3847

3851

3^4 + 31^2 + 53^2

3853

3863

3^2 + 3^6 + 5^5

3877

3881

3^6 + 7^3 + 53^2

3889

3907

2^11 + 3^6 + 17^2 + 29^2

3911

3917

3^7 + 19^2 + 37^2

3919

3923

3^4 + 19^2 + 59^2

3929 = (83^1) + (61^2) + (5^3)

3931

Hi, sailor! (twin prime)

2^11 + 3^6 + 5^4 + 23^2

3943

3947

3^6 + 37^2 + 43^2

3967 = (61^2) + (11^2) + (5^3)

3989

3^7 + 29^2 + 31^2

Real prime desert here, skipping 20 or more between instances. Something tells me the next few primes will be a lot closer together...

4001

4003

Hi, sailor!

5^3 + 13^3 + 41^2

4007

4013

3^5 + 31^2 + 53^2

4019 = (61^2) + (17^2) + (3^2)

4021

4021 = (61^2) + (17^2) + (11^1)

or rather
4027 = (59^2) + (23^2) + (17^1)

4049

4051

Hi, sailor!

2^11 + 3^2 + 5^4 + 37^2

4057

Really, really, never thought this game idea of mine would ever catch on. It was a pitched idea of someone else given as a joke but I thought I'd start it anyway to be funny. Haha.

4073

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