Question about A111870 (submitted by njas)

[Tautócrona]

Hi:

A111870 says:

"Prime gaps of increasing merit"

As I understand it, the sequence refers to "Smallest prime p such that its following gap 
has bigger merit than the other primes smaller than p."

If that is the case, then it has an error. The sequence starts:

2, 3, 7, 113, 1129, 1327, 19609, 31397, 155921, 360653, 370261, 1357201, 4652353, 
2010733...

but you can see that 4652353 > 2010733, so in any case it should be listed after , not 
before it. But above that, its merit is 10.03 < 10.20, the merit of 2010733, so it's not 
in a mistaken position: it shouldn't appear on the sequence.

Is this correct?

Jose