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On the one hand there's all these reports of the largest prime gap between all numbers proven to be < 246. On the other hand, I read reports of ...

Usually the ratio of gn / ln(pn) is called the merit of the gap gn . As of September 2017 , the largest known prime gap with identified probable prime gap ends has length 6582144, with 216841-digit probable primes found by Martin Raab. This gap has merit M = 13.1829. The largest known prime gap with identified proven primes as gap ends has length 1113106 and merit 25.90, with 18662-digit primes found by P. Cami, M. Jansen and J. K. Andersen.

For over a century, mathematicians have understood how the primes taper off on average: Among large numbers, the expected gap between prime ...

In the following table we list the maximal gaps through 1355. These are the first occurrences of gaps of at least this length . For example, there is a gap of 879 composites after the prime. 277900416100927. This is the first occurrence of a gap of this length, but still is not a maximal gap since 905 composites follow the smaller prime.

As of September 2017, the largest known prime gap with identified probable prime gap ends has length 6582144, with 216841-digit probable primes found by Martin Raab. This gap has merit M = 13.1829. The largest known prime gap with identified proven primes as gap ends has length 1113106 and merit 25.90, with 18662-digit primes found by P. Cami, M. Jansen and J. K. Andersen.

At n = 350, p n = 2357, the primorial a = A ( n) has 1000 digits (its base 10 logarithm is about 999.375). Actually, with Pari/GP it's easy to verify that a − 4152... a + 3312 are composite and a − 4153 and a + 3313 apparently are prime, giving a prime gap of length 7465.

In the following table we list the maximal gaps through 1355. These are the first occurrences of gaps of at least this length. For example, there is a gap of 879 composites after the prime . 277900416100927. This is the first occurrence of a gap of this length, but still is not a maximal gap since 905 composites follow the smaller prime. 218209405436543.

The largest gap between successive prime numbers is unbounded. The larger the prime number, the larger the average gap between it and its successor or ...

The largest known prime gap is of length 4247, occurring following $10^{314}-1929$ (Baugh and O'Hara 1992), although this gap is almost certainly not ...

19.05.2020 · What is the largest prime gap? As of September 2017, the largest known prime gap with identified probable prime gap ends has length 6582144, with 216841-digit probable primes found by Martin Raab. This gap has merit M = 13.1829. What is a high prime number? From Wikipedia, the free encyclopedia.

The maximal prime gap G(N) is the length of the largest prime gap that begins with a prime p_k less than some maximum value N . For n=1 , 2, ..., G(10^n) ...

The largest known prime gap with identified probable prime gap ends has length 2254930, according to Hans Rosenthal and Jens Kruse Andersen. It is well known that there are arbitrarily large prime gaps.

If p is a prime, the 'prime gap' after p is the number of composites that follow it. maximal gaps are larger than those for any smaller primes p.

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The average spacing between primes approaches infinity as you travel up the number line, but in any finite list of numbers, the biggest prime ...