NEW Game

[mikmik]

6981

10001?

[weegillis]

6982

6980

Palindromes with palindromic squares:

• 111 - 12321

Next?

[skip that]

111 squared, then raised to 111th power gives us the palindrome above.

[edit]
Or does it? Might just pass through it on the way to some ridiculously huge number.
[/edit]

[deepsand]

6983

10001?

Not there yet.

1001 - 1002001

Next?

BTW, are you the mikmik at PhysOrg? Or, is that a doppelganger?

[weegillis]

6984

Always even powers on E, I see that. But computationally I'm hamstrung as to the math or logic of finding the next.

Looks like binomial expansion. Is there a series to this? Or just random instances?

[mikmik]

6984
Are you the deepsand at pcworld? I am the one at phys.org. I used to go all the time to the forum and got into big argument with a real pretentious goomba who'd written a book about universal spirit and rehashed IDer malarky. It was over the top new-agey mumbo jumbo, so I called him on it, and 'translated' his obtuse exaggerated mumbo jumbo and ripped apart his arguments etc. It went for pages and finally I googled his name. He had written some books, but the interesting thing I found was his reports of UFOes launching from a mother ship that he and his family watched while driving on a crowded freeway one night. LMAO! I asked him why he was the only one that saw it, and then I got a warning from the moderators for swearing and I stopped replying to this guy.

I don't know what got my goat more, pseudo science new age crap on a physics site, or the pure BS this guy was peddling in his book. I know there is a term for that type of writing, I saw it discussed on Butterflies and Wheels(Fighting fashionable nonsense), but I can't, for the life of me, find it!

Did you peoples know that Windows calculator has different modes? Look in the view menu. I used the scientific calc, but I can't find a palindromic square. I just guessed the 10001, but now can't find 1001< x < 10001 where x^2 is a palindrome! I did, however, prove x^n + y^n ≠ z^n, but I don't have the room to write it here.
ttfn

[mikmik]

6986
Hah! 2002 = 4008004
Don't know if there's one below it, though. Don't think 3003 will work because 3 x 3 is more than 5.

[mikmik]

6987 <-- not prime, divides by three; not palindrome nor rhyming couplet.

weegillis, I can't see a pattern, well except for 10...1

[mikmik]

6988
Actually, 1001 cubed is a palindrome: 1003003001

[weegillis]

6989

12 345 678 987 654 321 / 111 = 1.11222333[???] × 10^14

[deepsand]

6990

Are you the deepsand at pcworld?

Yep; that's me.

Made a response to one of your recent posts there in a thread I'm in - hadn't seen you there before that - one that was clearly addressed to you alone, and one of that forum's sophists-in-training with whom I've been sparring, Razor91869, took it upon himself to presume that it was a post open to his comment. He's getting close to having me ream him a new one.

I am the one at phys.org. I used to go all the time to the forum and got into big argument with a real pretentious goomba who'd written a book about universal spirit and rehashed IDer malarky. It was over the top new-agey mumbo jumbo, so I called him on it, and 'translated' his obtuse exaggerated mumbo jumbo and ripped apart his arguments etc. It went for pages and finally I googled his name. He had written some books, but the interesting thing I found was his reports of UFOes launching from a mother ship that he and his family watched while driving on a crowded freeway one night. LMAO! I asked him why he was the only one that saw it, and then I got a warning from the moderators for swearing and I stopped replying to this guy.

I don't know what got my goat more, pseudo science new age crap on a physics site, or the pure BS this guy was peddling in his book. I know there is a term for that type of writing, I saw it discussed on Butterflies and Wheels(Fighting fashionable nonsense), but I can't, for the life of me, find it!

I used to post fairly frequently there; but, grew weary of the many who either know little of the Science involved, or try to use what they do know merely in attempt to prove their preconceived conclusions; then, of course, there are the sock puppets whom just keep chanting the mantras of Big Business, Big Oil, Big Coal, etal.. The lack of objectivity is appalling.

Did you peoples know that Windows calculator has different modes? Look in the view menu. I used the scientific calc, but I can't find a palindromic square. I just guessed the 10001, but now can't find 1001< x < 10001 where x^2 is a palindrome! I did, however, prove x^n + y^n ≠ z^n, but I don't have the room to write it here.
ttfn

Cool; now I can concentrate on a proof of the impossibility of odd Perfect Numbers.

6986
Hah! 2002 = 4008004
Don't know if there's one below it, though. Don't think 3003 will work because 3 x 3 is more than 5.

Only 9 possible 2xx2 values, none of which yield a palindromic square.

Haven't the time yet to put pencil to paper; but, I'm seeing some derivation of Pascal's Triangle involved.