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 2021-06-10, 17:01 #1 MattcAnderson     "Matthew Anderson" Dec 2010 Oregon, USA 110110 Posts Today's Favorite Mega Number A favorite mega number must be a whole number greater than one million. If you want to go down this rabbit hole, see Matt Parker and Brady Herron on YouTube Search YouTube.com for "Stand Up Maths" or "Singing Banana. easy click - https://www.youtube.com/results?sear...stand+up+maths So today, we have 1,754,847. Chosen for an arbitrary reason. It ends in 7 so it is not divisible by 2 or 5. It is less than two million, and to me, 17 is strong because it sounds like 'save a team'. So, thanks to Maple - computer algebra system, we see that This C7, that is seven digit composite number, namely 1,754,847 factors as 3 * 3 * 73 * 2671. That is, a P1, another P1, a P2 and a P4 : -- ) Just count the digits. Good Fun. Regards, Matt Last fiddled with by MattcAnderson on 2021-06-12 at 21:39 Reason: added the word 'count'
 2021-06-12, 06:20 #2 MattcAnderson     "Matthew Anderson" Dec 2010 Oregon, USA 100010011012 Posts Hi again all My new favorite Mega number is 1,249,281 and, thankfully, due to Maple, computer algebra system, we see a prime factorization, so ifactor(1,249,281) is 3*3*11*12619. Very Interesting Cheers, Matt
 2021-06-12, 06:28 #3 MattcAnderson     "Matthew Anderson" Dec 2010 Oregon, USA 110110 Posts And another one due to factordb.com changed one digit from the other one it is true that 9249281 = 137 · 181 · 373 Regards, Matt
 2021-06-12, 07:47 #4 MattcAnderson     "Matthew Anderson" Dec 2010 Oregon, USA 3×367 Posts Matt here, with another fun Mega number, starting with one computer tool - Maple tells me that ifactor(1,934,582); is (2) (13) (37) (2011) Ah yess, 2011 a very good year for music. We remember that Adele sang "Someone Like You" Still Fun. Matt
 2021-06-12, 08:43 #5 MattcAnderson     "Matthew Anderson" Dec 2010 Oregon, USA 3×367 Posts Starting from the middle and using year numbers we have 2021 = 43*47 see Michael Penn discuss a Putnam exam question https://www.youtube.com/watch?v=gn9ePie41xk also 2019 = 3*673 and 2021*2019 = 4,080,399. so ifactor(4,080,399) is 3*43*47*673. again Maple, the wonderful computer algebra system did all the heavy lifting, I mean factoring. Fun for me, and you, fine reader. Matt
 2021-06-12, 12:51 #6 MattcAnderson     "Matthew Anderson" Dec 2010 Oregon, USA 3×367 Posts Hi again all, This is a new day, and we have a new number Again, our tool of choice is Maple, a fully capable computer algebra system. We see that ifactor(2,295,147) = 3*23*29*31*37. We have a fairly large Composite number that factors so some relatively small Prime numbers. Specifically a C7 (seven digit composite number) - factors to a P1 and four P2. We say that 2,295,147 is 37-smooth because 37 is the greatest prime divisor of our C7. More fun every day. Regards, Matt
 2021-06-12, 21:31 #7 MattcAnderson     "Matthew Anderson" Dec 2010 Oregon, USA 44D16 Posts Hi again all This is still a lot of fun for me. As before, Maple - a super duper computer algebra system, was used. We see that ifactor(1826527) is 383* 251*19 so 1,832,527 is 383-smooth. And, indeed, every positive integer is something-smooth. Regards, Matt
2021-06-12, 21:34   #8
Viliam Furik

"Viliam Furík"
Jul 2018
Martin, Slovakia

3·251 Posts

Quote:
 Originally Posted by MattcAnderson see Matt Parker and Brady Herron on YouTube
His name is Brady Haran, FYI.

 2021-06-12, 22:18 #9 Batalov     "Serge" Mar 2008 Phi(4,2^7658614+1)/2 100110010111112 Posts Thank you Matt! And thank you for the upcoming 8,999,994 more posts, that will surely follow (we have no doubts). Please stick to your own rules and post no more than 1 of these "Today's" posts per day. So far you have failed to uphold your own standard. We are disappointed.
 2021-06-13, 02:18 #10 axn     Jun 2003 14EF16 Posts Brady is the producer of Numberphile (and many other ) channel. Singing Banana is Prof. James Grime. FYI.
 2021-06-13, 04:34 #11 LaurV Romulan Interpreter     "name field" Jun 2011 Thailand 2×17×293 Posts We love Zvezdelina! Our favorite teacher EVER!

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