Primes 1008 02 [A4 size art print]


Shipping to United States: $10.73

If the universe is a mystery it is at least partially because prime numbers are a mystery. Prime numbers are the building blocks of reality. Anything that can be measured or counted is ultimately built out of the irreducible building blocks of prime numbers.

Their secrets have occupied the thoughts - the entire lives - of mathematicians. And though many of those secrets have been yielded up, the mystery remains.

Primes 1008 is new variant on an old favourite. The circles represent the first 1008 integers - 42 rows of 24 circles. The circles with black lines round them are prime numbers. For the circles without black lines, their colour represents the smallest prime number which is one of their factors, e.g. 930=31*5*3*2 so the colour is the same as 2. This method is known as the Seive of Eratosthenes - finding prime numbers by first removing multiples of smaller numbers until all that is left is a prime. To cover all the factors needed to create the first 1008 numbers, the primes used are 2, 3, 5, 7, 11, 13, 17, 19, 23, 29 & 31 - they are the only coloured circles with black lines, from the light shade of 2 to the darkest shade of 31. Because 24 is divisible by 6, the arrangement on this version highlights the fact that (apart from 2 &3) every prime number is next to number divisible by six. Note the way that the primes often cluster in columns, but never more than 4 together - I'll leave it to you to work out why.

If you can see a bigger pattern, your name could be remembered down the centuries.

Designed by David Lawrence, d/dx art prints are created to order on heavyweight Canson Infinity Museum Rag produced at the centuries-old Arches paper mill in France. This superb art paper is acid-free and uses no optical brighteners to degrade over time.

Ultrachrome K3 inks provide vivid colours which will last without fading for many decades in normal conditions. The robustness of the paper makes DIY framing a simple matter and frames of the correct size are widely available.

This print is standard European A4 (210*297mm) in size and is unframed. (An A3 sized version is available as a separate listing.) It will be packed flat in a crystal envelope with cardboard stiffener and posted in a rigid protective container.

Shipping & Policies

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Shipping from United Kingdom

We post items wherever possible within 2 working days. Prints are posted in rigid boxes via Royal Mail (First Class within the UK).


Returns & Exchanges

I gladly accept returns and exchanges

Just contact me within: 14 days of delivery

Ship items back to me within: 30 days of delivery

I don't accept cancellations

But please contact me if you have any problems with your order.

The following items can't be returned or exchanged

Because of the nature of these items, unless they arrive damaged or defective, I can't accept returns for:

  • Custom or personalized orders
  • Perishable products (like food or flowers)
  • Digital downloads
  • Intimate items (for health/hygiene reasons)

Returns and exchange details

In the unlikely event that there is a flaw in your print we are happy to exchange it or refund the price on return. In the event of damage in transit, it helps if you can provide photographic or other evidence so that we can claim from Royal Mail.


The colours you are seeing on your monitor are inevitably not precisely the colours you would see if you were looking at the same design in printed form. There is simply no way around that, since the internet places limits on the range of colours that can be displayed and, even if that were not the case, every monitor is subtly (sometimes wildly!) different in the way it displays colours.

But you can be reassured that the quality of our equipment is such that colours and quality are consistent over time and the print you receive will be identical to other prints sold in galleries and art fairs to buyers who have every opportunity to handle and assess them.

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