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Not to be confused with Apocalyptic number.

An apocalypse number is a number having 666 digits in its decimal expansion.[1] There exist 10666 - 10665 = 9 × 10665 apocalypse numbers.

The smallest apocalypse prime is 10665 + 123, while the smallest apocalypse prime containing the number 666 is 10665 + 166,657[2], and the largest apocalypse prime is 10666 − 1,157.[3][4]

There are nine powers of single-digit numbers which are also apocalypse numbers (namely, 22,210, 22,211, 22,212, 31,394, 31,395, 5952, 6855, 7787 and 7788).

There are four f2(n) numbers which are also apocalypse numbers (namely, f2(2,198), f2(2,199), f2(2,200) and f2(2,201)).

There are two apocalyptic numbers which are also apocalypse numbers (namely, 22,210 and 22,212).

Finally, 273273 is also an apocalypse number.

Sources Edit

  1. Apocalypse Number -- from Wolfram MathWorld
  2. https://primes.utm.edu/curios/page.php?number_id=2690
  3. http://primes.utm.edu/curios/page.php?number_id=2680
  4. http://primes.utm.edu/curios/page.php?number_id=2681

See alsoEdit