Prime Numbers
Consider a digital clock. The first time after midnight when the three digits are all prime numbers is 2:22 am. What is the last time before 10:00 am when the three digits on the clock are all prime numbers?
Details and assumptions
If your answer is 1:23 am, type it in as 123.
by
Arron Kau
John and Amy have the mathematical conversation above. How old is Amy?
by
Eli Ross
The sum of three primes is 100. One of them exceeds the other by 36. Find the largest prime.
by
Manish Mayank
\[345!+2 , \ \ 345!+3 , \ \ 345!+4,\ \ \ldots \ \ ,\ \ 345!+345\]
Find the number of primes among the numbers above.
by
Vaibhav Prasad
If a prime \(p\) can be expressed as the difference of square of two positive integers, then find the remainder, when \(p^{2}+138\) is divided by \(4\).
by
Souhardya Sengupta