$${ 11 }^{ 2 } + { 15 }^{ 2 } + { 19 }^{ 2 } + { 23 }^{ 2 } + { 27 }^{ 2 } + { 31 }^{ 2 } + { 35 }^{ 2 } + { 39 }^{ 2 } + { 43 }^{ 2 } + { 47 }^{ 2 }$$
$9730$
$$121+15^{2}+19^{2}+23^{2}+27^{2}+31^{2}+35^{2}+39^{2}+43^{2}+47^{2}$$
$$121+225+19^{2}+23^{2}+27^{2}+31^{2}+35^{2}+39^{2}+43^{2}+47^{2}$$
$$346+19^{2}+23^{2}+27^{2}+31^{2}+35^{2}+39^{2}+43^{2}+47^{2}$$
$$346+361+23^{2}+27^{2}+31^{2}+35^{2}+39^{2}+43^{2}+47^{2}$$
$$707+23^{2}+27^{2}+31^{2}+35^{2}+39^{2}+43^{2}+47^{2}$$
$$707+529+27^{2}+31^{2}+35^{2}+39^{2}+43^{2}+47^{2}$$
$$1236+27^{2}+31^{2}+35^{2}+39^{2}+43^{2}+47^{2}$$
$$1236+729+31^{2}+35^{2}+39^{2}+43^{2}+47^{2}$$
$$1965+31^{2}+35^{2}+39^{2}+43^{2}+47^{2}$$
$$1965+961+35^{2}+39^{2}+43^{2}+47^{2}$$
$$2926+35^{2}+39^{2}+43^{2}+47^{2}$$
$$2926+1225+39^{2}+43^{2}+47^{2}$$
$$4151+39^{2}+43^{2}+47^{2}$$
$$4151+1521+43^{2}+47^{2}$$
$$5672+43^{2}+47^{2}$$
$$5672+1849+47^{2}$$
$$7521+47^{2}$$
$$7521+2209$$
$$9730$$
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$2\times 5\times 7\times 139$
