PRP in base 59 and 61
For B^4096+(B+1)^4096, I found hitherto:
311^4096+312^4096, discoverer Henri Lifchitz
2741^4096+2742^4096, discoverer Henri Lifchitz
3582^4096+3583^4096, discoverer Henri Lifchitz
...
98191^4096+98192^4096, discoverer Robert Smith
111483^4096+111484^4096
To be completed...