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marked as duplicate by D.H. Jan 8 '13 at 19:16

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According to my blockchain dump there are 10'876'856 transactions with at least 1 confirmation as of block 21'5753. That is excluding double spends and memorypool not yet confirmed.

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You can chek this and other statistics in: http://blockchain.info/

With the available data, the simplest way is taking the number of blocks: http://blockchain.info/q/getblockcount and the average number of transactions per block: http://blockchain.info/q/avgtxnumber and multiply them. As I'm writing I get 215749*238=51348262 transactions.

The daily number of transactions is also online: http://blockchain.info/charts/n-transactions?showDataPoints=true&timespan=&show_header=true&daysAverageString=1&scale=0&address=

You could write some code to count the transactions directly from you local copy of the blockchain, but if you want a fast figure the links I've written are enough.

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