[QUOTE=Dr Sardonicus;563805]Hmm, rings a bell.[indent][color=darkred]That girl has problems, bein' heard ain't one of 'em .[/color][/indent] Ethel Merman, referring to Janis Joplin[/QUOTE]
He was probably refering to: [indent][color=darkred]Got 99 problems and a bitch ain't one[/color][/indent] IceT 1993 
[QUOTE=storm5510;563536]YCruncher seems to prefer vast amounts of swap/storage space on drives over lot of RAM.[/QUOTE]
Only just saw this, forgot this forum was here. Ycruncher would love as much ram as is needed, but in reality no consumer attainable system can possibly have enough ram for the bigger runs. We're talking well into the TB that not even high end servers can reach. And that's putting aside the cost of that much ram even if you could put it in a single system. So the practicality of it is, you have to use some form of swap as a less insane cost substitute, and that is where the optimisation needs to go. 
To prove that you computed [I]x[/I] digits of pi, couldn't you store only a checksum of all of the digits and keep the last digit "for fun"?
:mike: 
[QUOTE=Xyzzy;565140]To prove that you computed [I]x[/I] digits of pi, couldn't you store only a checksum of all of the digits and keep the last digit "for fun"?
:mike:[/QUOTE]Don't see why not. Computing the last digit is much cheaper than computing them all. 
[QUOTE=xilman;565141]Don't see why not. Computing the last digit is much cheaper than computing them all.[/QUOTE]Would the NT community accept the last digit and a checksum as a record? (Say you ran it twice with a different algorithm each time and both checksums matched.)
:mike: 
The last 10 digits and a 128 bit checksum would be enough, I would suppose.

Digit extraction algorithms exist. So merely producing a few trailing digits wouldn't be enough to prove you computed all the digits up to that point.
A hash of all digits up to your claimed last digit would be suitable IMO. 
[QUOTE=Xyzzy;565355]Would the NT community accept the last digit and a checksum as a record? (Say you ran it twice with a different algorithm each time and both checksums matched.)
:mike:[/QUOTE] [QUOTE=retina;565379]Digit extraction algorithms exist. So merely producing a few trailing digits wouldn't be enough to prove you computed all the digits up to that point. [/QUOTE] There is no BBP type formula for Pi in base ten [though there could be], [url]https://en.wikipedia.org/wiki/Bailey%E2%80%93Borwein%E2%80%93Plouffe_formula[/url] . But even giving only the last few bits would enable to provide a fake proof, just give the exact bits from BBP and give a trash hash value. [notice that even giving say hundred consecutive bits of Pi is "easy"]. Much better: if you're claiming a world record then I would choose 1 million random positions and you should give the bits for each of these positions. The check: select say 2025 positions and verify the bits with BBP. You have an extremely small probability to fake me. This is assuming that when you need multiple bits of Pi then there is no faster method than to use the BBP formula for each position. 
Group the bytes by 32 or 64 and compute a SHA256 or SHA512 of it. I don't believe anybody would contest that.

[QUOTE=LaurV;565526]Group the bytes by 32 or 64 and compute a SHA256 or SHA512 of it. I don't believe anybody would contest that.[/QUOTE]
So you would accept any(?) hash value as a proof, say claiming 256T digits of Pi, and giving only sha256 as: [CODE] a19a6c3a75783b6b5deee64777873ae207764837e769eedbe9b4c485d94b2986 [/CODE] 
Yep. After I remake the calculus to see if I get the same value... :razz:
I assume somebody verifies this things, anyhow... Or not? 
All times are UTC. The time now is 19:02. 
Powered by vBulletin® Version 3.8.11
Copyright ©2000  2023, Jelsoft Enterprises Ltd.