I 've found an interesting table of numbers in an old issue of JMR, dedicated to astounding trivia regarding primes.

Erasing all the digits in the table's footnotes I got a challenging, albeit solvable puzzle:

The XX consecutive primes from X to XX sum up to the prime number XXX.

Also when arranged in groups of three, each group sums up to a prime number.

Furthermore, those partial sums with their digits reversed, also sum up to the same sum as before the reversal!

Try to reconstruct the trivia : both the table and the text.

(In reply to

update by Daniel)

Daniel,

Apparently, all your solutions are valid. It looks like the existence of such a huge quantity was not known prior to your research.

**For me it was a genuine surprise.**

The table in the article - which was the base for my riddle- was your solution #1, i.e.the sequence as is, subsets of 3 arranged in ascending order.

If you are interested to view the source or to communicate with the researcher- it will be my pleasure to Email the details to you.

**BTW, when you get the final results please post them.**

Is there any partition in which all the reversed sums are prime?

If not , can you analytically prove (maybe by pigeon principle) that it

is impossible?