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Changes for version 0.28 - 2014-11-17

  • ADDED
    • is_mersenne_prime(p) returns 1 iff 2^p-1 is prime
  • PERFORMANCE
    • is_prime will do a LLR test, as will is_provable_prime if not returning a certificate. This means many primes of the form k*2^n-1 will run faster and return 2 rather than 1.
    • Update UV SQUFOF factoring code, faster factoring once reduced in size.
    • Slightly better P-1 stage 2 performance.
    • Slightly deeper trial division in general factoring.
    • Big reduction in average depth of unfactored stack. We work on smaller composite factors first, and add repeated factors all at once. This fixes some pathological inputs such as: vecprod( map { $_*($_+2)**17 } @{twin_primes(100000,115000)} ) which has 2574 factors and would overflow the 256-element stack. With the new code it has a maximum stack depth of 3.
  • OTHER
    • is_power works with negative powers, although doesn't return root.

Modules

Utilities related to prime numbers and factoring, using GMP