Supriya Mondal   10 years AGO

Here, the numbers are addition of two consecutive prime number's square.
1st term=2^2+3^2=13
2nd term=3^2+5^2=34
3rd term=5^2+7^2=74
4th term=7^2+11^2=170
5th term=11^2+13^2=290
So, next term will be=13^2+17^2=458
So, option 4)458 is the right answer

Like? Yes (12) | No (1)  

Santhoshkumar   10 years AGO

Prime number square,
2^2+3^3=13
5^2+3^2=34
7^2+5^2=74
11^2+7^2=170
13^2+11^2=290
17^2+13^2=458

Like? Yes (6) | No   

RAKESH   10 years AGO

2^2 + 3^2 = 13
3^2 + 5^2 = 34
5^2 + 7^2 = 74
7^2 + 11^2 = 170
11^2 + 13^2 = 290
13^2 + 17^2 = 458

Like? Yes (4) | No   

Surit Datta   10 years AGO

2^2 + 3^2 = 13
3^2 + 5^2 = 34
5^2 + 7^2 = 74
7^2 + 11^2 = 170
11^2 + 13^2 = 290
13^2 + 17^2 = 458
the series is summation of two consecutive prime number
starting from 2
so option 4
that's it.

Like? Yes (2) | No   

JANARTHANAN RAM   10 years AGO

prime no^2+(next prime no^2)
2^2+3^2=13;
3^2+5^2=34;
'..
..
13^2+17^2=458

Like? Yes (2) | No   

sunilbaba    10 years AGO

s

Like? Yes (1) | No   

Chandu Reddy   10 years AGO

2^2+3^2=13,3^2+5^2=34,5^2+7^2=74,7^2+11^2=170, 11^2+13^2=290,13^2+17^2=458

Like? Yes (1) | No   

Anshul Garg   10 years AGO

13 = 4 + 9 = 2^2 + 3^2
34 = 9 + 25 = 3^2 + 5^2
74 = 25 + 49 = 5^2 + 7^2
170 = 49 + 121 = 7^2 + 11^2
290 = 121 + 169 = 11^2 + 13^2

From the above, we can conclude that the number is addition of square of lager prime number in previous and the square of next prime number.

And, Hence the next number will be 169 + 289 = 458

Like? Yes (1) | No   

Jaspalsingh Parmar   10 years AGO

Option 4 is correct

Like? Yes (1) | No   

mahi reddy   10 years AGO

2^2+3^2=13,
3^2+5^2=34,
5^2+7^2=74,
7^2+11^2=170,
11^2+13^2=290,
13^2+17^2=458

Like? Yes (1) | No   

Testing Account   10 years AGO

2*2 3*2,3*2 5*2,5*2 7*2,7*2 11*2, 11*2 13*2,13*2
17*2=458

Like? Yes (1) | No   

praveen kumar   10 years AGO

17^2+13^2

Like? Yes (1) | No   

Sravanthi   10 years AGO

2^2+3^2=13
3^2+5^2=34
sum of squres of primary numbers

Like? Yes (1) | No   

ABHINAV PUSHPAM   10 years AGO

2^2 + 3^2 = 13
3^2 + 5^2 = 34
5^2 + 7^2 = 74
7^2 + 11^2 = 170
11^2 + 13^2 = 290
13^2 + 17^2 = 458
So, option 4) is correct

Like? Yes (1) | No   

MRITUNJAY   10 years AGO

2^2+3^2=13
3^2+5^2=34
5^2+7^2=74
7^2+11^2=170
11^2+13^2=290
13^2+17^2=458

option 4.

Like? Yes (1) | No   

RAHUL KUMAR   10 years AGO

Ans is 458

2^2 + 3^2 = 13
3^2 + 5^2 = 34
5^2 + 7^2 = 74
7^2 + 11^2 = 170
11^2 + 13^2 = 290
13^2 + 17^2 = 458 .........ANS

Like? Yes (1) | No   

Abhishek Sumit   10 years AGO

2^2 + 3^2 = 13
3^2 + 5^2 = 34
5^2 + 7^2 = 74
7^2 + 11^2 = 170
11^2 + 13^2 = 290
13^2 + 17^2 = 458

Like? Yes (1) | No   

Dharmraj Sharma   10 years AGO

2^2 + 3^2 =13
3^2 + 5^2 =34
5^2 + 7^2 =74
7^2 + 11^2 =170
11^2 + 13^2=290
13^2 + 17^2=458

Like? Yes (1) | No   

Abhishek birkh   10 years AGO

2^2+3^2,3^2+5^2,5^2+7^2

Like? Yes (1) | No   

ramakrishnateja   10 years AGO

the given numbers are the sum of squares of the prime numbers. they are as follows:
13=3^2+2^2
34=5^2+3^2
74=7^2+5^2
170=11^2+7^2
290=13^2+11^2
so the next number is 458=17^2+13^2

Like? Yes (1) | No   

Subhadip Samanta   10 years AGO

2^2+3^2=13
3^2+5^2=34
5^2+7^2=74
7^2+11^2=170
11^2+13^2=290
the next prime no of 13 is 17
:The next term in the series is(13^2+17^2)=458 (option 4)

Like? Yes (1) | No   

Rabindra Prasad Modi   10 years AGO

sum of two consecutive prime numbers everytime

Like? Yes (1) | No   

jaganmohan rao .pola   10 years AGO

prime numbers: 2,3,5,7,11,13,17,...............

