#mathematicians #ramanujan
1729 is the smallest number with 2 representations as a sum of 2 positive cubes:
1729 = 1³ + 12³ = 9³ + 10³
1729 is the smallest number with 2 representations as a sum of 2 positive cubes:
1729 = 1³ + 12³ = 9³ + 10³
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23456789 is the largest prime number with consecutive increasing digits
Proof:
- There are only ten digits.
- In consecutive order, zero has to go first, so doesn't count.
- 123456789 is the first and longest candidate, but it isn't prime.
- 23456789 is the next longest candidate, and it's prime, so it wins!
(All other strings have fewer digits).
#primenumbers
Proof:
- In consecutive order, zero has to go first, so doesn't count.
- 123456789 is the first and longest candidate, but it isn't prime.
- 23456789 is the next longest candidate, and it's prime, so it wins!
(All other strings have fewer digits).
#primenumbers
👍12
Forwarded from Mathematics Channel
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