Library / Mathematics / The 32nd Mersenne Prime / Braille
The 32nd Mersenne Prime ⠃⠗⠋ braille edition
Grade 1 — uncontracted, letter-for-letter. Translated on this server by our own braille engine (BRF — Braille Ready Format, Library of Congress fdd000551). View Grade 2 instead.
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241,990 braille cells · 366 embossed pages at 40×25 · 4 unrepresentable characters omitted
⠼⠁⠙⠁⠋⠓⠉⠙⠁⠛⠉⠃⠉⠉⠁⠓⠉⠃⠋⠁⠑⠊⠋⠑⠁⠛⠁⠋⠋⠃⠑⠋⠙⠁⠙⠋⠋⠉⠊⠃ ⠑⠉⠛⠁⠉⠑⠁⠃⠑⠙⠚⠀⠀ ⠼⠁⠓⠑⠉⠉⠓⠓⠙⠙⠓⠙⠙⠁⠋⠉⠑⠙⠋⠑⠛⠙⠋⠓⠙⠙⠓⠑⠊⠑⠓⠊⠁⠚⠁⠁⠓⠛⠋⠃ ⠃⠉⠚⠉⠑⠛⠉⠚⠓⠓⠛⠀⠀ ⠼⠙⠑⠓⠙⠚⠋⠊⠓⠛⠉⠙⠑⠑⠑⠃⠑⠁⠋⠊⠃⠊⠊⠋⠊⠊⠋⠑⠋⠉⠃⠃⠉⠋⠊⠚⠓⠃⠃⠚ ⠚⠃⠓⠚⠚⠓⠃⠚⠉⠓⠛⠀⠀ ⠼⠁⠛⠛⠙⠊⠓⠃⠋⠓⠚⠛⠊⠃⠋⠛⠁⠙⠉⠚⠊⠚⠋⠚⠛⠃⠑⠉⠛⠙⠃⠊⠛⠓⠙⠋⠛⠊⠛⠊ ⠃⠃⠑⠚⠊⠃⠋⠋⠁⠊⠊⠀⠀ ⠼⠊⠋⠑⠙⠋⠃⠃⠛⠓⠁⠃⠙⠛⠁⠑⠃⠉⠊⠊⠙⠁⠛⠛⠚⠓⠚⠋⠑⠛⠑⠙⠉⠓⠚⠚⠙⠚⠃⠙ ⠑⠓⠓⠓⠉⠑⠙⠉⠃⠙⠉⠀⠀ ⠼⠊⠃⠊⠉⠙⠋⠃⠁⠑⠛⠁⠛⠛⠋⠚⠁⠁⠛⠃⠋⠃⠉⠊⠃⠁⠛⠉⠛⠋⠉⠚⠚⠛⠊⠙⠁⠛⠙⠉ ⠙⠃⠓⠑⠊⠓⠋⠛⠉⠓⠁⠀⠀ ⠼⠉⠚⠁⠓⠑⠉⠑⠛⠑⠊⠃⠓⠑⠙⠋⠋⠊⠊⠓⠉⠓⠑⠋⠉⠃⠉⠑⠁⠊⠓⠁⠁⠃⠙⠙⠊⠑⠚⠃ ⠃⠑⠓⠁⠛⠊⠙⠊⠑⠑⠉⠀⠀ ⠼⠛⠊⠚⠋⠁⠓⠑⠋⠓⠁⠓⠚⠊⠙⠊⠙⠁⠊⠑⠁⠙⠓⠊⠊⠓⠓⠋⠁⠉⠉⠙⠉⠛⠓⠁⠛⠙⠑⠁ ⠚⠙⠓⠁⠓⠊⠉⠚⠋⠉⠁⠀⠀ ⠼⠛⠑⠁⠃⠛⠛⠛⠛⠁⠉⠉⠓⠙⠋⠁⠊⠉⠚⠋⠛⠃⠉⠛⠛⠚⠃⠙⠃⠊⠋⠃⠁⠊⠋⠛⠚⠉⠉⠊ ⠙⠛⠃⠋⠚⠃⠊⠊⠚⠁⠑⠀⠀ ⠼⠉⠚⠛⠓⠓⠋⠋⠛⠉⠚⠁⠚⠙⠑⠉⠛⠓⠃⠁⠛⠚⠓⠓⠊⠙⠛⠊⠉⠓⠚⠉⠃⠛⠚⠓⠊⠙⠙⠁ ⠁⠋⠊⠋⠑⠚⠉⠃⠙⠛⠙⠀⠀ ⠼⠃⠊⠑⠚⠛⠙⠃⠑⠉⠛⠋⠑⠃⠁⠋⠚⠃⠊⠛⠚⠃⠑⠙⠋⠛⠋⠁⠑⠋⠊⠛⠃⠓⠉⠛⠛⠊⠉⠊ ⠙⠊⠉⠊⠋⠉⠁⠙⠁⠉⠛⠀⠀ ⠼⠉⠊⠊⠛⠉⠃⠉⠛⠊⠋⠚⠉⠑⠁⠊⠛⠓⠚⠊⠊⠑⠋⠚⠛⠓⠋⠃⠙⠃⠙⠁⠉⠚⠁⠛⠓⠙⠁⠁ ⠓⠛⠙⠛⠓⠙⠋⠃⠛⠑⠛⠀⠀ ⠼⠋⠚⠙⠚⠁⠚⠑⠁⠙⠓⠃⠁⠁⠛⠓⠑⠓⠓⠉⠋⠙⠋⠉⠑⠚⠁⠑⠃⠊⠋⠑⠓⠋⠉⠚⠁⠃⠃⠃
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