In the number 6210001000:

• The digit 0 occurs 6 times
• The digit 1 occurs 2 times
• The digit 2 occurs 1 time
• The digit 3 occurs 0 times
• The digit 4 occurs 0 times
• The digit 5 occurs 0 times
• The digit 6 occurs 1 time
• The digit 7 occurs 0 times
• The digit 8 occurs 0 times
• The digit 9 occurs 0 times

See also The Quick Brown Fox …

115132219018763992565095597973971522401 = 1³⁹ + 1³⁹ + 5³⁹ + 1³⁹ + 3³⁹ + 2³⁹ + 2³⁹ + 1³⁹ + 9³⁹ + 0³⁹ + 1³⁹ + 8³⁹ + 7³⁹ + 6³⁹ + 3³⁹ + 9³⁹ + 9³⁹ + 2³⁹ + 5³⁹ + 6³⁹ + 5³⁹ + 0³⁹ + 9³⁹ + 5³⁹ + 5³⁹ + 9³⁹ + 7³⁹ + 9³⁹ + 7³⁹ + 3³⁹ + 9³⁹ + 7³⁹ + 1³⁹ + 5³⁹ + 2³⁹ + 2³⁹ + 4³⁹ + 0³⁹ + 1³⁹

The international symbol for recycling depicts a Möbius strip.

In 1984, a pet kitten was given to Koko, the Stanford University gorilla who communicates through sign language.

She cared for it as a baby gorilla until December of that year, when the cat escaped from her cage and was run down by a car.

When her trainers told Koko what had happened, she gave the signs for two words.

They were “cry” and “sad.”

The statement “no statements are true unless they can be proven scientifically” cannot be proven scientifically.

31
331
3331
33331
333331
3333331
33333331

… are all prime, but 333333331 = 17 × 19607843.

a + b = c

4a – 3a + 4b – 3b = 4c – 3c

4a + 4b – 4c = 3a + 3b – 3c

4(a + b – c) = 3(a + b – c)

4 = 3

It’s been known since 1876 that 2⁶⁷-1 isn’t prime, but for decades no one knew what the factors were.

Then, at a meeting in 1903, mathematician Frank Nelson Cole gave an hourlong “lecture” in which he didn’t say a word. On one chalkboard he expanded the value of 2⁶⁷-1:

147,573,952,589,676,412,927

On another he wrote:

193,707,721 × 761,838,257,287

Then he multiplied those values by hand. The two boards matched. He had found the factors. Cole returned to his seat amid a standing ovation.

He later admitted that finding the factors had taken “three years of Sundays.”