Created
June 22, 2020 17:57
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primes with ulam spiral corner limit
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def init = System.currentTimeMillis() | |
for(N = 9; N < 530; N+=2) { | |
println "${N} -> ${isOddCompositeNumber(N) ? '' : '__prime__'}" | |
} | |
def isOddCompositeNumber(double N) { | |
def U = Math.floor(Math.sqrt((N - 1 + Math.floor(Math.sqrt(N - 4) + 1)) / 4) - 1) | |
def t = false; | |
for(i = 0; i <= U; i++) { | |
def B = (i * 4) + 6; | |
def Q = (N / B) % 0.5; | |
t = Q == 0 | |
if(t) { | |
break | |
} | |
} | |
return t; | |
} | |
def end = System.currentTimeMillis() | |
println "T: ${(end - init) / 1000}s" | |
/* | |
for(x = 2; x < 10000; x++) { | |
//4x2 - 2x + 1 | |
def a = 4 | |
def b = - 2 | |
def c = 1 | |
def y = a * Math.pow(x, 2) + b * x + c | |
assert y - c == a * Math.pow(x, 2) + b * x | |
assert y - c == (a * Math.pow(x, 2) + b * x) | |
assert y - c == x * ((a * x) + b) | |
assert y - c == x * ((a * x) + b) | |
def p1 = Math.sqrt((y - 1 + Math.floor(Math.sqrt(y - 4) + 1)) / 4) | |
def p2 = x | |
assert p1 == p2 | |
//println " *** ${p1} == ${p2} ?? ${p1 - p2}" | |
println "${y} -> [${x}]" | |
} | |
/**/ |
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