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Message boards : General discussion : Any recommendations for books on prime numbers

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Profile HammehProject donor
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Joined: 11 Nov 08
Posts: 114
ID: 31582
Credit: 4,377,201
RAC: 0
Discovered 1 Fermat divisorPPS LLR Bronze: Earned 10,000 credits (11,534)SGS LLR Bronze: Earned 10,000 credits (66,436)321 Sieve (suspended) Bronze: Earned 10,000 credits (34,150)Cullen/Woodall Sieve (suspended) Silver: Earned 100,000 credits (118,830)PPS Sieve Ruby: Earned 2,000,000 credits (3,857,433)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Bronze: Earned 10,000 credits (12,667)PSA Silver: Earned 100,000 credits (250,466)
Message 51751 - Posted: 20 Mar 2012 | 1:03:44 UTC

Hey guys!

I'm currently a student studying Computer Systems Engineering at the University of Wales. I have a great interest in electronics, programming and maths to some extent. I am fascinated by prime numbers which is why I have been a PrimeGrid member for so long!

As its coming up to summer time soon, I am interested in learning more about how computers are used in sieve and test prime numbers. I have an extensive programming knowledge ranging from a little bit of assembly, c and high level stuff like Java, C++ and VB.NET. I also did A-level maths so I'm not afraid to read through pages of equations etc.

I was just wondering if anyone could point me to any good printed texts about computing prime numbers or even towards a good book about prime numbers in general. I'm easy going, don't mind if its completely mind blowing stuff, I want to learn!

Thanks
Peter
____________

My Top 5000 Primes:
110059!+1 is prime! (FPS)
14493618614235*2^666666-1 is prime! (SGS)

Iain BethuneProject donor
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Posts: 1588
ID: 34775
Credit: 194,056,043
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321 LLR Gold: Earned 500,000 credits (597,175)Cullen LLR Amethyst: Earned 1,000,000 credits (1,355,381)ESP LLR Turquoise: Earned 5,000,000 credits (5,048,594)Generalized Cullen/Woodall LLR Ruby: Earned 2,000,000 credits (2,564,412)PPS LLR Amethyst: Earned 1,000,000 credits (1,025,115)PSP LLR Sapphire: Earned 20,000,000 credits (28,367,849)SoB LLR Jade: Earned 10,000,000 credits (16,215,329)SR5 LLR Turquoise: Earned 5,000,000 credits (5,189,992)SGS LLR Amethyst: Earned 1,000,000 credits (1,244,067)TRP LLR Turquoise: Earned 5,000,000 credits (5,169,405)Woodall LLR Amethyst: Earned 1,000,000 credits (1,070,956)321 Sieve (suspended) Bronze: Earned 10,000 credits (20,003)Cullen/Woodall Sieve (suspended) Silver: Earned 100,000 credits (200,371)Generalized Cullen/Woodall Sieve (suspended) Jade: Earned 10,000,000 credits (11,645,025)PPS Sieve Turquoise: Earned 5,000,000 credits (7,536,532)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Amethyst: Earned 1,000,000 credits (1,017,144)TRP Sieve (suspended) Gold: Earned 500,000 credits (554,946)AP 26/27 Ruby: Earned 2,000,000 credits (3,577,848)GFN Emerald: Earned 50,000,000 credits (97,047,976)PSA Ruby: Earned 2,000,000 credits (4,606,694)
Message 51758 - Posted: 20 Mar 2012 | 9:41:42 UTC - in response to Message 51751.

Hi Peter,

I would recommend:

*The New Book of Prime Number Records, Ribenboim - somewhat dated now but a very nice read and introduction to many basic concepts

*Prime Numbers A Computational Perspective, Crandall and Pomerance - more detailed approach to some of the methods and implementations

Also, a shameless plug for a talk I gave on the topic: http://www.epcc.ed.ac.uk/downloads/seminars/iain_bethune-prime_numbers210911_edit.mp3 and http://www.epcc.ed.ac.uk/downloads/seminars/PrimeNumbers.pdf

Cheers

- Iain
____________
Twitter: IainBethune
Proud member of team "Aggie The Pew". Go Aggie!
3073428256125*2^1290000-1 is Prime!

Profile HammehProject donor
Avatar
Send message
Joined: 11 Nov 08
Posts: 114
ID: 31582
Credit: 4,377,201
RAC: 0
Discovered 1 Fermat divisorPPS LLR Bronze: Earned 10,000 credits (11,534)SGS LLR Bronze: Earned 10,000 credits (66,436)321 Sieve (suspended) Bronze: Earned 10,000 credits (34,150)Cullen/Woodall Sieve (suspended) Silver: Earned 100,000 credits (118,830)PPS Sieve Ruby: Earned 2,000,000 credits (3,857,433)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Bronze: Earned 10,000 credits (12,667)PSA Silver: Earned 100,000 credits (250,466)
Message 51764 - Posted: 20 Mar 2012 | 11:58:14 UTC

No shame in plugging your own work! And its all very good stuff! =D Will have a full read through and listen to that tonight!!
I have a feeling some more books are coming my way!

Thanks so much for your help!
Peter
____________

My Top 5000 Primes:
110059!+1 is prime! (FPS)
14493618614235*2^666666-1 is prime! (SGS)

Message boards : General discussion : Any recommendations for books on prime numbers

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