unfortunately the project has largely gone unnoticed and ignored for a variety of reasons.
Why is that? I know of primecoin but don't think I ever heard of this one before.
Numerous reasons, perhaps ...
Cryptocurrency in general makes some folks glaze over, let alone complex mathematics.
Most people probably don't realize (or care) that this coin does what it says on the tin (although we could still use peer review).
The original developer no longer being with us became a sticking point, although it is certainly possible to move forward.
Gapcoin was launched almost during peek altcoin season and thus interest was somewhat fleeting to other crypto's along with the hash power.
We have been delisted from exchanges without any real reason other than a lack of trading volume and development.
ICO's and scam projects have been seemingly more attractive to 'investors'. Gapcoin has seen so many other projects come and go from this space and remains incredibly resilient none the less.
In theory, as more altcoins fail, Gapcoin should eventually become acknowledged. Both as a great alternative cryptocurrency and a work of mathematical / blockchain genius.
Various universities and colleges have been seen running the Gapcoin blockchain, mainly to extrapolate results.
...
The way the Logarithmic Coin Issuance dovetails with the blockchain is actually the most impressive part, economically speaking.
It basically means that slightly more coins go into circulation with more hash power being added to the network. Which remains an incentive. Hence;
Cap: about 10  30 million GAP
Difficulty adjusts every block and increases logarithmically (it will probably take years to get to 50)

https://en.wikipedia.org/wiki/Logarithmic_spiralIn terms of monetary value each block contains both the block reward and the value of the prime gap discovered in the block. This obviously increases and decreases with the hashing power. I've been in Bitcoin on and off from the very start and Gapcoin is a very difficult concept to explain ...
Gapcoin is basically Bitcoin, with some fundamental laws of nature built in.
In terms of finding prime gaps against the network difficulty, it almost functions like a spiral or a helix ...

https://en.wikipedia.org/wiki/Helixseashell spiral ...
If we imagine the blockchain running through the centre of the spiral, increasing hashpower moves us further from the middle to discover larger prime gaps.
Also see: Gapcoin Related Topics / Further Reading;

https://en.wikipedia.org/wiki/Pi
https://en.wikipedia.org/wiki/Prime_number
https://en.wikipedia.org/wiki/Prime_gap
https://en.wikipedia.org/wiki/Fibonacci_number 21

https://en.wikipedia.org/wiki/Fibonacci_cube
https://en.wikipedia.org/wiki/Chinese_remainder_theorem
https://en.wikipedia.org/wiki/Functional_(mathematics)
https://en.wikipedia.org/wiki/Mathematical_optimization
https://en.wikipedia.org/wiki/Mathematical_constant
https://en.wikipedia.org/wiki/Complex_logarithm
https://en.wikipedia.org/wiki/Natural_logarithm
https://en.wikipedia.org/wiki/Irrational_number
https://en.wikipedia.org/wiki/Golden_ratio...
The entire design is vastly superior to both primecoin and riecoin.
It is currently unknown if any upper bounds in terms of mining for prime gaps with Gapcoin might exist, because we don't know what the largest prime gap
is ... However, fixed variables in the source code (accepted under consensus) are unlikely to cause any issues in the future with continuing to utilize Gapcoin as a cryptocurrency, in this regard. It's almost akin to the assumption that quantum computers will 'break' Bitcoin etc.,