• Introduction
  • Introduction
  • Disclaimer
  • Version control
• Double primorial sieve
  • PDF: The (double) Primorial sieve
  • Definition of the primorial
  • Third Primorial Sieve
  • Wheel factorization size 30
  • Last digit gap of successive primes
• Numeral systems
  • PDF: Base 10^m   numeral system
• Prime spirals
  • Ulam spiral unraveled
    • PDF: The Ulam spiral unraveled
    • PDF: Prime patterns in the Ulam spiral
    • Using a Cartesian coordinate system
    • The eight families of functions
    • Exclusion lines definition
    • Exclusion lines in the Ulam spiral
    • Coordinates of natural numbers
    • Tracking the 59th SE diagonal
    • Tracking the 41th SW diagonal
    • Ulam spiral functions (mod 210)
    • Building a spiral
  • Segmented prime spirals
    • PDF: Segmented prime spirals
    • PDF: Modulo primality test
    • Prime spiral with four segments
    • Prime spiral with three segments
    • Prime spiral with two segments
    • Prime spiral with one segment
    • Analyzing segmented prime spirals
    • Prime spiral with more segments
• Miscellaneous
  • PDF: Guestbook
  • PDF: Prime number projects for students
  • Q1 spiral  in coordinate system
  • Prime pyramid  in coordinate system
  • TXT: Prime number list < 800,000
  • Links

The Ulam spiral is a prime spiral with  four  segments. The prime spiral with just  one  segment is analyzed to better understand the difference in density of prime numbers along horizontal, vertical and diagonal lines in the Ulam spiral.

The full description is found in the document   Analyzing segmented prime spirals.pdf.  



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