mersenne.frink

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// Program to calculate the value of the largest known Mersenne prime.


// p = 13_466_917
// p = 20_996_011   // Largest known as of Nov. 2003
// p = 25_964_951   // Largest known as of Feb. 2005.
// p = 30_402_457   // Largest known as of Dec. 2005.
// p = 32_582_657   // Largest as of September 2006
// p = 37_156_667   // Found in September 2008
// p = 43_112_609   // Also found (slightly earlier! in September 2008)
// p = 57_885_161
// p = 74_207_281   // Found in January 2016
// p = 77_232_917   // Found in December 2017
p = 82_589_933      // Found in December 2018

start = now[]
m=2^p
end = now[]
println["Time to perform exponent: " + format[end-start, "s", 3]]

start = now[]
mp = m - 1
end = now[]

println["Time to perform subtraction: " + format[end-start, "s", 3] + "\n"]
println["2^" + p + " - 1 =\n"]


start = now[]
out = newToString[mp]   // Get string representation
end = now[]

//println[out]

println["Time to format (w/Frink optimizations): " + format[end-start, "s", 3] + "\n"]
println["Length is " + length[out] + " decimal digits."]

start = now[]
mp2 = parseInt[out]
end = now[]

if mp2 != mp
   println["***** ROUND-TRIP ERROR ******"]

println["Time to parse (w/Frink optimizations): " + format[end-start, "s", 3] + "\n"]


start = now[]
out = oldToString[mp]   // Get string representation
end = now[]

//println[out]

println["Time to format (native): " + format[end-start, "s", 3] + "\n"]

start = now[]
out = "$mp"   // Get string representation using automatically-selected algo.
end = now[]

//println[out]

println["Time to format (w/automatic algorithm): " + format[end-start, "s", 3] + "\n"]

start = now[]
mp3 = newJava["java.math.BigInteger", [out]]
end = now[]

//println[out]

println["Time to parse (native): " + format[end-start, "s", 3] + "\n"]
if mp3 != mp
   println["***** ROUND-TRIP ERROR ******"]


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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 was born 19944 days, 22 hours, 36 minutes ago.