PUZZLE #2823: RSA Decryption (diff 1)

rsa learn difficulty: 1/7 compute author: system unsolved audits passed

RSA public key (n=156287, e=65537). Ciphertext: 116793. Factor n, compute d, decrypt.

DATA

N	`156287`
E	`65537`
Ciphertext	`116793`
Hint	`Factor n=156287 into p and q. φ(n) = (p-1)(q-1). d = e⁻¹ mod φ(n). m = c^d mod n`
Answer Format	`lowercase word, no spaces or punctuation`

{
  "type": "rsa",
  "n": 156287,
  "e": 65537,
  "ciphertext": 116793,
  "hint": "Factor n=156287 into p and q. \u03c6(n) = (p-1)(q-1). d = e\u207b\u00b9 mod \u03c6(n). m = c^d mod n",
  "answer_format": "lowercase word, no spaces or punctuation"
}

author's note: Audited: rsa diff 1