Numeros Primos e Divisibilidade Estudo hellip

❯♥✐✈❡rs✐❞❛❞❡ ❊st❛❞✉❛❧ P❛✉❧✐st❛ ✏❏ú❧✐♦ ❞❡ ▼❡sq✉✐t❛ ❋✐❧❤♦✑
■♥st✐t✉t♦ ❞❡ ●❡♦❝✐ê♥❝✐❛s ❡ ❈✐ê♥❝✐❛s ❊①❛t❛s
❈❛♠♣✉s ❞❡ ❘✐♦ ❈❧❛r♦

◆ú♠❡r♦s Pr✐♠♦s ❡ ❉✐✈✐s✐❜✐❧✐❞❛❞❡✿ ❊st✉❞♦ ❞❡
Pr♦♣r✐❡❞❛❞❡s

❈r✐st✐♥❛ ❍❡❧❡♥❛ ❇♦✈♦ ❇❛t✐st❛ ❉✐❛s

❉✐ss❡rt❛çã♦ ❛♣r❡s❡♥t❛❞❛ ❛♦ Pr♦❣r❛♠❛ ❞❡ Pós✲
●r❛❞✉❛çã♦ ✕ ▼❡str❛❞♦ Pr♦✜ss✐♦♥❛❧ ❡♠ ▼❛t❡✲
♠át✐❝❛ ❡♠ ❘❡❞❡ ◆❛❝✐♦♥❛❧ ✭P❘❖❋▼❆❚✮ ❝♦♠♦ r❡q✉✐s✐t♦ ♣❛r❝✐❛❧ ♣❛r❛ ❛ ♦❜t❡♥çã♦ ❞♦ ❣r❛✉ ❞❡
▼❡str❡

❖r✐❡♥t❛❞♦r❛

Pr♦❢❛✳

❉r❛✳ ❊❧✐r✐s ❈r✐st✐♥❛ ❘✐③③✐♦❧❧✐

✷✵✶✸

✺✶✷✳✼
❉✺✹✶♥

❉✐❛s✱ ❈r✐st✐♥❛ ❍❡❧❡♥❛ ❇♦✈♦ ❇❛t✐st❛
◆ú♠❡r♦s Pr✐♠♦s ❡ ❉✐✈✐s✐❜✐❧✐❞❛❞❡✿ ❊st✉❞♦ ❞❡ Pr♦♣r✐❡❞❛❞❡s✴ ❈r✐s✲ t✐♥❛ ❍❡❧❡♥❛ ❇♦✈♦ ❇❛t✐st❛ ❉✐❛s✳ ✲ ❘✐♦ ❈❧❛r♦✿ ❬s✳♥✳❪✱ ✷✵✶✸✳
✹✾ ❢✳✿ t❛❜✳
❉✐ss❡rt❛çã♦ ✭♠❡str❛❞♦✮ ✲ ❯♥✐✈❡rs✐❞❛❞❡ ❊st❛❞✉❛❧ P❛✉❧✐st❛✱ ■♥st✐✲ t✉t♦ ❞❡ ●❡♦❝✐ê♥❝✐❛s ❡ ❈✐ê♥❝✐❛s ❊①❛t❛s✳
❖r✐❡♥t❛❞♦r❛✿ ❊❧✐r✐s ❈r✐st✐♥❛ ❘✐③③✐♦❧❧✐
✶✳ ❚❡♦r✐❛ ❞♦s ◆ú♠❡r♦s✳ ✷✳ ❈♦♥❥❡t✉r❛ ❞❡ ●♦❧❞❜❛❝❤✳ ✸✳ ◆ú♠❡r♦s
■♥t❡✐r♦s✳ ✹✳ ❋❛t♦r✐❛✐s✳ ■✳ ❚ít✉❧♦

❋✐❝❤❛ ❈❛t❛❧♦❣rá✜❝❛ ❡❧❛❜♦r❛❞❛ ♣❡❧❛ ❙❚❆❚■ ✲ ❇✐❜❧✐♦t❡❝❛ ❞❛ ❯◆❊❙P
❈❛♠♣✉s ❞❡ ❘✐♦ ❈❧❛r♦✴❙P

