# rsa_small


when i opened the zip file i had two files : output.txt , beezy.py

so when i saw sourc code (beezy.py) e is small so we can perform an attack

```python

from gmpy2 import iroot
from Crypto.Util.number import long_to_bytes
e = 5
n = 848679985797447869399955772819127213061137842373015804903762494359645720791040778076619433302674004347484565791581642609473387655735195295365279289016435642019259985990645911733119485800890708230053795033609181332000447274578889940499411197562111094428807949016438566888871179849827432797743465183571439731186111884712225698892368979349739206606593045379047207591044512475303068095583610049728424692564119172882065602439029603348602584135304945650000715210121217415159672068653299460404758884228046013042562965080049653891004083434176688089444298777532346069082024899343877834584938045202455200048186554846026727297621240451214798525048971378675972260019196481887830771437670138972634154814409503426355185620129053316128528423087492174694811793403655971666568345076618727967344075031994286240815344178567441153634038071947827327700917234091487142266390015552941979817722214984014258022713900663398969526301690250025575483527895147735655625252139228855555368584244676794350771701435632552963431752523714399310405951557242368697834717565197145134464156785931396734151509020243119926355165138086318689699700337185418254990682421255569532070095700384447469238825430018975257552596722400439696783949509883005145800952113577752688735953731
c = 1290693983568973212241774157251029501916031181300587856502104425060400825645233474412159795041070912725774295993070287999705559436744356587070331473154201672194895706660927805733716209570278752107616017153539788802992400477319421895132265308353914269512736230439032250634773967478099458568504291012797867556104874614937296951446237815056114697267646832399584346738180717835541698802244926455470361437886629916832531228754210088056426885624615069977138458285217304667225248399707130072871824121756788726012791836940206537928157363946715031682108412776344952206447795443691414126211540976228231813721934019177491660030885807301520689365508821556490894213716812362105926718336768325044896559692102465835491500325292511210492266786815154645636848969136539759596476855914079053513055397814403086420614976446006354782596760766518849838306525291408721775119110961750623361977018207968

for i in range(100000):
rot , itrue = iroot((n*i)+c , e )
if itrue :
print(long_to_bytes(rot))

```
the flag is : OFPPT-CTF{Sm4ll_3xp0n3nts_1n_RS4_4re_n0t_s3cur3}

Original writeup (https://github.com/diko-ct/write-ups/tree/main/Ofppt-ctf/rsa_small).