h2g2 The Hitchhiker's Guide to the Galaxy: Earth Edition

It is too complicated for me Jules. Just have a happy Xmas. My dear friend.

Okay. You do the same, PAL. Always good chatting with you.

That last thing is no big deal. They're all huge, so having over 200 in a row composit isn't anything. I submitted the number and all of the records I have for bases 2 through 5 translations. The base-5 one is nice, since the first to translate 8 times does it a 9th as well. I've also submitted for 6 the set of primes that translate from bases 5 then 4 then 3 through the first to translate from base 2. Aside from all of them having to end in 1, 19 of the other 57 digits are 1. I submitted one goof on 4441 that I noticed as soon as I submitted it. I'll have to resubmit. It's a nice one, but I got it wrong. I submitted a weird one today. 3673: 'Is it interesting that the first 6 primes that translate 3 times as primes from base 10 to base 100 are a pair of emirps (17 and 71), two palindromic primes (151 and 383), the first prime year of this millennium (2003), and the highest Elo rating ever achieved in chess (2851)?' I think what I'll submit tomorrow involves the first number that is the product of 7 distinct primes such that its reverse is also. It's 8 digits with 4444 in the middle.

The one just mentioned wasn't an original discovery (as wiki's PrimeHunter pointed out to me), but I submitted it anyway. I submitted also that Weisstein's 177719-digit prime has 190 in it 190 times, with the other numbers aside from 1 that divide the number of times they appear all being prime. That one was accepted right away, I guess because it's only the 2nd curio on 190. Last night I submitted one on 89, but unfortunately again I noticed a goof right after I submitted. Said 'factors' where I should have said 'prime factors'. It's the first prime that when you reverse it it reaches its home prime in one step, and it repeats 3 more times plus the number that this first happens 7 times with has 89 in it twice. I'll just be repeating that one tonight, fixing the error.

I just noticed how nice that one I just fixed was. The prime that is first to go through the procedure 7 times is 895040893. I hadn't even thought of the fact that 7!=5040 when I first submitted it. Glad I screwed it up the first time!

Hmmm. 365th post came and went on a good one without my noticing. Today I discovered coincidence in the digits of pi, for starters. 23571113 first occurs at the 8157777th and then the second time at the 63766066th digit after the decimal. I guess that's what I'm submitting tonight, but I have others.

Nice new coincidence: The first Smarandace-Wellin number, 23571113...p, that's divisible by 7^7 is 3838989 digits, and the first to be divisible by 3^14 (and also 3^15) is 3893939 digits.

Strange that there. Just factored both those in the last post. The largest factor in one is 16619, and the largest factor in the other is 3331. Thing is...I just hours ago resubmitted the curio on 4441. By the way, I crashed my computer by running it too hard so that I couldn't get the display back and had to shut down losing a lot of research. But about a day earlier I found out that the 1488th term of that sequence with the special 4th and 44th terms starts with 234 and is also a double base-4 translator.

Ah! I see it's past midnight in the UK. Happy New Year, PAL and anybody else who might be reading here. This is new, but I guess it's a day late: http://oeis.org/A183196

Happy New Year Julzes. I've been busy playing with a new toy.

My minds in the gutter a little, so please describe your toy (assuming the kinds of things that came to mind aren't it. Oh, have to do with photography? That is (sometimes) a 'clean' subject.

Add the close parenthesis and the appropriate smiley of your choice while you're at it, and Happy New Year to you, too. Left the door open. Don't want you to catch a cold.

It is a photographic printer. So that is it, I have camera, lights, post production software and now a printer.

So in theory I can do a really good photo, and the subject can have it stuck on their wall in less than a week.

Ah, good for you! Have fun with your toy then.

Submitted a long one on all the stuff about 177719 and 37765, submitted one on 10 that reads roughly '773 is the home prime of 10 and the first home prime of 5 numbers, and 77773 is the first home prime of 10 numbers' with a reference because I didn't discover it, and I submitted one on 50333 that comes from my http://oeis.org/A183196 . Take a look at that. That OEIS entry is wild. I discovered part of it on the date in question, but just checked part of it from a couple of days earlier.

Ah, already mentioned the entry. Sorry to be repeating.

Just dashed off the reverse concatenation of reverse concatenations 543214321321211 as my Curio today. Not doing much math right now.

the speed of light is as slow as 27 MPH in a sodium vapour

mirages are caused by the refraction of light from the sky,

I thought the object cloned itself

This is a great little movie - "The Nines", although it does drag a little in places. The following is a link to the official trailer:
http://www.youtube.com/watch?v=c5mFAc1OTVM

Another film about numbers is "The Number 23", which I found not so interesting. The following is a link to the official trailer:
http://www.youtube.com/watch?v=4ElUBr6-GLU

Not sure if there are any more number films. I thought the award winning film "A Perfect Mind" was interesting .

I don't think he had a perfect mind; did he? I vaguely remember a film about Nash, is that right? Or was it his daughter or am I confusing films.

Must run