Re: Sum over prime numbers function

Brereton, Ashley on Fri, 11 Dec 2020 17:27:14 +0100

[Date Prev] [Date Next] [Thread Prev] [Thread Next] [Date Index] [Thread Index]

Re: Sum over prime numbers function

To: Aaron Chen <aaronchen.lisp@gmail.com>, "pari-users@pari.math.u-bordeaux.fr" <pari-users@pari.math.u-bordeaux.fr>
Subject: Re: Sum over prime numbers function
From: "Brereton, Ashley" <mf0u6084@liverpool.ac.uk>
Date: Fri, 11 Dec 2020 16:27:10 +0000
Accept-language: en-US
Arc-authentication-results: i=1; mx.microsoft.com 1; spf=pass smtp.mailfrom=liverpool.ac.uk; dmarc=pass action=none header.from=liverpool.ac.uk; dkim=pass header.d=liverpool.ac.uk; arc=none
Arc-message-signature: i=1; a=rsa-sha256; c=relaxed/relaxed; d=microsoft.com; s=arcselector9901; h=From:Date:Subject:Message-ID:Content-Type:MIME-Version:X-MS-Exchange-SenderADCheck; bh=SeeH9wKXjLugPJtlbz5M/1/H0WP/717OuiJjzsdESYI=; b=PS8ZT8iMYplWBpbMa/JoFSAR9u/PQrdNOcgXkWKToOIyGTGEU8kkGSEkMvHeLZsWf45Q/1mYsTG4aGEaSAL5uiZpmAuQHGD3VWKet9gRuH2wIWfEtUaPKs+ZN7Cvb4PxhKu61/7nr/vLcxG05cxXZhsuf5CEXL1xJNHnsbTKdmO0APEoYpqUO00xI9xY5NMir3nu3jj/1cbYctdlLU8ZTgxoEVPN2NrD5+1QHZqeEKB2o+1w83EWGhhI2q4fNHvvYsDYD6X1fs2YUN9ZIS8R16VGafvEtgpQBSBXIL0WH3bKIFZWri6bmc19SEwDeivyGs0jYD4YTUL86uBdxGki6g==
Arc-seal: i=1; a=rsa-sha256; s=arcselector9901; d=microsoft.com; cv=none; b=H6T0oNZYH1JdNA9K/RHJ3B6a5Lhds9MPescYIdcEIFo+6Kum5SvErPqMtO1ucsgys2e5GXvFr6u00CsctwHoc/izMTgIMReO2bIpu29/cSwaXJdOCJW9AfxmzgP3BYRWgks+EsfIJYgXlM854ip7Cg4FfYq8R4K4NT10eefAwkr+GePys2FGmqIyeW2Uv8bz3LA2/TCYH/KaCZWnqOUB3SqK2gGZqwfQKi5YD6lFOsVb8Vp6HNR3TZ33j/TiR/9DrArwJA+4VDyLe+PbZ6HblDYtMfkC/Q02Y/fHSQbC9usfOoun48mHOjSxKbefXTDSTdZbI5fLo72yCNEFJhzFeA==
Authentication-results: gmail.com; dkim=none (message not signed) header.d=none;gmail.com; dmarc=none action=none header.from=liverpool.ac.uk;
Delivery-date: Fri, 11 Dec 2020 17:27:14 +0100
Dkim-signature: v=1; a=rsa-sha256; c=relaxed/relaxed; d=TheUniversityofLiverpool.onmicrosoft.com; s=selector2-TheUniversityofLiverpool-onmicrosoft-com; h=From:Date:Subject:Message-ID:Content-Type:MIME-Version:X-MS-Exchange-SenderADCheck; bh=SeeH9wKXjLugPJtlbz5M/1/H0WP/717OuiJjzsdESYI=; b=cKbt79y+qOK1YssORJRcNDcptffl+K4c5Sn5jFHT07ylO9PnybVRhK/ZCYcS/9ufFu7sYIegvjlKae08ru98RoMfqh3t52AMs5Q9Q7Tzq0VJ7R1omI0y60yyfTj6Y7qYeF/kklAFrU2Sv4x74viukIWHD6xocj85ZZJANdBMbco=
In-reply-to: <CAEumN9H3PZNnUnDdRLB0juEW=S7cHw_Jt4yEXaunRxRHgDeGGA@mail.gmail.com>
References: <CWLP265MB26098C98BCB14CE7263C6C89DACA0@CWLP265MB2609.GBRP265.PROD.OUTLOOK.COM> <20201211074817.GC13401@yellowpig>,<CAEumN9H3PZNnUnDdRLB0juEW=S7cHw_Jt4yEXaunRxRHgDeGGA@mail.gmail.com>
Thread-index: AQHWz2CPS6xFCpGID0qZwclctdZJyanxhTiAgAAMUICAAISQLQ==
Thread-topic: Sum over prime numbers function

Many thanks for the answers, that's a lot of help!

All the best,

Ash

From: Aaron Chen <aaronchen.lisp@gmail.com>
Sent: Friday, December 11, 2020 3:32 AM
To: pari-users@pari.math.u-bordeaux.fr <pari-users@pari.math.u-bordeaux.fr>
Subject: Re: Sum over prime numbers function

A very fast C++ implementation from Kim Walisch, see

https://github.com/kimwalisch/primesum, has been used to calculate up to 10^25. Quite amazing.

References:
- Sum over prime numbers function
  - From: "Brereton, Ashley" <mf0u6084@liverpool.ac.uk>
- Re: Sum over prime numbers function
  - From: Bill Allombert <Bill.Allombert@math.u-bordeaux.fr>
- Re: Sum over prime numbers function
  - From: Aaron Chen <aaronchen.lisp@gmail.com>

Prev by Date: Re: Sum over prime numbers function
Next by Date: Re: Sum over prime numbers function
Previous by thread: Re: Sum over prime numbers function
Next by thread: Re: Sum over prime numbers function
Index(es):
- Date
- Thread