Totient and Factoring - Applied Cryptography

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Hi,
Thank you for your share :).
I`m not 100% sure, but I think you have typo:
p = 11
q = 23
p+q = 34
n = 253
\varphi(n) = 220
n-\varphi(n)-1 = 253-220-1 =33-1=32
n-\varphi(n)+1 = 253-220+1 =33+1=34=p+q

kevinhenkes