Was Martin Luther a Rosicrucian?

The rose together with the cross is the sign of the Rosicrucian Order as seen below: enter image description hereenter image description here

 

The cross symbolizes Christianity and the rose often symbolizes secrecy (Sub Rosa). Martin Luther’s seal is also the rose and cross united (but differently)

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It would be difficult to imagine that Martin Luther was not aware of the Rosicrucians and even more difficult that his seal would happen by chance. Therefore is there a link between the Rosicrucian Order and the Protestant Reformation?