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Primes that are the sum of at most four nonzero 4th powers.
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%I #8 May 11 2024 15:38:51

%S 2,3,17,19,83,97,113,163,179,257,337,353,419,499,593,641,643,673,769,

%T 787,881,883,1153,1297,1409,1459,1553,1889,2003,2083,2131,2417,2579,

%U 2593,2609,2657,2659,2689,2819,3169,3217,3697,3779,3889,3907,4099,4129,4177

%N Primes that are the sum of at most four nonzero 4th powers.

%C This sequence was checked by _T. D. Noe_, who had supplied the b-list for A004833. A037896 is a subset of {Primes that are the sum of at exactly 2 nonzero 4th powers}, itself a subset of A002645 Quartan primes: primes of the form x^4 + y^4, x>0, y>0.

%F A000040 INTERSECTION A004833. {A133740 = Primes that are the sum of at exactly 4 nonzero 4th powers} UNION {A085318 = Primes that are the sum of at exactly 3 nonzero 4th powers} UNION {A002645 = Primes that are the sum of at exactly 2 nonzero 4th powers}.

%Y Cf. A000040, A000583, A002645, A003294, A004833, A037896, A085318, A122540, A126657, A133740.

%K easy,nonn

%O 1,1

%A _Jonathan Vos Post_, Jul 18 2008

%E Missing term 353 inserted by _Georg Fischer_, May 11 2024