A123388 Prime numbers with exactly four partitions into a square and cube.

65537, 93241, 191969, 1486873, 1632457, 1800361, 1837097, 2365289, 3516137, 3543193, 4118201, 5695777, 6002641, 8704601, 9620297, 10098721, 10990169, 11016953, 12131297, 15222257, 18426313, 18630361, 19880857, 20381761

Offset

1,1

Links

Table of n, a(n) for n=1..24.

Formula

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

Example

{ p {a1,b1}..{a4,b4} }
{65537,{122,37},{219,26},{255,8},{256,1}}
{93241,{46,45},{171,40},{267,28},{305,6}}
{191969,{399,32},{435,14},{437,10},{438,5}}
{1486873,{73,114},{438,109},{1153,54},{1215,22}}
{1632457,{477,112},{910,93},{1239,46},{1277,12}}
{1800361,{269,120},{998,93},{1188,73},{1305,46}}
{1837097,{256,121},{1075,88},{1319,46},{1335,38}}
{2365289,{642,125},{1017,110},{1517,40},{1530,29}}

Crossrefs

Sequence in context: A255323 A351314 A051332 * A070816 A133864 A017695

Adjacent sequences: A123385 A123386 A123387 * A123389 A123390 A123391

Keyword

nonn

Author

Zak Seidov, Oct 13 2006, Oct 15 2006

Status

approved