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

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

Evalwa

$$6004800933418326$$

Passi tas-Soluzzjonijiet

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

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

Żid 4 u 1 biex tikseb 5.

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

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

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

Żid 16 u 1 biex tikseb 17.

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

Immultiplika 5 u 17 biex tikseb 85.

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

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

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

Żid 256 u 1 biex tikseb 257.

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

Immultiplika 85 u 257 biex tikseb 21845.

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

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

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

Żid 65536 u 1 biex tikseb 65537.

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

Immultiplika 21845 u 65537 biex tikseb 1431655765.

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

Ikkalkula 2 bil-power ta' 22 u tikseb 4194304.

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

Żid 4194304 u 1 biex tikseb 4194305.

$$1431655765\times 4194305+1$$

Immultiplika 1431655765 u 4194305 biex tikseb 6004800933418325.

$$6004800933418325+1$$

Żid 6004800933418325 u 1 biex tikseb 6004800933418326.

$$6004800933418326$$

Fattur

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