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Prime numbers with exactly four partitions into a square and cube.
3

%I #2 Mar 30 2012 17:26:22

%S 65537,93241,191969,1486873,1632457,1800361,1837097,2365289,3516137,

%T 3543193,4118201,5695777,6002641,8704601,9620297,10098721,10990169,

%U 11016953,12131297,15222257,18426313,18630361,19880857,20381761

%N Prime numbers with exactly four partitions into a square and cube.

%F p=a^2+b^3 for four different pairs {a,b}.

%e { p {a1,b1}..{a4,b4} }

%e {65537,{122,37},{219,26},{255,8},{256,1}}

%e {93241,{46,45},{171,40},{267,28},{305,6}}

%e {191969,{399,32},{435,14},{437,10},{438,5}}

%e {1486873,{73,114},{438,109},{1153,54},{1215,22}}

%e {1632457,{477,112},{910,93},{1239,46},{1277,12}}

%e {1800361,{269,120},{998,93},{1188,73},{1305,46}}

%e {1837097,{256,121},{1075,88},{1319,46},{1335,38}}

%e {2365289,{642,125},{1017,110},{1517,40},{1530,29}}

%K nonn

%O 1,1

%A _Zak Seidov_, Oct 13 2006, Oct 15 2006