A007356 Apocalyptic powers: 2^a(n) contains 666.
157, 192, 218, 220, 222, 224, 226, 243, 245, 247, 251, 278, 285, 286, 287, 312, 355, 361, 366, 382, 384, 390, 394, 411, 434, 443, 478, 497, 499, 506, 508, 528, 529, 539, 540, 541, 564, 578, 580, 582, 583, 610, 612, 614, 620, 624, 635, 646, 647, 648, 649, 650
Offset: 1
Examples
a(1) = 157 is a term since 2^a(1) = 2^157 = 182687704666362864775460604089535377456991567872 contains 666.
References
- C. Pickover, Mazes for the Mind, St. Martin's Press, NY, 1992, p. 337.
- N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
Links
- T. D. Noe, Table of n, a(n) for n = 1..1000
- Brady Haran and Tony Padilla, Apocalyptic Numbers, YouTube Numberphile video, 2024.
- Eric Weisstein's World of Mathematics, Apocalyptic Number.
Programs
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Maple
q:= n-> searchtext("666", cat(2^n))>0: select(q, [$1..1000])[]; # Alois P. Heinz, Oct 26 2019 -
Mathematica
Select[Range[650],SequenceCount[IntegerDigits[2^#],{6,6,6}]>0&] (* Harvey P. Dale, Apr 10 2022 *) -
Python
A007356_list = [k for k in range(1000) if '666' in str(2**k)] # Chai Wah Wu, Oct 26 2019
Comments