2019 Coding Challenge

miroslavkures · 2018-12-27, 07:47

The number 2019 is the least number having six different representations as a sum of three squares of prime numbers.
2019 = 23^2+23^2+31^2
2019 = 17^2+19^2+37^2
2019 = 11^2+23^2+37^2
2019 = 13^2+13^2+41^2
2019 = 7^2+17^2+41^2
2019 = 7^2+11^2+43^2
The coding challenge:
Find other numbers with this property. That is, having six different representations as above, not seven or more. Say, up to 10^9. Happy New Year.

axn · 2018-12-27, 08:28

There are a lot of them.

Code:

There are 10744 under 10^8.

miroslavkures · 2018-12-27, 08:59

Wow, you were very fast. And the result is a little surprising to me. But it is sometimes the case.

2018-12-27, 07:47	#1
miroslavkures Sep 2018 2·3 Posts	2019 Coding Challenge The number 2019 is the least number having six different representations as a sum of three squares of prime numbers. 2019 = 23^2+23^2+31^2 2019 = 17^2+19^2+37^2 2019 = 11^2+23^2+37^2 2019 = 13^2+13^2+41^2 2019 = 7^2+17^2+41^2 2019 = 7^2+11^2+43^2 The coding challenge: Find other numbers with this property. That is, having six different representations as above, not seven or more. Say, up to 10^9. Happy New Year.

2018-12-27, 08:28	#2
axn Jun 2003 1010100111110₂ Posts	There are a lot of them. Code: 2091 2499 3099 3219 3339 3579 3939 4011 4131 4179 4611 ... There are 10744 under 10^8.

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2018-12-27, 08:59	#3
miroslavkures Sep 2018 2×3 Posts	Wow, you were very fast. And the result is a little surprising to me. But it is sometimes the case.