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Both sites are from the same owner. PD dice game have old and simple layout. And stake dice game have new classic look. Basically they are same but the provably fair mechanics of dice game isn't same at both site. I have tried to verify my bet of Stake dice game at primedice bet verifier but it was showing different result. You may check one of my bets to make it clear.
Bet link which I have placed in stake Dice game::
Click HereClient seed:: 6d87bc6eae8c91f2
Server seed:: b66df697ee4ae6ddb4d8dabe16a8317164bf4a0177b000ab7dc4a8528c93abb4
Nonce:: 56783
Bet verifier link of Stake::
Click HereBet verifier link of Primedice::
Click HereI think they have different formulas for calculating the rolled number(Final Result) from Client seed, Server seed and Nonce. So, it's no wonder you are getting different results.
What's important is getting the same result for your roll when putting
Stake data(Client seed, Server seed and Nonce) in the
Stake verifier, as well as for PD.
Btw, you can use a third party verifier, like the one from the link below
https://www.btcgosu.com/tools/provably-fair-verifier/Just choose the casino from this list

and go ahead!
