Whakaoti i te (2+1)(2^{2}+1)(2^4+1)(2^8+1)(2^16+1)(2^32+1)+1

$$( 2 + 1 ) ( 2 ^ { 2 } + 1 ) ( 2 ^ { 4 } + 1 ) ( 2 ^ { 8 } + 1 ) ( 2 ^ { 16 } + 1 ) ( 2 ^ { 32 } + 1 ) + 1$$

Aromātai

$$18446744073709551616$$

Ngā Upane Otinga

Tāpirihia te 2 ki te 1, ka 3.

$$3\left(2^{2}+1\right)\left(2^{4}+1\right)\left(2^{8}+1\right)\left(2^{16}+1\right)\left(2^{32}+1\right)+1$$

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

$$3\left(4+1\right)\left(2^{4}+1\right)\left(2^{8}+1\right)\left(2^{16}+1\right)\left(2^{32}+1\right)+1$$

Tāpirihia te 4 ki te 1, ka 5.

$$3\times 5\left(2^{4}+1\right)\left(2^{8}+1\right)\left(2^{16}+1\right)\left(2^{32}+1\right)+1$$

Whakareatia te 3 ki te 5, ka 15.

$$15\left(2^{4}+1\right)\left(2^{8}+1\right)\left(2^{16}+1\right)\left(2^{32}+1\right)+1$$

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

$$15\left(16+1\right)\left(2^{8}+1\right)\left(2^{16}+1\right)\left(2^{32}+1\right)+1$$

Tāpirihia te 16 ki te 1, ka 17.

$$15\times 17\left(2^{8}+1\right)\left(2^{16}+1\right)\left(2^{32}+1\right)+1$$

Whakareatia te 15 ki te 17, ka 255.

$$255\left(2^{8}+1\right)\left(2^{16}+1\right)\left(2^{32}+1\right)+1$$

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

$$255\left(256+1\right)\left(2^{16}+1\right)\left(2^{32}+1\right)+1$$

Tāpirihia te 256 ki te 1, ka 257.

$$255\times 257\left(2^{16}+1\right)\left(2^{32}+1\right)+1$$

Whakareatia te 255 ki te 257, ka 65535.

$$65535\left(2^{16}+1\right)\left(2^{32}+1\right)+1$$

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

$$65535\left(65536+1\right)\left(2^{32}+1\right)+1$$

Tāpirihia te 65536 ki te 1, ka 65537.

$$65535\times 65537\left(2^{32}+1\right)+1$$

Whakareatia te 65535 ki te 65537, ka 4294967295.

$$4294967295\left(2^{32}+1\right)+1$$

Tātaihia te 2 mā te pū o 32, kia riro ko 4294967296.

$$4294967295\left(4294967296+1\right)+1$$

Tāpirihia te 4294967296 ki te 1, ka 4294967297.

$$4294967295\times 4294967297+1$$

Whakareatia te 4294967295 ki te 4294967297, ka 18446744073709551615.

$$18446744073709551615+1$$

Tāpirihia te 18446744073709551615 ki te 1, ka 18446744073709551616.

$$18446744073709551616$$

Tauwehe

$$2^{64}$$