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June 24th, 2006: Under 'Further results' it states: "To verify this, as of 2006 still unresolved, problem a stronger result such as Cramér's conjecture would be needed." Shouldn't this be rewritten? I think there's an error in the buildup of the sentence.

[edit] Prime gaps that are they prime numbers themselves

Is there any prime kind described as such? Or such description would be impossible? What would be a required alteration (dvision by, subtraction of, subtraction of and division by, reduction to 2nd, 3rd, n root, etc.) to get a prime from any known prime gap chosen?

Well, 2 is the only even prime, so all prime gaps are even, and therefore they can only be prime themselves in the case that the gap is 2. However, if you divide the gaps by 2 some of them will be prime. 84.70.102.3 01:56, 17 February 2007 (UTC)

[edit] Table of maximal gaps

The table with heading "Length range" has been inserted and removed several times. It originates from [1] (the full table is in the source). It was properly explained there but somebody redirected Prime desert to this article and copied the table without explanation. It's actually a table of maximal gaps (defined in this article), but the table doesn't say so, and it ends a gap at the composites (with odd length) instead of the primes (with even length). I find the table in its current form inappropriate for Prime gap, but a properly defined table of maximal gaps (listing primes and even lengths) would be fine by me. My own site has such a table at [2]. It's also at the Prime Pages [3] (uses odd gap lengths). Should this article have a table of maximal gaps? If so, should it list all 72 known gaps or only some of them? PrimeHunter 01:27, 21 October 2006 (UTC)

Today I added a table of the 72 known maximal gaps with 3 per line to reduce the table length. It lists g_n and p_n, but not p_n+1 (which is p_n+g_n) or n (which is not listed by any reference). PrimeHunter 02:58, 6 November 2006 (UTC)