Inspired by Danish Ahmed

Number Theory Level 2

The number 6805 6805 can be written as m + n m+n where m m and n n are prime numbers.

What is the value of m × n m \times n ??????


The answer is 13606.

Vaibhav Prasad by Vaibhav Prasad , 21, India

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2 solutions

Sum of two odd number is always even.Which means it 6805 should be the sum a odd number and a even number . It is given that both m & n are prime . Only prime number which is even is 2 therefore one of the value of M or N should be 2.
So the values of M and N are 2 & 6803 HENCE THE ANSWER IS 13606.

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Tu Delhi chal rha hai na ???

Vaibhav Prasad - 6 years, 2 months ago

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Tum log Delhi SMTE ke liye jaa rahe ho kya?? @Vaibhav Prasad

Harsh Shrivastava - 6 years, 2 months ago

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Yup . @Harsh Shrivastava

Vaibhav Prasad - 6 years, 2 months ago

CORRECT ! \text {CORRECT !}

Vaibhav Prasad - 6 years, 2 months ago
Brock Brown
Mar 17, 2015

Python 2.7: 

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def prime(n):
    if n <= 1:
        return False
    if n == 2:
        return True
    for test in xrange(2,n/2):
        if n % test == 0:
            return False
    return True
primes = []
for i in xrange(1,6805):
    if prime(i):
        primes.append(i)
for m in primes:
    for n in primes:
        if m + n == 6805:
            print "Answer:", m*n

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