Talk:Vampire number
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My first mathematics article. Please edit mercilessly. :-) Mindspillage 03:55, 24 Aug 2004 (UTC)
- 7 is a vampire number, eh? Alexander 007 11:13, 14 March 2006 (UTC)
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- Look at that table one more time. Frigo 21:19, 28 November 2006 (UTC)
Do vampire numbers have any actual applications? Anything? 169.231.38.90 (talk) 22:04, 31 October 2009 (UTC)
- No, they are just a bit of recreational mathematics. Weird people like me spend time on them for fun. PrimeHunter (talk) 00:59, 1 November 2009 (UTC)
[edit] Other bases
Where are the vampire numbers of other bases? —Pengo 06:14, 6 October 2010 (UTC)
- I am Jens K. Andersen mentioned in the article. I have studied vampire numbers but not seen mention of other bases. "in a given base (usually decimal)" was added to the article in [1] by an IP address with no source or edit summary. I have just computed the first vampire numbers in bases 2 to 10 and only the base 10 sequence is in OEIS. I have reverted the IP edit since we have no evidence that vampire numbers have been defined or studied in other bases - before my original research a few minutes ago! PrimeHunter (talk) 02:31, 7 October 2010 (UTC)
- I found a French page [2] with other bases. It looks like a selfpublished website. PrimeHunter (talk) 02:40, 7 October 2010 (UTC)
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- Thanks for the research! I didn't actually notice that "usually decimal" bit. Just that vampire numbers are base-dependent and don't seem to have any special reason for being restrained to base-10. —Pengo 03:22, 7 October 2010 (UTC)
[edit] Prime vampire numbers (PVN)
- The first few prime vampire numbers are: 117067, 124483, 146137, 371893, 536539
Are there other PVN which are not square PVN ?? Nico92400 (talk) 18:55, 27 May 2011 (UTC)
- This was asked long ago but I didn't see it before. There are lots of other PVN which are not squares. The next is 2579×4013 = 10349527. I found the largest known PVN and the only reason it's a square is that large square PVN could be searched much faster with my algorithm. I guess almost all PVN are non-squares. PrimeHunter (talk) 23:23, 6 January 2012 (UTC)
