Whakaoti i te (2^{2}+1)(2^4+1)(2^8+1)(2^16+1)(2^22+1)+1

$$( 2 ^ { 2 } + 1 ) ( 2 ^ { 4 } + 1 ) ( 2 ^ { 8 } + 1 ) ( 2 ^ { 16 } + 1 ) ( 2 ^ { 22 } + 1 ) + 1$$

Aromātai

$$6004800933418326$$

Ngā Upane Otinga

Tātaihia te 2 mā te pū o 2, kia riro ko 4.

$$\left(4+1\right)\left(2^{4}+1\right)\left(2^{8}+1\right)\left(2^{16}+1\right)\left(2^{22}+1\right)+1$$

Tāpirihia te 4 ki te 1, ka 5.

$$5\left(2^{4}+1\right)\left(2^{8}+1\right)\left(2^{16}+1\right)\left(2^{22}+1\right)+1$$

Tātaihia te 2 mā te pū o 4, kia riro ko 16.

$$5\left(16+1\right)\left(2^{8}+1\right)\left(2^{16}+1\right)\left(2^{22}+1\right)+1$$

Tāpirihia te 16 ki te 1, ka 17.

$$5\times 17\left(2^{8}+1\right)\left(2^{16}+1\right)\left(2^{22}+1\right)+1$$

Whakareatia te 5 ki te 17, ka 85.

$$85\left(2^{8}+1\right)\left(2^{16}+1\right)\left(2^{22}+1\right)+1$$

Tātaihia te 2 mā te pū o 8, kia riro ko 256.

$$85\left(256+1\right)\left(2^{16}+1\right)\left(2^{22}+1\right)+1$$

Tāpirihia te 256 ki te 1, ka 257.

$$85\times 257\left(2^{16}+1\right)\left(2^{22}+1\right)+1$$

Whakareatia te 85 ki te 257, ka 21845.

$$21845\left(2^{16}+1\right)\left(2^{22}+1\right)+1$$

Tātaihia te 2 mā te pū o 16, kia riro ko 65536.

$$21845\left(65536+1\right)\left(2^{22}+1\right)+1$$

Tāpirihia te 65536 ki te 1, ka 65537.

$$21845\times 65537\left(2^{22}+1\right)+1$$

Whakareatia te 21845 ki te 65537, ka 1431655765.

$$1431655765\left(2^{22}+1\right)+1$$

Tātaihia te 2 mā te pū o 22, kia riro ko 4194304.

$$1431655765\left(4194304+1\right)+1$$

Tāpirihia te 4194304 ki te 1, ka 4194305.

$$1431655765\times 4194305+1$$

Whakareatia te 1431655765 ki te 4194305, ka 6004800933418325.

$$6004800933418325+1$$

Tāpirihia te 6004800933418325 ki te 1, ka 6004800933418326.

$$6004800933418326$$

Tauwehe

$$2\times 3\times 13\times 683\times 3881\times 29042879$$