Question

Prime

Answer 1

How many prime numbers p are there such that
\[\huge \color{green}{29^p+1}\]
is a multiple of p?

Answer 2

p=2 29^2+1=842 2|842
p=3 29^3+1=24390 3|8130
...........................
this method seems tiring cos the numbers are getting bigger

Answer 3

maybe we can write\[pN=29^p+1\]

Answer 4

\[N \in Z\]

Answer 5

http://blog.brilliantscholars.com/2012/09/06/eulers-theorem/