My question is related to this [article by Oliver and Soundararajan](https://arxiv.org/abs/1603.03720) (article about a bias in the distribution of the last digits of consecutive prime numbers).

After trying some python experimental researches on the prime gaps, I notice a bias in the gaps around each last digits {1,3,7,9}.

Could this bias be intrinsically linked to the bias found in the distribution of the last digits of consecutive prime numbers?


Experimental results
---

Here some experimental plot results up to the 3,500,000th prime number:

 - *Cumulative/average prime gaps **after** last digits:*
[![Cumulative/average prime gaps **after** last digits][1]][1] + [*Cumulative/average prime gaps **before** last digits*][2]

***
 - *Cumulative/average prime gaps **before + after** last digits*
[![Cumulative/average prime gaps **before + after** last digits][3]][3]

***
 - *Cumulative/occurence of **gaps size of 10** after last digits*
[![Cumulative/occurence of gaps size of 10 after last digits][4]][4]
 - [*Animated cumulative/occurence per incremented gap sizes after last digits*][5]

***
 - *Additional research on a waveform script of the sieve of Ératosthène, colored by last digits:* 
[![plot 1][6]][6] + [plot 2][7]

The script is on [colab.research and is ready to fork][8]


  [1]: https://i.sstatic.net/TcPWE.png
  [2]: https://i.sstatic.net/sKCAB.png
  [3]: https://i.sstatic.net/kCRox.png
  [4]: https://i.sstatic.net/seCKb.png
  [5]: https://youtu.be/PtVsaf7j46g
  [6]: https://i.sstatic.net/3ccI6.jpg
  [7]: https://i.sstatic.net/jNQ9p.jpg
  [8]: https://colab.research.google.com/drive/1Tz1sgg7QtDfvZaLCpRE2fMcDvTvD_U43