Ooo-la-la

We are provided prompt.txt, the contents of which read

Plain text

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N = 3349683240683303752040100187123245076775802838668125325785318315004398778586538866210198083573169673444543518654385038484177110828274648967185831623610409867689938609495858551308025785883804091
e = 65537
c = 87760575554266991015431110922576261532159376718765701749513766666239189012106797683148334771446801021047078003121816710825033894805743112580942399985961509685534309879621205633997976721084983

Seems like usual RSA, lets see if we can factor N over alpetron

Which almost instantly factors the N using Elliptic Curve Method

Knowing the factors or phi, rest of the job is easy

Python

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from gmpy2 import invert
p = 1830213987675567884451892843232991595746198390911664175679946063194531096037459873211879206428207
q = 1830213987675567884451892843232991595746198390911664175679946063194531096037459873211879206428213

N = 3349683240683303752040100187123245076775802838668125325785318315004398778586538866210198083573169673444543518654385038484177110828274648967185831623610409867689938609495858551308025785883804091
e = 65537
c = 87760575554266991015431110922576261532159376718765701749513766666239189012106797683148334771446801021047078003121816710825033894805743112580942399985961509685534309879621205633997976721084983

d = invert(e, (p-1)*(q-1))

pt = pow(c,d,N)
print(bytes.fromhex(hex(pt)[2:]).decode())

flag{ooo_la_la_those_are_sexy_primes}