Question

2,3,5,7,11,13,?
1) 15
2) 17
3) 19
4) 12
by process ...
​

Answer 1

Step-by-step explanation:

2,3,5,7,11,13,_17_

Because it is in the order of Prime Numbers

Answer 2

Step-by-step explanation:

All the numbers used are from the set of prime numbers :

[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37,….]

Given the operations:

2 + 7 = 17 {prime number 1 + prime number 4 = prime number 7}

3 + 11 = 19 {prime number 2 + prime number 5 = prime number 8 }

The plus (+) sign here is not the addition operator as we know it. The operations should be seen as a function operating over the set of prime numbers, taking the nth and (n+3)th prime numbers as inputs and giving the (n+6)th prime number as the output.

So, in this scheme,

5 + 13 = 23 {prime number 3 + prime number (3+3 ) = prime number (3+6) },

or

5 + 13 = 23 {prime number 3 + prime number 6 = prime number 9 }.

The next operation would be:

{prime number 4 + prime number (4+3 ) = prime number (4+6) }

= {prime number 4 + prime number 7 = prime number 10 }

which is:

7 + 17 = 29.

Here is a Python (2.7) illustration:

• print "If 2 + 7 = 17, 3 + 11 = 19, what is 5 + 13?"
• print ""
• def prime(n): # Function to determine if number,n is prime.
• flag = True
• for j in range(2,n+1):
• if (n % j ==0 and j<>n): # n is composite (not prime).
• flag = False
• return flag
• else:
• if n ==j: # all possible divisors checked. Number,n is prime.
• return flag
• def primeplus(n): # Function "adds" prime(n) and prime(n+3) to give prime(n+6).
• a = setofprimes[n]
• b = setofprimes[n+3]
• c = setofprimes[n+6]
• print a,"+",b,"=",c
• setofprimes = []
• for n in range(1,100):
• if prime(n):
• setofprimes += [n] # Create a list of prime numbers
• print "Here are the answers for the first 10 operations in this scheme:"
• print ""
• for k in range(10):
• primeplus(k)

Here is the output:

If 2 + 7 = 17, 3 + 11 = 19, what is 5 + 13?

Here are the answers for the first 10 operations in this scheme:

2 + 7 = 17

3 + 11 = 19

5 + 13 = 23

7 + 17 = 29

11 + 19 = 31

13 + 23 = 37

17 + 29 = 41

19 + 31 = 43

23 + 37 = 47

29 + 41 = 53

>>>

Good luck!

MARK AS BRAINLIEST...