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Mersenne prime is the largest known Prime number

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Q: What category of primes is the largest prime?
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The largest integer that is not the product of two or more different primes?

The largest integer that is not the product of two or more different primes would be the largest prime number. Because there are an infinite number of prime numbers, there is no largest integer that is not the product of two or more different 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.


Largest three digit prime number whose digits are all primes?

How about: 773


What are the largest prime factors of 770?

2 x 5 x 7 x 11 = 770. The largest primes are 7 and 11.


What is the greatest difference between 2 consecutive prime numbers?

There is no limit: gaps between successive primes can be arbitrarily large. As of 2014, the largest prime gap between proven primes is 1,113,106. The two successive primes at either end have 18662 digits each. A larger gap, of 3,311,852 numbers between probable primes has been conjectured.


What is the difference between every 2 consecutive prime numbers?

There are no fixed differences. In fact, gaps between successive primes can be arbitrarily large. As of 2014, the largest prime gap between proven primes is 1,113,106. The two successive primes at either end have 18662 digits each. A larger gap, of 3,311,852 numbers between probable primes has been conjectured.


What is the largest known mersenne prime?

There were 47 known Mersenne primes at the beginning of the 21st century, the highest being 43,112,609.


What number has the most prime factors?

Hi... Every integer can be expressed as the product of prime numbers (and these primes are it's factors). Since we can multiply any integer by 2 to create a larger integer which can also be expressed as the product of primes, and this number has more prime factors than the last, we can always get a bigger number with more prime factors. Therefore, there is no definable number with the most primes (much like there is no largest number)!


Sample c program in finding the sum of all the prime numbers?

It would be impossible to write such a program because there are an infinite number of prime numbers. Even if we limit ourselves to the "known" primes, there are currently in excess of 7.853e11,185,263 primes. However, there is no list of these known primes in existence because, weirdly, some of them are actually unknown (we know they exist we simply do not know their value). If we consider the top 10 largest known primes alone, the current largest known prime (discovered in January 2013) has 17,425,170 decimal digits. However, the second largest known prime (discovered in August 2008) only has 12,978,189 digits. Nobody knows exactly how many primes exist between these two known primes because not every value was tested. Any that were tested prior to January 2013 were obviously found to be composite numbers otherwise they would now be listed somewhere between the current 1st and 2nd largest known primes. Prime number enthusiasts are simply not interested in listing every prime; their goal is to find the largest known prime and if that means missing out some of the smaller primes along the way then so be it. However, if you examine the top 10 and look at the dates that each was discovered, you will find that we do occasionally find one of the missing primes. But unless someone actually tests every potential prime between any two largest known primes, the list will never be complete. Even if complete list of all known primes could be created, it would be impossible to even store it. The top 10 alone would require nearly 1 GB of storage if the digits were listed in full using plain ASCII text. But we're talking about just 10 numbers that have an average of 9.8 million digits each. There are roughly 7.853e11,185,263 primes less than the current largest prime and there simply isn't enough storage on the planet to cater for all that data, let alone the infinite number of primes that have yet to be discovered. Ultimately, the task in question is impossible to fulfil, so there's simply no point in even trying.


What is the largest twin number?

I assume you mean twin prime. It is currently unknown whether or not there are an infinite number of twin primes in which case there would be no largest twin prime. The largest discovered is 65516468355 · 2333333 ± 1 (so the bigger of the two is 65516468355 · 2333333 + 1).


What is a pair of twin prime?

A twin prime pair are two primes separated by 2. For example, 3 and 5 are twin primes. It is conjectured that there are an infinite number of twin primes.