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Reused nonce k across different private keys – possible mathematical link?
by
peakyclin77
on 23/04/2025, 01:26:43 UTC
Hey everyone,

I came across a weird case while digging into some old addresses that reused the same nonce k (same R value in the signature), but across different private keys. Original thread here: https://bitcointalk.org/index.php?topic=5535021.0

The setup:
Three addresses (let’s call them A, B, and C) all sent funds to the same destination at the exact same second.

I have the private keys for A and C — not B.

Here’s what’s interesting:
The private keys of A and C have a GCD of 63.
I found other key pairs with GCDs of 18, 27, etc.

My question:
Could this GCD link help reduce entropy or even lead to the missing key (B)?

Thanks in advance!