❚❊❘▼❖ ❉❊ ❆P❘❖❱❆➬➹❖
❈r✐st✐♥❛ ❍❡❧❡♥❛ ❇♦✈♦ ❇❛t✐st❛ ❉✐❛s
◆ú♠❡r♦s Pr✐♠♦s ❡ ❉✐✈✐s✐❜✐❧✐❞❛❞❡✿ ❊st✉❞♦ ❞❡ Pr♦♣r✐❡❞❛❞❡s

❉✐ss❡rt❛çã♦ ❛♣r♦✈❛❞❛ ❝♦♠♦ r❡q✉✐s✐t♦ ♣❛r❝✐❛❧ ♣❛r❛ ❛ ♦❜t❡♥çã♦ ❞♦ ❣r❛✉ ❞❡
▼❡str❡ ♥♦ ❈✉rs♦ ❞❡ Pós✲●r❛❞✉❛çã♦ ▼❡str❛❞♦ Pr♦✜ss✐♦♥❛❧ ❡♠ ▼❛t❡♠át✐❝❛
❡♠ ❘❡❞❡ ◆❛❝✐♦♥❛❧ ✭P❘❖❋▼❆❚✮✱ ♣❡❧❛ s❡❣✉✐♥t❡ ❜❛♥❝❛ ❡①❛♠✐♥❛❞♦r❛✿

Pr♦❢❛✳ ❉r❛✳ ❊❧✐r✐s ❈r✐st✐♥❛ ❘✐③③✐♦❧❧✐
❖r✐❡♥t❛❞♦r❛

Pr♦❢✳ ❉r✳ ❆❧❞✐❝✐♦ ❏♦sé ▼✐r❛♥❞❛
❉♣t♦✳ ▼❛t❡♠át✐❝❛ ❯◆■❋❆▲✲❆❧❢❡♥❛s✴▼●

Pr♦❢✳ ❉r✳ ❚❤✐❛❣♦ ❞❡ ▼❡❧♦
❉♣t♦✳ ▼❛t❡♠át✐❝❛ ❯◆❊❙P✲❘✐♦ ❈❧❛r♦✴❙P

❘✐♦ ❈❧❛r♦✱ ✷✽ ❞❡ ❥❛♥❡✐r♦ ❞❡ ✷✵✶✸

❆♦ ♠❡✉ ❉❡✉s✱ ❏❡♦✈á✱ ❛♦s ♠❡✉s ♣❛✐s✱
❛♦ ♠❡✉ q✉❡r✐❞♦ ❡s♣♦s♦ ❡ ❛♦s ♠❡✉s ✜❧❤♦s✱ à ♠✐♥❤❛ ♠ã❡ ❡ ✐r♠ã♦s

❆❣r❛❞❡❝✐♠❡♥t♦s
Pr✐♠❡✐r❛♠❡♥t❡✱ ❛❣r❛❞❡ç♦ ❛ ❉❡✉s ♣❡❧❛ ✈✐❞❛✳ ❆ s❡❣✉✐r✱ à ♠✐♥❤❛ ♦r✐❡♥t❛❞♦r❛✱ ❊❧✐r✐s✱
❛♦s ♠❡♠❜r♦s ❞❛ ❜❛♥❝❛ ❡✱ ❞❡ ♠♦❞♦ ❣❡r❛❧✱ ❛ t♦❞♦s ♦s ❞♦❝❡♥t❡s ❡ ❢✉♥❝✐♦♥ár✐♦s ❞♦ ❉❡✲
♣❛rt❛♠❡♥t♦ ❞❡ ▼❛t❡♠át✐❝❛ ❞♦ ■●❈❊✱ ❘✐♦ ❈❧❛r♦✱ ♣♦r s✉❛ ✈❛❧✐♦s❛ ❝♦❧❛❜♦r❛çã♦ ❡ ❛♣♦✐♦✱ s❡♠ ♦s q✉❛✐s ❡st❡ tr❛❜❛❧❤♦ ♥ã♦ t❡r✐❛ s✐❞♦ r❡❛❧✐③❛❞♦✳

❊♠ ❡s♣❡❝✐❛❧✱ ❛❣r❛❞❡ç♦ ❛♦ Pr♦❢✳

❉r✳ ❍❡♥r✐q✉❡ ▲❛③❛r✐ ❡ ❛♦ Pr♦❢✳ ❉r✳ ❘ô♠✉❧♦ ❈❛♠♣♦s ▲✐♥s✱ ♣♦r s✉❛ ❛❥✉❞❛ ♥❛