2^2+3^2 = 13
3^2+5^2 = 34
5^2+7^2 = 74
7^2+11^2 = 170
11^2+13^2 = 290
13^2+17^2 = 458

Ans:458

Like? Yes (1) | No   

KUMAR HARSH   10 years AGO

because all are the addition of two squared number like
2^2+3^2=13
3^2+5^2=34
5^2+7^2=74
7^2+11^2=170
11^2+13^2=290
so next is by option 13^2+17^2=458

Like? Yes (1) | No   

vishal kumar   10 years AGO

2^2 + 3^2 = 13
3^2 + 5^2 = 34
5^2 + 7^2 = 74
7^2 + 11^2 = 170
11^2 + 13^2 = 290
13^2 + 17^2 = 458 ....... this is the answer

Like? Yes (1) | No   

Ajinkya Kulkarni   10 years AGO

sum of squares of adjacent prime numbers

Like? Yes (1) | No   

Jitendra Prasad   10 years AGO

2^2+3^2=13
3^2+5^2=34
5^2+7^2=74
7^2+11^2=170
11^2+13^2=290
13^2+17^2=458

Like? Yes (1) | No   

ADARSH GAURAV   10 years AGO

458 is the answer

Like? Yes (1) | No   

b.subbarao   10 years AGO

2^2+3^2=13
3^2+5^2=34
5^2+7^2=74
7^2+11^2=170
11^2+13^2=290 so 13^+17^2=458

Like? Yes (1) | No   

Saurabh Soni   10 years AGO

half of the numbers nd thn subtract them..The ans is thn doubled to get d next no.

Like? Yes (1) | No   

Neha Giri   10 years AGO

Here all are two successive prime no squares addition, i.e.
13=2^2+3^2
34=3^2+4^2
74=5^2+7^2
170=7^2+11^2
290=11^2+13^2
so,next will be
13^2+17^2=458.

Like? Yes (1) | No   

Aishwariya    10 years AGO

2^2+3^2=13
3^2+5^2=34
5^2+7^2=74
7^2+11^2=170
11^2+13^2=290
13^2+17^2=458

Like? Yes (1) | No   

A M ANKIT KALLURAYA   10 years AGO

each number is the sum of square of prime numbers.
2^2+3^2=13
3^2+5^2=34
5^2+7^2=74
7^2+11^2=170
11^2+13^2=290
13^2+17^2=458

Like? Yes (1) | No   

Tark Patel   10 years AGO

-> 13 , 34 , 74 , 170 , 290

-> (2^2 + 3^2) , (3^2 + 5^2) , (5^2 + 7^2) , (7^2 + 11^2) , (11^2 + 13^2) so next will be = (13^2 + 17^2)

Like? Yes (1) | No   

pravallika   10 years AGO

3^2+2^2;5^2+3^2;7^2+5^2;11^2+7^2;13^2+11^2;17^2+13^2=13,34,74,170,290,458(sum of squares of primenumber and its preceeding prime)

Like? Yes (1) | No   

tasho k   10 years AGO

Addition of squares of consecutive prime numbers....

Square of 13 + square of 17 = 169+289=458

Like? Yes (1) | No   

sandeep kumar   10 years AGO

3^2+2^2=13

5^2+3^2=34

similarly ..

next prime no.^2+previous prime no.^2 = ANS...................



ANS = 458

Like? Yes (1) | No   

DHEERAJ KUMAR   10 years AGO

we are adding sq. of continuous two prime numbers like 2sq+3sq, 3sq+5sq, 5sq+7sq., 7sq+11sq, 11sq+13sq and finally 13sq+17sq= 458

Like? Yes (1) | No   

POOJA SINGH   10 years AGO

2^2 +3^2=13
3^2 +5^2=34
5^2 + 7^2=74
7^2+11^2=170
11^2+13^2=290
13^2+17^2=458

Like? Yes (1) | No   

arush gupta   10 years AGO

answer is 458
square and add 2 consequent prime numbers 2 3 5 7 11 13 17
2^2+3^2 =13
3^2+5^2=34
5^2+7^2=74
7^2+11^2=170
11^2+13^2=290
13^2+17^2=458

Like? Yes (1) | No   

Mohak Jain   10 years AGO

consecutive two prime nos squared and added.
eg:
2^2+3^2, 3^2+5^2,....... 17^2+13^2

Like? Yes (1) | No   

nitya   10 years AGO

2^2+3^2=13
3^2+5^2=34
5^2+7^2=74
7^2+11^2=170
11^2+13^2=290
13^2+17^2=458

Like? Yes (1) | No   

Akshat Kapoor   10 years AGO

answer is 458
square and add 2 consequent prime numbers 2 3 5 7 11 13 17
2^2+3^2 =13
3^2+5^2=34
5^2+7^2=74
7^2+11^2=170
11^2+13^2=290
13^2+17^2=458

Like? Yes (1) | No   

Paras Jain   10 years AGO

its 458..

Like? Yes (1) | No