No. The federal registration symbol, the R in a circle (®), is for use only on trademarks registered with the USPTO, not for pending applications. The use the ® to provide notice to others of your legal rights in a federally protected trademark once your mark is accepted for registration. If you would like to provide informal notice of your claim to trademark rights in a particular name, you may use a superscript TM in connection with your mark while pending registration.
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