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// Program to test for prime numbers following a pattern
// mentioned by John Olsen.
//
// This tests n-bit primes of the form:
// 1101 1111 1111 1111 1111 1111
// 1111 1111 0111 1111 1111 1111
// 1111 1111 1101 1111 1111 1111
// 1111 1111 1111 1011 1111 1111
// 1111 1111 1111 1111 1101 1111
// 1111 1111 1111 1111 1110 1111
// 1111 1111 1111 1111 1111 1101
// where bits are successively zeroed, and counts the number
// of primes found for each bit-length.
for bits = 3 to 1000
{
numPrimes = 0
base = 2^bits - 1
for clearBit = 1 to bits-2
{
num = base - 2^clearBit
p = isPrime[num]
if p == true
numPrimes = numPrimes + 1
// Comment in the line below to show the actual numbers found.
// println[(num -> binary) + "\t$num\t$p"]
}
percent = format[numPrimes/(bits-2), 1., 12]
tested = bits-2
println["$bits\t$numPrimes\t$percent"]
}
Download or view primebits.frink in plain text format
This is a program written in the programming language Frink.
For more information, view the Frink
Documentation or see More Sample Frink Programs.
Alan Eliasen, eliasen@mindspring.com