2011=157+163+167+173+179+181+191+193+197+199+211=661+673+677

Answer to your question is 2081=401+409+419+421+431.

Next year that will be writable as a sum of prime number of prime numbers in a prime number of ways is

2179=71+73+79+83+89+97+101+103+107+109+113+127+131+137+139+149+151+157+163=719+727+733.

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