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Mathematics
Quick fact
The Collatz conjecture, which says that repeatedly applying 'if even, divide by 2; if odd, triple and add 1' always reaches 1, has been verified for numbers up to 2^68—but remains unproven.
Why this is interesting
You've probably seen patterns like 2, 4, 6, 8... and assumed the next number is 10. But what if a pattern works for thousands of cases, yet no one can prove it always holds?
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Subjects · study & training · careers
Choose something you are considering. FACTREE will give you a clear picture of what it contains, how its main parts connect and where it could lead.
This private catalogue connects 31 subjects, study routes and careers across six broad areas. Public Maps and learner routes remain off.
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See what programming involves, how its main areas connect, and whether you find the knowledge interesting enough to take it further.
Structuring the Programming Map…
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