Technical method for efficient estimation of the N-th prime number (licensing discussion)
Diego Galán Ruiz <[email protected]> Sun, 21 Dec 2025 16:28:03 +0000
| Newsgroups | gmane.comp.gnu.octave.general |
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| Message-ID | <PA1P251MB115090637151FC75965D46D0DDB7A@PA1P251MB1150.EURP251.PROD.OUTLOOK.COM> |
--_004_PA1P251MB115090637151FC75965D46D0DDB7APA1P251MB1150EURP_ Content-Type: multipart/alternative; boundary="_000_PA1P251MB115090637151FC75965D46D0DDB7APA1P251MB1150EURP_" --_000_PA1P251MB115090637151FC75965D46D0DDB7APA1P251MB1150EURP_ Content-Type: text/plain; charset="Windows-1252" Content-Transfer-Encoding: quoted-printable Dear GNU Octave team, My name is Diego Gal=E1n Ruiz. I am contacting you to share a novel technic= al method for the efficient estimation of the N-th prime number, developed within the Gal=E1n= =96Orion IA project. The method focuses on significantly reducing the search interval required p= rior to exact primality verification, while remaining fully compatible with existing deterministic = and probabilistic primality tests. We believe this approach may be of interest for mathematical software, symb= olic computation engines, or high-performance numerical applications. I would be glad to share a short technical overview under NDA, should this = be of interest to your research or product development teams. Kind regards, Diego Gal=E1n Ruiz Gal=E1n & Orion IA Spain (EU Enviado de Samsung Mobile Enviado desde Outlook para Android<https://aka.ms/AAb9ysg> --_000_PA1P251MB115090637151FC75965D46D0DDB7APA1P251MB1150EURP_ Content-Type: text/html; charset="Windows-1252" Content-Transfer-Encoding: quoted-printable <html> <head> <meta http-equiv=3D"Content-Type" content=3D"text/html; charset=3DWindows-1= 252"> </head> <body> <div dir=3D"auto" style=3D"font-family: Aptos, Aptos_MSFontService, -apple-= system, Roboto, Arial, Helvetica, sans-serif; font-size: 12pt; color: rgb(0= , 0, 0);"> <span style=3D"text-transform: none;">Dear GNU Octave team,</span></div> <div dir=3D"auto" style=3D"font-size: 12pt; color: rgb(0, 0, 0);">My name i= s Diego Gal=E1n Ruiz. I am contacting you to share a novel technical method= for the</div> <div dir=3D"auto" style=3D"font-size: 12pt; color: rgb(0, 0, 0);">efficient= estimation of the N-th prime number, developed within the Gal=E1n=96Orion = IA project.</div> <div dir=3D"auto" style=3D"font-size: 12pt; color: rgb(0, 0, 0);">The metho= d focuses on significantly reducing the search interval required prior to e= xact primality</div> <div dir=3D"auto" style=3D"font-size: 12pt; color: rgb(0, 0, 0);">verificat= ion, while remaining fully compatible with existing deterministic and proba= bilistic primality</div> <div dir=3D"auto" style=3D"font-size: 12pt; color: rgb(0, 0, 0);">tests.</d= iv> <div dir=3D"auto" style=3D"font-size: 12pt; color: rgb(0, 0, 0);">We believ= e this approach may be of interest for mathematical software, symbolic comp= utation</div> <div dir=3D"auto" style=3D"font-size: 12pt; color: rgb(0, 0, 0);">engines, = or high-performance numerical applications.</div> <div dir=3D"auto" style=3D"font-size: 12pt; color: rgb(0, 0, 0);">I would b= e glad to share a short technical overview under NDA, should this be of int= erest to your</div> <div dir=3D"auto" style=3D"font-size: 12pt; color: rgb(0, 0, 0);">research = or product development teams.</div> <div dir=3D"auto" style=3D"font-size: 12pt; color: rgb(0, 0, 0);">Kind rega= rds,</div> <div dir=3D"auto" style=3D"font-size: 12pt; color: rgb(0, 0, 0);">Diego Gal= =E1n Ruiz</div> <div dir=3D"auto" style=3D"font-size: 12pt; color: rgb(0, 0, 0);">Gal=E1n &= amp; Orion IA</div> <div dir=3D"auto" style=3D"font-size: 12pt; color: rgb(0, 0, 0);">Spain (EU= </div> <div dir=3D"auto" style=3D"font-family: Aptos, Aptos_MSFontService, -apple-= system, Roboto, Arial, Helvetica, sans-serif; font-size: 12pt; color: rgb(3= 3, 33, 33);"> <br> </div> <div id=3D"ms-outlook-mobile-body-separator-line" data-applydefaultfontstyl= es=3D"true" style=3D"font-family: Aptos, Aptos_MSFontService, -apple-system= , Roboto, Arial, Helvetica, sans-serif; font-size: 12pt;" dir=3D"auto"> <div dir=3D"auto" style=3D"font-family: Aptos, Aptos_MSFontService, -apple-= system, Roboto, Arial, Helvetica, sans-serif; font-size: 12pt;"> <br> </div> </div> <div style=3D"font-family:Aptos, Aptos_MSFontService, -apple-system, Roboto= , Arial, Helvetica, sans-serif;font-size:12pt" dir=3D"auto" id=3D"ms-outloo= k-mobile-signature"> <span style=3D"font-family: Aptos, Aptos_MSFontService, -apple-system, Robo= to, Arial, Helvetica, sans-serif; font-size: 12pt;">Enviado de Samsung Mobi= le</span><br> <span style=3D"font-family: Aptos, Aptos_MSFontService, -apple-system, Robo= to, Arial, Helvetica, sans-serif; font-size: 12pt;">Enviado desde <a href=3D"https://aka.ms/AAb9ysg">Outlook para Android</a></span></div> </body> </html> --_000_PA1P251MB115090637151FC75965D46D0DDB7APA1P251MB1150EURP_-- --_004_PA1P251MB115090637151FC75965D46D0DDB7APA1P251MB1150EURP_ Content-Type: application/pdf; name="TVD_v1_1_Galan_Orion_Corrected.pdf" Content-Description: TVD_v1_1_Galan_Orion_Corrected.pdf Content-Disposition: attachment; filename="TVD_v1_1_Galan_Orion_Corrected.pdf"; size=3395; creation-date="Sun, 21 Dec 2025 16:07:16 GMT"; 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