166 reputation
5
bio website jamesoakwood.co.uk
location England
age 56
visits member for 1 year, 4 months
seen Jul 18 at 8:40

I'm an analogue electronics design engineer by trade and a music hobbyist in my part-time. I live in Stafford, England. My music composition website is here and if you do pop by, please don't be too disappointed by my vocals!! Also note that some songs do use the occasional swear word.

I'm also writing a beginner's guide for digital filters aimed at rusty analogue engineers. I had to learn the hard way and although there's some useful stuff contained, there are still some areas in it I've not covered very well. If you want to take a look and comment/help/advise it's here.

And for fans of the world cup in Brazil here's my musical offering!!


Apr
23
awarded  Popular Question
Mar
14
awarded  Nice Question
Mar
14
comment Any two positive integers are co-prime if their sum is a prime number
I'm answering my own question with a link to another page in stack exchange that asks the same question. I don't think anyone need worry about this anymore unless there's something particularly useful to say that hasn't been said already. Thanks guys for the excellent feedback and promptness. math.stackexchange.com/questions/181505/…
Mar
14
comment Any two positive integers are co-prime if their sum is a prime number
Thanks Micah and thanks for introducing me to Bezout's theorem. I am a relative novice to these things and i do appreciate you guys giving up your time to comment.
Mar
14
comment Any two positive integers are co-prime if their sum is a prime number
Thanks Michael. I now think it is a trivial thing to prove but why you or I have never seen it written down surprises me (given the number of websites that seem to spout knowledge about primes and co-primes. Thanks again.
Mar
14
comment Any two positive integers are co-prime if their sum is a prime number
Yes I see that and many thanks @Achille. The math shows it is trivial but the words I used kind of made me suspect it wasn't trivial. I've still never seen it written though!!
Mar
14
awarded  Supporter
Mar
14
awarded  Student
Mar
14
comment Any two positive integers are co-prime if their sum is a prime number
Shaun, thank you for your answer. I am certainly no mathematician so if you could show me your proof I'd appreciate it. My proof: Consider (p+n) and (p-n) where n is an odd integer and p is a prime greater than 2. Because p is prime, (p+n) and (p-n) cannot exactly divide by n. GCD (p+n, p-n) = 2 therefore, (p+n)/2 and (p-n)/2 are co-prime.
Mar
14
comment Any two positive integers are co-prime if their sum is a prime number
I was just thinking about positive integers being co-prime if their sum is a prime number. I still think it's trivial what i'm asserting but i've not seen it on any math websites.
Mar
14
comment Any two positive integers are co-prime if their sum is a prime number
That was quick... I guess I was thinking about positive numbers so I'm sorry for not saying that. I'll go away and rethink my question a bit better!!
Mar
14
awarded  Autobiographer
Mar
14
asked Any two positive integers are co-prime if their sum is a prime number