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How many prime numbers from 11 to 100 are there whose digits when interchanged give a prime number?
There are four pair of mirror primes.
How many two-digit primes have the sum of the digits equal to 8?
Three of them.
What is a symmetric prime?
18713, 18719, 18731, 18743, 18749 18731 is the center of the 5 primes. Notice that the distance from it to each on the the left and right is the same. Now do you see what a symmetrical primes is?
Which prime numbers are greater than 100?
There are an infinite number of primes greater than any number given.
What are permutation primes?
Permutation primes are primes that have digits that can be rearranged with every possible rearrangement being a prime. Some examples of permutation prime sets are {13, 31}, {17, 71}, {79, 97}, {113, 131, 311}, and {337, 373, 733}.
How many prime numbers from 11 to 100 are there whose digits when interchanged give a prime number?
There are four pair of mirror primes.
Are there any palindromic primes with an even number of digits greater than 11?
No, 11 is the only palindromic prime with an even number of digits.
What is the sum of all the two digit primes that are greater than 12 but less than 99 and are still prime when their two digits are interchanged?
Oh, dude, you want me to do math now? Fine, fine. So, the two-digit primes that are greater than 12 but less than 99 and still prime when you swap their digits are 13, 17, 31, 37, 71, 73, 79, and 97. Add them up and you get 398. Math is fun, right?
What is the longest number string that only consists of prime numbers?
The longest string of consecutive numbers that are primes is two digits long, consisting of 2 and 3 only. There are no other consecutive numbers that are primes because no even numbers greater than 2 are primes.
What are the largest three digit prime number whose digits are all primes?
The largest three digit prime number whose digits are all primes is 773.
Which the largest 3 digit prime number whose digits all primes?
The largest 3 digit number whose digits are all primes is 777. The largest 3 digit number with different prime digits is 753.
How many two-digit primes have the sum of the digits equal to 8?
Three of them.
Largest three digit prime number whose digits are all primes?
How about: 773
What do you call numbers greater than 1 that are not primes?
Composite
What is a symmetric prime?
18713, 18719, 18731, 18743, 18749 18731 is the center of the 5 primes. Notice that the distance from it to each on the the left and right is the same. Now do you see what a symmetrical primes is?
How many primes are there?
A boatloadThere are in infinite number or primes, and they are still being discovered. The people who discover the prime that has more than 10 million digits will win $100,000. I'm pretty sure they're getting close, something like 9.8 million digits.
Prove that if every even natural number greater than 2 is the sum of two primes then every odd natural number greater than 5 is the sum of three primes?
Given an arbitrary odd natural number greater than five, x, let y = x - 3, then y is an even number greater than 2. By assumption we have that y is the sum of two primes, say y1 and y2, but then x = y1 + y2 + 3 (which is the sum of three primes).
