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Puzzle 817. 2016 and prime numbers
I have found some curio expressions for 2016 in the web.
Three very interesting have been published by Claudio Meller in one of his pages. Here are them:
2016 = 2^5 + 2^6 + 2^7 + 2^8 +2^9 + 2^10
2016 = 666 + 666 + 666 + (6 + 6 + 6)
(aaaa-aa)*aa
__________ - a - a
a+a
2016 = _________________ valid if a is any of {0,1,2, ...,9}
a + a + a
By my own I have found two more:
2016 = T(63) = 63*64/2
2016 = 3^3 + 4^3 + 5^3 + 6^3 + 7^3 + 8^3 + 9^3
But I have not find any interesting expression using only prime numbers, except the very-ugly/non-interesting following expression:
2016 = 71 + 73 + ... +151 +157 (18 consecutive prime numbers)
Q Send your best interesting expressions using only prime numbers?