Issolvi (2+1)(2^{2}+1)(2^4+1)(2^8+1)(2^16+1)(2^2+1)+1

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

Evalwa

$$21474836476$$

Passi tas-Soluzzjonijiet

Immultiplika 2^{2}+1 u 2^{2}+1 biex tikseb \left(2^{2}+1\right)^{2}.

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

Żid 2 u 1 biex tikseb 3.

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

Ikkalkula 2 bil-power ta' 2 u tikseb 4.

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

Żid 4 u 1 biex tikseb 5.

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

Ikkalkula 5 bil-power ta' 2 u tikseb 25.

$$3\times 25\left(2^{4}+1\right)\left(2^{8}+1\right)\left(2^{16}+1\right)+1$$

Immultiplika 3 u 25 biex tikseb 75.

$$75\left(2^{4}+1\right)\left(2^{8}+1\right)\left(2^{16}+1\right)+1$$

Ikkalkula 2 bil-power ta' 4 u tikseb 16.

$$75\left(16+1\right)\left(2^{8}+1\right)\left(2^{16}+1\right)+1$$

Żid 16 u 1 biex tikseb 17.

$$75\times 17\left(2^{8}+1\right)\left(2^{16}+1\right)+1$$

Immultiplika 75 u 17 biex tikseb 1275.

$$1275\left(2^{8}+1\right)\left(2^{16}+1\right)+1$$

Ikkalkula 2 bil-power ta' 8 u tikseb 256.

$$1275\left(256+1\right)\left(2^{16}+1\right)+1$$

Żid 256 u 1 biex tikseb 257.

$$1275\times 257\left(2^{16}+1\right)+1$$

Immultiplika 1275 u 257 biex tikseb 327675.

$$327675\left(2^{16}+1\right)+1$$

Ikkalkula 2 bil-power ta' 16 u tikseb 65536.

$$327675\left(65536+1\right)+1$$

Żid 65536 u 1 biex tikseb 65537.

$$327675\times 65537+1$$

Immultiplika 327675 u 65537 biex tikseb 21474836475.

$$21474836475+1$$

Żid 21474836475 u 1 biex tikseb 21474836476.

$$21474836476$$

Fattur

$$2^{2}\times 479\times 11208161$$