A321001 Primes which contain the fax number of the beast (667).

1667, 6673, 6679, 10667, 15667, 16673, 25667, 31667, 34667, 36671, 36677, 39667, 42667, 45667, 46679, 49667, 52667, 54667, 55667, 56671, 57667, 61667, 63667, 64667, 66701, 66713, 66721, 66733, 66739, 66749, 66751, 66763, 66791, 66797, 70667, 76667

Offset: 1

Author

N. J. A. Sloane, Nov 01 2018

Keywords

• nonn
• base

Comments

Since the so-called beastly primes (containing the digit string 666) were mentioned recently in a Numberphile video (see link), I guess it is now OK to include these numbers (which are based on the old convention that your fax number was one more than your telephone number) in the OEIS.

Note that there is no analog of A232448, because 1 0^k 667 0^k 1 is always divisible by 3 and is never prime.

Links

• Tony Padilla and Brady Haran, The Most Evil Number, Numberphile Video, October 2018
• Margaret Wertheim, The Fax Numbers of the Beast, and Other Mathematical Sports: An Interview with Neil Sloane, Cabinet Magazine, Issue 57, Spring 2015, pages 48-54.

Crossrefs

Cf. beastly primes A131645, also A232448.