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

1,1

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

Table of n, a(n) for n=1..36.

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.

Sequence in context: A280404 A054811 A164773 * A054812 A020392 A216590

Adjacent sequences: A320998 A320999 A321000 * A321002 A321003 A321004

Keyword

nonn,base

Author

N. J. A. Sloane, Nov 01 2018

Status

approved