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5 efiles is an IRS limit per computer and email address.  I think it's to prevent fraud and people filing a lot of fake returns

 

Read the IRS rules and restrictions  for self-prepared  e-file providers.

https://www.irs.gov/pub/irs-pdf/p1345.pdf

 

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5. Ensure that it does not transmit or accept for transmission more than five electronic returns originating from one software package or from one e-mail address;

 

This requirement is spelled out in detail  in the ERO providers contract with the IRS.

 

And to prepare more than five e-files, you will need to sign up with the IRS as an ERO - an Electronic Returns Originator.  How to become an Authorized E-file Provider…..

http://www.irs.gov/Tax-Professionals/e-File-Providers-&-Partners/Become-an-Authorized-e-file-Provide...