drafts in progress, comments would probably be premature

[kriesel]

GPU models no longer available to me for test
GTX 480
Tesla C2075
GTX 1070
GTX 1080Ti

[kriesel]

Someday, maybe, summarize software, computation type, hardware type, number name, formula, useful threads etc for non-Mersenne-numbers
https://www.mersenneforum.org/showthread.php?t=25874

Wagstaff
Riesel
Proth
Fermat

[kriesel]

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(are there more? https://www.gpu72.com/?)


https://www.mersenneforum.org/showpo...22&postcount=1

[kriesel]

early draft, maybe becomes a whole thread


Requirements:
64-bit hardware supported by Windows
WSL1: Windows 10 x64 v1607 or later per https://www.computerhope.com/issues/ch001879.htm
WSL2: Windows10 x64 ~v1909 or later, and a processor that supports vritualization (VT-X?), from personal experience.

Checking whether WSL is installed and what version: in a Windows command prompt, "wsl -l -v" https://onecompiler.com/questions/3w...wsl-versionupd
And it can be useful to "title wsl check" and leave the small command prompt box open as a reminder.

  NAME      STATE           VERSION
* Ubuntu    Stopped         1

Unless there is WSL but no Linux distro installed:

C:\users\User\Documents>wsl -l -v
Windows Subsystem for Linux has no installed distributions.
Distributions can be installed by visiting the Microsoft Store:
 https://aka.ms/wslstore

Or if WSL is not installed either:

'wsl' is not recognized as an internal or external command,
operable program or batch file.

Differences between WSL1 and WSL2 https://docs.microsoft.com/en-us/win...mpare-versions

Installing WSL2: update to required Windows 10 version or higher.
For x64 systems: Version 1903 or higher, with Build 18362 or higher.
For ARM64 systems: Version 2004 or higher, with Build 19041 or higher.
Install WSL 1. Then update to WSL 2.
https://www.windowscentral.com/how-i...sl2-windows-10

Simplified WSL2 install: Windows 10 build 20262 or higher https://docs.microsoft.com/en-us/win.../install-win10

A handy reference, including adding GUI and RDP to WSL https://adamtheautomator.com/windows...tem-for-linux/


Top of reference tree: https://www.mersenneforum.org/showpo...22&postcount=1

[kriesel]

Semiprimes are natural numbers that are products of exactly two factors other than one and themselves (and they may be squares). https://prime-numbers.info/article/semiprimes

http://oeis.org/A092561 lists Mersenne numbers that are semiprimes without regard to whether n is composite.
n Mn
4 15,
9 511,
11 2047,
23 8388607,
37 137438953471,
41 2199023255551,
49 562949953421311,
59 576460752303423487,
67 147573952589676412927,
83 9671406556917033397649407,
97 158456325028528675187087900671,
101 2535301200456458802993406410751

Subsetting to prime exponent < 100 gives
p for Mp and factors
11 2047 f=23; 89
23 8,388,607 f=47; 178481
37 137438953471 f=223; 616318177
41 2,199,023,255,551 f=13367, 164,511,353
59 576,460,752,303,423,487 f= 179951, 3 203431 780337
67 147,573,952,589,676,412,927 = 193 707721 × 761838 257287
83 9,671,406,556,917,033,397,649,407 = 167 × 57912 614113 275649 087721
97 158,456,325,028,528,675,187,087,900,671 = 11447 × 13 842607 235828 485645 766393
below p=100, 8 Mersenne semiprimes of prime exponent vs. 10 Mersenne primes.

in p= 100 to 200, 8 semiprimes vs. only 2 primes of prime exponent.
in p=200 to 500, 9 vs 0.
https://www.mersenne.org/report_expo..._hi=500&full=1