2, 5, 28, 257, ?

M4maths Previous Puzzles

04 Feb 2012 What will be the next number? 2, 5, 28, 257, ?: OPtion
1) 326
2) 524
3) 543
4) 645
5) 756
6) 1025
7) 2258
8) 3126
9) 4534
10) none of these; Correct Option: 8 Best Solution (17)

Gowtham 12 years AGO

Series Deduction as follows:
2=(1^1)+1;
5=(2^2)+1;
28=(3^3)+1;
257=(4^4)+1;
3126=(5^5)+1.

Like? Yes (8) | No

arunraj 12 years AGO

Logic : N power n + 1

1 power 1 is 1 +1 =2
2 power 2 is 4 +1 =5
3 power 3 is 27 +1 =28
4 power 4 is 256 +1 =257
SO next no
5 power 5 is 3125 +1 =3126

Like? Yes (4) | No

Shiv Kumar 12 years AGO

Series is N^N+1

1) 1^1+1 =2
2) 2^2+1 =5
3) 3^3+1 =28
4) 4^4+1 =257
5) 5^5+1 = 3126

Like? Yes (3) | No

Abhishek Divakar 12 years AGO

sequence is
a(n)=(n^n)+1
a(1)=(1^1)+1 = 2
a(2)=(2^2)+1 = 5
a(3)=(3^3)+1 = 28
a(4)=(4^4)+1 = 257
a(5)=(5^5)+1 = 3126

Like? Yes (3) | No

saurabh middha 12 years AGO

there is a sequence.
1^1+1,2^2+1,3^3+1,4^4+1,5^5+1,6^6+1....
1+1,4+1,27+1,256+1,3125+1,46656+1...
2,5,28,157,3126,46657....

Like? Yes (2) | No

Pratik Goyal 12 years AGO

2=1+1
5=2*2+1
28=3*3*3+1
257=4*4*4*4+1
then next is 5*5*5*5*5+1=3126

Like? Yes (2) | No

Sreenivasa Chowdary Nellore 12 years AGO

IT IS (1^1)+1, (2^2)+1, (3^3)+1, (4^4)+1

HENCE NEXT TERM SHOULD BE (5^5)+1

HENCE IT SHOULD BE 3125+1 = 3126
WISH YOU GOOD LUCK

Like? Yes (2) | No

Reck 12 years AGO

rule:n^n+1
1^1+1=2
2^2+1=5
3^3+1=28
4^4+1=257
5^5+1=3126

Like? Yes (2) | No

Veedarp 12 years AGO

(n^n)+1

Like? Yes (1) | No

laxmi prasanna 12 years AGO

1^1+1, 2^2+1,3^3+1,4^4+1,5^5+1
that is 5^5+1=3126

Like? Yes (1) | No

shailu 12 years AGO

ans is 312 bcoz series is 1pow1 +1=2,2pow2+1=5 ,3pow3+1=25 4po4+1=257, 5pow5+1=3126

Like? Yes (1) | No

vetri 12 years AGO

(1^2) + 1 = 2
(2^2) + 2 = 5
(3^3) + 3 = 28
(4^4) + 4 = 257
so
(5^5) + 5 = 3126

Like? Yes (1) | No

ashokkumar 12 years AGO

2=1^1+1=1+1=2
5=2^2+1=4+1=5
28=3^3+1=27+1=28
257=4^4+1=256+1=257
3126=5^5+1=3125+1=3126

Like? Yes (1) | No

Subhankar Mondal 12 years AGO

1^3+1=2,2^2+1=5,3^3+1=28,4^4+1=257,5^5+1=3126

Like? Yes (1) | No

Arunanand T A 12 years AGO

1^1+1
2^2+1
3^3+1
==> 4^4+1

Like? Yes (1) | No (1)

sudeep kumar 12 years AGO

2 = 1 power 1 + 1,
5 = 2 power 2 + 1,
28 = 3 power 3 + 1,
257 = 4 power 4 + 1,
so,
3126 = 5 power 5 +1.

Like? Yes (1) | No (1)

Balakumaran N.A 12 years AGO

A SierpiÅ„ski number of the first kind is a number of the form . The first few are 2, 5, 28, 257, 3126, 46657, 823544, 16777217, ... Sn=n^n+1..

Like? Yes (1) | No (2)

Dimple

India

Punjab

Time: 00:01:33

Points

Maths Quotes

Don't learn Mathematics just to prove that you are not a mentaly simple person but learn it to prove that you are enough intelligent

The difference between a two-digit number and the number obtained by interchanging the digits is 36. What is the difference between the sum and the difference of the digits of the number if the ratio between the digits of the number is 1 : 2 ?

frank

Placed User Comments

M4Math helped me a lot.

Vipul Chavan 3 years ago

Thanks m4 maths for helping to get placed in several companies.
I must recommend this website for placement preparations.

yash mittal 4 years ago

2, 5, 28, 257, ?

M4maths Previous Puzzles

04 Feb 2012 What will be the next number?

2, 5, 28, 257, ?

OPtion

Sponsored Links

Challenger of the Day

Maths Quotes

Placed User Comments

Site Links

Useful Info

Placement papers