666 and godly numbers

[Jonathan Post]

It is a Category Error, philosophically, to confuse a string of
numerals with something that they represent outside of the abstract
world of integer arithmetic (i.e. 666 = Satan, or 888 = Jesus).

Nonetheless, you can easily verify with Googling that "888" is the
genuinely "godly" number in Christian numerology, which derived from
Hebrew Gematria. I can visualize njas wincing when he sees this.
Sorry, Neil.

On Tue, Mar 4, 2008 at 9:27 AM, Joshua Zucker <joshua.zucker at gmail.com> wrote:
> On Tue, Mar 4, 2008 at 6:27 AM, Maximilian Hasler
>  <maximilian.hasler at gmail.com> wrote:
>  >  So one should think about an alternate definition (easiest:
>  >  "ungodly"(?) numbers, a supersequence of
>  >  A121205 : "666" in bases 7 and higher rewritten in base 10.
>
>  OK, I computed all terms less than 100000 for this "ungodly" sequence
>  and submitted them to OEIS just now.  Below I made this message
>  shorter by stopping at 10000 (so the below is a subset of my
>  submission to OEIS).  I hope Max&Maximilian are OK with my giving
>  credit as in the below; if not please let me know how you'd like me to
>  rewrite the submission.
>
>  --Joshua
>
>  %I A000001
>  %S A000001 342 438 546 666 685 798 942 950 1028 1098 1266 1275 1371
>  1446 1462 1638 1666 1714 1842 1974 2004 2057 2058 2129 2286 2394 2395
>  2396 2397 2398 2399 2400 2486 2526 2666 2670 2733 2743 2778 2998 3042
>  3086 3295 3318 3429 3460 3462 3504 3505 3506 3507 3508 3509 3510 3511
>  3606 3666 3772 3906 4010 4022 4115 4191 4218 4398 4458 4534 4542 4666
>  4791 4795 4796 4797 4798 4799 4800 4801 4821 4878 4914 4915 4916 4917
>  4918 4919 4920 4921 4922 5046 5144 5226 5487 5492 5558 5586 5649 5666
>  5734 5830 5958 6070 6122 6126 6173 6342 6378 6516 6582 6660 6661 6662
>  6663 6664 6665 6666 6667 6668 6669 6738 6754 6755 6859 7094 7107 7146
>  7196 7197 7198 7199 7200 7201 7202 7453 7545 7566 7600 7601 7602 7603
>  7604 7605 7606 7607 7666 7689 7836 7854 7888 7890 7998 8118 8196 8231
>  8442 8565 8574 8630 8666 8778 8779 8780 8781 8782 8783 8784 8785 8786
>  8787 8788 8898 8917 9142 9145 9260 9294 9366 9498 9582 9597 9598 9599
>  9600 9601 9602 9603 9654 9666 9830 9846 9886 9946
>  %N A000001 "Ungodly" numbers: numbers that, in some base b>6, contain
>  the string 666 at least once in their expansion.
>  %C A000001 Max Alekseyev asked if there are an infinite amount of
>  godly numbers.  Maximilian Hasler pointed out that up to the length in
>  OEIS, the godly numbers would just look like the integers, and
>  suggested submitting the ungodly numbers.
>  %e A000001 342 is in the sequence because 342 = 666 base 7.  685 is in
>  the sequence because 685 = 1666 in base 7.  99968 is in the sequence
>  because 99968 = 3666B in base 13.
>  %Y A000001 A121205 is the numbers that in some base b are represented
>  exactly as 666, so is a subsequence of this sequence.
>  %O A000001 1
>  %K A000001 ,base,nonn,
>  %A A000001 Joshua Zucker (joshua.zucker at stanfordalumni.org), Mar 04 2008
>