Dark Mind Posted September 14, 2005 Report Share Posted September 14, 2005 Turtle is endowed with perpetual birthdays with just enough time in between to recover from the hangovers. It's a scientific mystery on a grand scale!:D I told you perpetuality was possible :eek2:. ...Not exactly in this sense, but hey, I'll take my wins where I can get 'em :xx:. I'm sure this mystery could be abruptly solved pending Turtle's restriction to change his DOB :D. Some mysteries are best left unsolved though :xx:... Quote Link to comment Share on other sites More sharing options...
Buffy Posted September 14, 2005 Report Share Posted September 14, 2005 Alice: That would be very nice. I’m sorry I interrupted your birthdayparty... uh, thank you.March Hare: Birthday? Hahaha! My dear child, this is not a birthdayparty!Mad Hatter: Of course not! Hehehe! This is an unbirthdayparty!Alice: Unbirthday? Why, I’m sorry, but I don’t quite understand.March Hare: It’s very simple. Now, thirty days have sept- no, when... an unbirthday, if you have a birthday then you... haha... she doesn’t know what an unbirthday is!Mad Hatter: How silly! Ha HA Ha Ha! Ah-hum... I shall ellusinate! Now statistics prove, prove that you’ve one birthday.March Hare: Imagine, just one birthday every year.Mad Hatter: Ahhh, but there are 364 unbirthdays!March Hare: Precisely why we’re gathered here to cheer!Alice: Why, then today is my unbirthday too!March Hare: It is?Mad Hatter: What a small world this is. Merry Unbirthday Turtle! Tooot! :eek2: Buffy Quote Link to comment Share on other sites More sharing options...
Turtle Posted September 16, 2005 Report Share Posted September 16, 2005 ___Thank you all for your best wishes. :xx: :eek2: :D :D :xx: :xx: As I see by the Hypography Calendar no one has a birthday today, I deduce it is my un-birthday as Buffy observed. I have un-bought gifts for you all on this audatiously auspicious occasion & welcome you to un-celebrate again for the first time. :xx: Quote Link to comment Share on other sites More sharing options...
Tormod Posted September 16, 2005 Author Report Share Posted September 16, 2005 How very un-becoming of you! I am most un-grateful. :eek2: Quote Link to comment Share on other sites More sharing options...
Qfwfq Posted September 16, 2005 Report Share Posted September 16, 2005 Well, I've been missing a lot of fun here, happy nth birthday, T! :eek2: Oh well. I'll find another base that would make it a palindrome... eventually.For bases in which 1898 is a two digit palindrome, (any factor of 1898 except 2) - 1. Easy, 1898 = 2*13*73. a(x + 1) = N. => x = 12, 72, 25, 145, 948, 1897 For three digits, any integer x that solves: a(x^2 + 1) + bx = N with integer a and b. Trickier. Perhaps we've found new reference problems of cryptographic use? :xx: :xx: :D Quote Link to comment Share on other sites More sharing options...
Qfwfq Posted September 16, 2005 Report Share Posted September 16, 2005 :xx: I was neglecting the condition x > a (and :xx:!!! :eek2: For two digits it implies factors greater than root of N: bases 72, 145, 948. Quote Link to comment Share on other sites More sharing options...
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