Prime Numbers Museum

I've always been fascinated by prime numbers, so much so that it alone was enough to motivate me to study math in university.

Prime numbers are incredibly rare, especially very large ones.

Here is a collection of interesting, large, or artistic primes that I've found.

Picture Primes

A Rubik's Cube constructed from the coloured digits of a 4096-digit prime

Rubik's Cube Prime

A 4,096-digit prime arranged in a 64 × 64 square using the digits 1, 4, 5, 7, and 8.

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A walrus rendered using coloured digits of a 2500-digit prime

Science Walrus Prime

A 2,500-digit prime arranged as a walrus.

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The WRDSB logo rendered using coloured digits of a 1967-digit prime

WRDSB Prime

A 1,967-digit prime arranged as the Waterloo Region District School Board logo.

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Proth Primes

Prime numbers of the form k × 2n + 1.

7,013-digit Proth prime19 × 223290 + 1TXT 3,581-digit Proth prime19 × 211890 + 1TXT 3,331-digit Proth prime641 × 211053 + 1TXT 1,287-digit Proth prime641 × 24263 + 1TXT 378-digit Proth prime19 × 21246 + 1TXT

Pattern Primes

Repeating Digits or Patterns, and primes with no 7s

777-digit prime without 7A large prime containing no occurrence of the digit 7.TXT 1,000-digit 123456789-primeConstructed from the repeating sequence 123456789.TXT 960-digit repeating-fives primeA sequence of 5s ending in 7.TXT 2,403-digit repeating-sixes primeA sequence of 6s ending in 7.TXT Eight Billion People PrimeAn 8,000-digit prime showing the words "8 Billion People".TXT

Additional Large Primes

Further prime-number records from the collection.

2,993-digit prime29941 - 1TXT