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Prime numbers, Mersenne Primes, Perfect Numbers

• Prime numbers, Large Primes
• Known Mersenne primes: Decimal values & English names
• The largest known prime
  
  
• How to find a new largest known prime   <<== Try this tutorial
  
  
• The algorithm used by the Amdahl 6 is available as part of the calc distribution.
• Prime Curios! (a fun site!)
• Landon Curt Noll's table of curious numbers related to primes
• Proved that ^C5 = 2^(2127-1)-1 has no prime factor < 5 * 10⁵¹
  (announced in private correspondence with Chris K. Caldwell)

Number Theory and Name of Numbers

• Erdös' n-sequence problem
• n-clusters and the smallest 6-Cluster
• Constructing 7-clusters and the of the first and the smallest 7-Cluster
• The English name of a number
• How high can you count?

Cryptography

• The many demands on Cryptographic hash functions
• LavaRand - Seeding a pseudo-random number generator with the cryptographic hash of a digitization of a chaotic system
• ``NLC''. The Noll Lighting Cypher that turns SHA-1 (one way hash used by the Digital Standard) into a block cypher.
• ``sha(1), sha1(1), optimized cryptographic hash tools with multi-phase, prefix, inode and other enhancements by Landon Curt Noll. A source tarball as well as a directory are available. This code made it into BSDI's BSD/OS source distribution.
• ``Partial Key Escrow,'' Adi Shamir and Landon Curt Noll; a web page proposal for a more civil liberty friendly key escrow system.

Additional material

• Other mathematics may be found in my prime number pages
• Still other mathematics may be found in my papers & publications  
• The C-style arbitrary precision calculator known as calc has additional material.