Created
December 17, 2020 19:04
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Alternate Series of Fibonacci & Prime Numbers
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| ''' | |
| Series of Fibonacci and Prime numbers arranged alternatively | |
| Fibo: 1,1,2,3,5... | |
| Prime: 2,3,5,7,5... | |
| Merged Series: 1, 2, 1, 3, 2, 5, 3, 7, 5, 11, 8, 13, 13, 17......... | |
| ''' | |
| import math | |
| def next_Fib(last, secLast): | |
| return last+secLast | |
| def next_Prime(last): | |
| last=last+1 | |
| while(True): | |
| if isPrime(last): | |
| return last | |
| else: | |
| last+=1 | |
| def isPrime(n): | |
| if(n <= 3): | |
| return True | |
| if(n % 2 == 0 or n % 3 == 0): | |
| return False | |
| i = 5 | |
| while(i * i <= n) : | |
| if (n % i == 0 or n % (i + 2) == 0) : | |
| return False | |
| i = i + 6 | |
| return True | |
| IN = int(input("Enter the number of elements you want: ")) | |
| #IN = 14 | |
| series = [1,2,1] | |
| for i in range(3,IN): | |
| if i%2==0: | |
| series.append(next_Fib(series[i-2], series[i-4])) | |
| else: | |
| series.append(next_Prime(series[i-2])) | |
| print(*series) |
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