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Numbers like 24, 60, and 360 are 'highly composite numbers'. Here is a GREAT video on these 'anti-prime' numbers :https://www.youtube.com/watch?v=2JM2oImb9Qg ht
by Balgair 9y ago
Numbers like 24, 60, and 360 are 'highly composite numbers'. Here is a GREAT video on these 'anti-prime' numbers :https://www.youtube.com/watch?v=2JM2oImb9Qg https://www.youtube.com/watch?v=2JM2oImb9Qg
These anti-prime numbers were studied first by Ramanujan (of course) and conditions are that:
1) The prime factors must be consecutive (2^n X 3^m not 2^n X 5^m)
2) The powers of the prime factors must be deceasing as the prime number increases (2^4 X 3^3 not 2^1 X 3^5)
3) The numbers end with the the highest prime to the highest prime (2^4 X 3^1 not 2^3 X 3^2). Except for the numbers 2 and 4.
More here: https://en.wikipedia.org/wiki/Highly_composite_number https://en.wikipedia.org/wiki/Highly_composite_number
- vram22 9y ago>These anti-prime numbers were studied first by Ramanujan https://en.wikipedia.org/wiki/Srinivasa_Ramanujan https://en.wikipedia.org/wiki/Srinivasa_Ramanujan
- Balgair 9y agoRamanujan was easily one of the greatest mathematicians in history. Full Stop. Entirely self-taught, his insights were incredibly novel and have helped human advancement immeasurably. Incredible stories about this great person abound. Sadly, he died at 32 from a curable disease, though misdiagnosed. He was deeply religious, a devout Hindu and vegetarian. His legacy is truly astonishing despite his few years. What he could have accomplished, had he lived, is a tragedy of the first order to mathematics and the human quest for truth. Here is a good biography if you are interested: https://www.amazon.com/Man-Who-Knew-Infinity-Ramanujan/dp/1476763496 https://www.amazon.com/Man-Who-Knew-Infinity-Ramanujan/dp/14...
- vram22 9y ago>Here is a good biography if you are interested: https://www.amazon.com/Man-Who-Knew-Infinity-Ramanujan/dp/14.. https://www.amazon.com/Man-Who-Knew-Infinity-Ramanujan/dp/14.... Thanks, will check it.
- rrauenza 9y agoThe movie was also enjoyable and heart wrenching... I watched it on a flight to India! https://www.imdb.com/title/tt0787524/ https://www.imdb.com/title/tt0787524/