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-   -   Collection of interesting residues (https://www.mersenneforum.org/showthread.php?t=26388)

Viliam Furik 2021-01-09 02:12

Collection of interesting residues
 
Somewhere in the forum is a thread about interesting residues. I couldn't find it, so here is my one interesting residue:

E5D4D56490[B]DEAD[/B]8E ([M]2399387[/M])

Batalov 2021-01-09 02:30

An interesting exercise is to eval the probability of such 4-letter occurrence under (more or less adequate) assumption of random nature of residue values' distribution.

Other than that, this is a fairly popular initialization value (to detect memory leaks in one's code or similar) v = 0xDEADBEEF.

Viliam Furik 2021-01-09 02:43

Yes, I have seen similar things in the aforementioned thread. But still, it's funny to see it in one's own results.

kar_bon 2021-01-09 04:16

A quick search of some old residues reveals this:

3453*2^380518-1 : LLR Res64: 09B[B]DEADBEE[/B]8598F7
59095*6^143189-1 : RES64: B34A39EA4CC0E9F3. OLD64: 19[B]DEADBEE[/B]642BDD8

48047305725*2^112274-1 : LLR Res64: 2906942E2[B]DEADBED[/B]

190285095*2^6399-1 : LLR Res64: F975AE8[B]DEADBEAF[/B]F

Test them with LLR for this data file:
[code]
1:M:1:2:258
3453 380518
48047305725 112274
190285095 6399
1:M:1:6:258
59095 143189
[/code]

You can find the residue-thread [url='https://www.mersenneforum.org/showthread.php?t=11288']here[/url].

Viliam Furik 2021-01-09 10:45

[QUOTE=kar_bon;568802]You can find the residue-thread [url='https://www.mersenneforum.org/showthread.php?t=11288']here[/url].[/QUOTE]

Thank you!

Viliam Furik 2021-01-21 23:37

[M]178476583[/M] - FT residue - AAC73522A1[B]BE[/B]2[B]BAD[/B]

Well, it was bad...


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