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pgapslen.py
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pgapslen.py
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import math
"""
prime gap symmetric ocillation observation
2-3 gaplen = 0
|
|
|
----x----
|
|
|
3-5-7 gaplen = 1
o | o
|
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----x----
|
|
o | o
o | o
o|o
o|o
o----x----o
o|o
o|o
o | o
o|o
|
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o----x----o
|
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o|o
o | o
o | o
o|o
o----x----o
o|o
o | o
o | o
"""
"""
2, 1, 2,
#0,3,0
2, 4, 2,
#2,-2,2
4, 2, 4,
#2,0,2
6, 2, 6,
#-2,0,-2
4, 2, 4,
#2,4,-2
6, 6, 2,
#0,-2,0
6, 4, 2,
#0,0,4
6, 4, 6,
#2,0,-4
8, 4, 2,
#-4,-2,2
4, 2, 4,
#10,2,2
14, 4, 6,
#-12,6,-4
2, 10, 2,
#4,-4,2
6, 6, 4,
#0,0,-2
6, 6, 2,
#4,-4,2
10, 2, 4,
#-8,10,8
2, 12, 12,
#2,-10,-8
4, 2, 4,
6, 2, 10,
6, 6, 6,
2, 6, 4,
2, 10, 14,
4, 2, 4,
14, 6, 10,
2, 4, 6,
8, 6, 6,
4, 6, 8,
4, 8, 10,
2, 10, 2,
6, 4, 6,
8, 4, 2,
4, 12, 8,
4, 8, 4,
6, 12
"""
fib = [0 for i in range(30+2)]
fib[1] = 1
for i in range(30):
fib[i+2] = fib[i+0]+fib[i+1]
print("fibs:")
print(fib)
print("")
ifib = [0 for i in range(100+3)]
ifib[102] = 20103
ifib[101] = 17688
for i in range(100):
ifib[100-i] = abs(ifib[100-i+1]-ifib[100-i+2])
print("ifibs:")
print(ifib)
print("")
pgaps = (2,1, 2, 2, 4, 2, 4, 2, 4, 6, 2, 6, 4, 2, 4, 6, 6, 2, 6, 4, 2, 6, 4, 6, 8, 4, 2, 4, 2, 4, 14, 4, 6, 2, 10, 2, 6, 6, 4, 6, 6, 2, 10, 2, 4, 2, 12, 12, 4, 2, 4, 6, 2, 10, 6, 6, 6, 2, 6, 4, 2, 10, 14, 4, 2, 4, 14, 6, 10, 2, 4, 6, 8, 6, 6, 4, 6, 8, 4, 8, 10, 2, 10, 2, 6, 4, 6, 8, 4, 2, 4, 12, 8, 4, 8, 4, 6, 12 )
print("pgaps:")
print(pgaps)
print("")
p = 2
q = 0
l = 0
m = 0
for i in pgaps:
print(i-1 ,end = " ")
if(q == fib[p]*2):
print("")
#if(l == fib[m]*2):
# p+=1
# l=0
# m+=1
p+=1
q = 0
l+=1
#p =
q+=1
print("")
print("triple diff:")
p = 1
tdiff = [0 for i in range(len(pgaps)-3)]
for i in range(len(pgaps)-3):
tdiff[i] = pgaps[i+3]-pgaps[i]
print(pgaps[i+3]-pgaps[i], end = " ")
if(p==3):
print("")
p=0
p+=1
print("")
print("tdiff:")
print(tdiff)
print("2. degree triple diff:")
p = 1
tdiff2 = [0 for i in range(len(tdiff)-3)]
for i in range(len(tdiff)-3):
tdiff2[i] = tdiff[i+3]-tdiff[i]
print((tdiff[i+3]-tdiff[i])/2, end = " ")
if(p==3):
print("")
p=0
p+=1
print("")
print("pgaps-tdiff2:")
for i in range(len(tdiff)):
if(tdiff[i]>0):
o = pgaps[i]-tdiff[i]
else:
o = pgaps[i]
print(math.log(pgaps[i],pgaps[i+1]),end = " ")