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Was vaccinating vulnerable people first a good choice? Hindsight allows us to assess this question.

A game you're almost certain to lose...

What are the challenges of communicating from the frontiers of mathematical research, and why should we be doing it?

Celebrate Pi Day with the stars of our podcast,

*Maths on the move*!Maths meets politics as early career mathematicians present their work at the Houses of Parliament.

As you appear to be unaware of the fact, there are infinitely, infinitely many cubic quadruples

the smallest of which is 6^3 = 5^3 + 4^3 + 3^3 for the positive series and 9^3 = 8^3 + 6^3 - 1^3

for the negative series.

There are infinitely many quartic quadruples.

An 'interesting' trio of quadruples is:

[1] 159^4 = 158^4 + 59^4 + 1952^2

[2] 159^4 = 134^4 + 133^4 + 1952^2

[3] 158^4 = 134^4 + 133^4 - 59^4

If a Fermat triple existed it would mean that a trio of quadruples, 2 positive

and 1 negative and of the same power would also exist but the structure

of their interrelationship would be marginally different.

The 3 quadruples reduce to 3 Pythagorean quadruples.