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This commit is contained in:
Ingy döt Net 2013-04-11 01:07:29 -07:00
parent b83f433714
commit 68f8f3e56b
14735 changed files with 178959 additions and 0 deletions

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#MaxLim = 999999
Procedure is_Prime(n)
If n<=1 : ProcedureReturn #False
ElseIf n<4 : ProcedureReturn #True
ElseIf n%2=0: ProcedureReturn #False
ElseIf n<9 : ProcedureReturn #True
ElseIf n%3=0: ProcedureReturn #False
Else
Protected r=Round(Sqr(n),#PB_Round_Down)
Protected f=5
While f<=r
If n%f=0 Or n%(f+2)=0
ProcedureReturn #False
EndIf
f+6
Wend
EndIf
ProcedureReturn #True
EndProcedure
Procedure TruncateLeft(n)
Protected s.s=Str(n), l=Len(s)-1
If Not FindString(s,"0",1)
While l>0
s=Right(s,l)
If Not is_Prime(Val(s))
ProcedureReturn #False
EndIf
l-1
Wend
ProcedureReturn #True
EndIf
EndProcedure
Procedure TruncateRight(a)
Repeat
a/10
If Not a
Break
ElseIf Not is_Prime(a) Or a%10=0
ProcedureReturn #False
EndIf
ForEver
ProcedureReturn #True
EndProcedure
i=#MaxLim
Repeat
If is_Prime(i)
If Not truncateleft And TruncateLeft(i)
truncateleft=i
EndIf
If Not truncateright And TruncateRight(i)
truncateright=i
EndIf
EndIf
If truncateleft And truncateright
Break
Else
i-2
EndIf
Until i<=0
x.s="Largest TruncateLeft= "+Str(truncateleft)
y.s="Largest TruncateRight= "+Str(truncateright)
MessageRequester("Truncatable primes",x+#CRLF$+y)

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maxprime = 1000000
def primes(n):
multiples = set()
prime = []
for i in range(2, n+1):
if i not in multiples:
prime.append(i)
multiples.update(set(range(i*i, n+1, i)))
return prime
def truncatableprime(n):
'Return a longest left and right truncatable primes below n'
primelist = [str(x) for x in primes(n)[::-1]]
primeset = set(primelist)
for n in primelist:
# n = 'abc'; [n[i:] for i in range(len(n))] -> ['abc', 'bc', 'c']
alltruncs = set(n[i:] for i in range(len(n)))
if alltruncs.issubset(primeset):
truncateleft = int(n)
break
for n in primelist:
# n = 'abc'; [n[:i+1] for i in range(len(n))] -> ['a', 'ab', 'abc']
alltruncs = set([n[:i+1] for i in range(len(n))])
if alltruncs.issubset(primeset):
truncateright = int(n)
break
return truncateleft, truncateright
print(truncatableprime(maxprime))