
end

def getA(n)
  return ((n * 14142) + ((n * 1356) + ((n * 2373) + ((n * 950) + ((n * 4880) + ((n * 1688) + ((n * 7242) / 10000)) / 10000) / 10000) / 10000) / 10000) / 10000) / 10000
end

def getB(n)
  return ((n * 34142) + ((n * 1356) + ((n * 2373) + ((n * 950) + ((n * 4880) + ((n * 1688) + ((n * 7242) / 10000)) / 10000) / 10000) / 10000) / 10000) / 10000) / 10000
end

# Inital Variables #####################################
a = 7071067812
b = 2928932189
n = 10000000000

# Get User Settings ####################################

puts "Would you like to read in output.txt?"
answer = gets.chomp

if answer == "yes" || answer == "y"
  File.open("output.txt", "r") do |f|
    f.each_line do |line|
      if line["N:"] != nil
        n = line.scan(/\d/).join('').to_i
      end
      if line["A:"] != nil
        a = line.scan(/\d/).join('').to_i
      end
      if line["B:"] != nil
        b = line.scan(/\d/).join('').to_i
      end
    end
  end
end

puts "How high would you like to count to? 0 keeps default of 1,000,000,000,000,000"
answer = gets.chomp.to_i
max = 1000000000000000

if answer != 0
    max = answer
end


puts "What would you like the delay to be?"
delay = gets.chomp.to_i

puts "Would you like to send tweets?"
answer = gets.chomp
tweet = false

if answer == "y" || answer == "yes"
    tweet = true
end

# Start Counting ####################################

puts "\n\u{1f60e}\n"

if tweet
    twitter.update("Begining new count, starting at: " + n.to_s.reverse.gsub(/(\d{3})(?=\d)/, '\\1,').reverse  + " https://goo.gl/ZdMJiE" )
end

isA = false

uberStart = Time.now
start = Time.now


# Begin the Loop ####################################

while n < max
  if getA(a) == n
    a += 1
    isA = true
  elsif getB(b) == n
    b += 1
    isA = false
  else
    puts "error at: " + n.to_s
    puts "A: " + getA(a).to_s
    puts "B: " + getB(b).to_s
    break
  end

  finish = Time.now
  diff = finish - start
  
  if tweet && diff > 3600
    twitter.update("Current trillion counter is at: " + n.to_s.reverse.gsub(/(\d{3})(?=\d)/, '\\1,').reverse + " https://goo.gl/ZdMJiE" )
  end

  if diff > delay
    puts n.to_s.reverse.gsub(/(\d{3})(?=\d)/, '\\1,').reverse
    start = finish

    tempA = a
    tempB = b

    if isA
      tempA -= 1
    else
      tempB -= 1
    end

    File.open("output.txt", 'w') { |file| file.write("N: " + n.to_s + "\nA: " + tempA.to_s + "\nB: " + tempB.to_s) }
  end
  n += 1
end

# Finalize the Results ####################################

if isA
  a -= 1
else
  b -= 1
end

puts "A: " + a.to_s + " B: " + b.to_s
finish = Time.now
timeTaken = finish - uberStart
puts "it took: " + timeTaken.to_s + " to get to n: " + n.to_s

if tweet
    twitter.update("Finished counting to " + (n - 1).to_s.reverse.gsub(/(\d{3})(?=\d)/, '\\1,').reverse  + " in " + timeTaken + " seconds. https://goo.gl/ZdMJiE" )
end

output.txt

N: 10110441280
A: 292893218814
B: 1000000000000