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

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

Evalwa

$$6148914691236517206$$

Passi tas-Soluzzjonijiet

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

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

Żid 4 u 1 biex tikseb 5.

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

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

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

Żid 16 u 1 biex tikseb 17.

$$5\times 17\left(2^{8}+1\right)\left(2^{16}+1\right)\left(2^{32}+1\right)+1$$

Immultiplika 5 u 17 biex tikseb 85.

$$85\left(2^{8}+1\right)\left(2^{16}+1\right)\left(2^{32}+1\right)+1$$

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

$$85\left(256+1\right)\left(2^{16}+1\right)\left(2^{32}+1\right)+1$$

Żid 256 u 1 biex tikseb 257.

$$85\times 257\left(2^{16}+1\right)\left(2^{32}+1\right)+1$$

Immultiplika 85 u 257 biex tikseb 21845.

$$21845\left(2^{16}+1\right)\left(2^{32}+1\right)+1$$

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

$$21845\left(65536+1\right)\left(2^{32}+1\right)+1$$

Żid 65536 u 1 biex tikseb 65537.

$$21845\times 65537\left(2^{32}+1\right)+1$$

Immultiplika 21845 u 65537 biex tikseb 1431655765.

$$1431655765\left(2^{32}+1\right)+1$$

Ikkalkula 2 bil-power ta' 32 u tikseb 4294967296.

$$1431655765\left(4294967296+1\right)+1$$

Żid 4294967296 u 1 biex tikseb 4294967297.

$$1431655765\times 4294967297+1$$

Immultiplika 1431655765 u 4294967297 biex tikseb 6148914691236517205.

$$6148914691236517205+1$$

Żid 6148914691236517205 u 1 biex tikseb 6148914691236517206.

$$6148914691236517206$$

Fattur

$$2\times 3^{2}\times 19\times 43\times 5419\times 77158673929$$