Library / Mathematics / The 32nd Mersenne Prime / Braille
The 32nd Mersenne Prime ⠃⠗⠋ braille edition
Grade 2 — contracted English braille (EBAE-compatible subset). Translated on this server by our own braille engine (BRF — Braille Ready Format, Library of Congress fdd000551). View Grade 1 instead.
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241,939 braille cells · 365 embossed pages at 40×25 · 4 unrepresentable characters omitted
⠼⠛⠛⠁⠃⠊⠛⠉⠁⠑⠙⠛⠛⠚⠑⠓⠉⠉⠃⠃⠙⠋⠑⠚⠁⠋⠋⠓⠃⠛⠓⠚⠉⠚⠙⠋⠁⠊⠉⠉ ⠚⠛⠋⠛⠉⠚⠛⠛⠙⠉⠛⠀⠀ ⠼⠙⠓⠙⠊⠃⠃⠉⠚⠛⠉⠓⠋⠑⠁⠃⠓⠊⠚⠃⠙⠃⠉⠉⠁⠛⠊⠛⠚⠉⠁⠋⠉⠊⠉⠚⠚⠃⠚⠙ ⠑⠁⠓⠁⠑⠃⠙⠙⠛⠛⠉⠀⠀ ⠼⠁⠚⠙⠛⠛⠋⠚⠓⠚⠁⠋⠊⠑⠊⠁⠚⠋⠛⠙⠑⠋⠙⠃⠛⠊⠙⠚⠑⠁⠉⠑⠃⠚⠚⠛⠃⠑⠚⠁ ⠊⠊⠋⠑⠃⠉⠊⠑⠛⠚⠋⠀⠀ ⠼⠉⠋⠁⠊⠙⠁⠉⠛⠊⠋⠙⠋⠃⠓⠙⠙⠛⠚⠉⠚⠓⠑⠁⠃⠃⠓⠓⠚⠓⠙⠁⠉⠑⠉⠛⠓⠙⠋⠊ ⠙⠃⠑⠛⠑⠃⠋⠚⠛⠑⠊⠀⠀ ⠼⠃⠉⠁⠙⠓⠊⠛⠃⠚⠚⠓⠊⠚⠁⠛⠋⠉⠊⠊⠃⠑⠙⠃⠚⠚⠚⠛⠊⠚⠊⠋⠃⠓⠙⠙⠉⠉⠛⠋ ⠓⠃⠊⠋⠉⠙⠁⠊⠑⠊⠓⠀⠀ ⠼⠊⠃⠉⠋⠉⠃⠓⠃⠙⠃⠃⠋⠊⠋⠉⠋⠊⠁⠑⠚⠋⠊⠙⠃⠉⠚⠙⠊⠓⠊⠉⠑⠑⠑⠉⠉⠙⠋⠃ ⠑⠊⠓⠙⠊⠚⠑⠋⠃⠑⠉⠀⠀ ⠼⠚⠙⠋⠚⠃⠚⠚⠑⠋⠙⠚⠚⠊⠊⠁⠁⠙⠉⠋⠉⠚⠋⠑⠑⠑⠚⠃⠊⠑⠚⠉⠑⠊⠊⠚⠚⠊⠑⠚ ⠉⠁⠛⠊⠁⠙⠛⠊⠉⠓⠑⠀⠀ ⠼⠛⠓⠛⠋⠑⠑⠑⠓⠛⠃⠁⠉⠓⠓⠑⠙⠚⠙⠙⠑⠛⠁⠙⠑⠉⠊⠑⠛⠓⠊⠉⠛⠃⠁⠑⠓⠋⠉⠊ ⠙⠉⠊⠚⠉⠁⠋⠛⠚⠉⠓⠀⠀ ⠼⠁⠙⠉⠉⠃⠊⠑⠉⠃⠁⠙⠃⠊⠚⠙⠉⠓⠛⠋⠙⠉⠛⠛⠃⠚⠛⠚⠁⠛⠛⠊⠓⠛⠓⠚⠁⠙⠋⠁ ⠊⠛⠚⠑⠙⠉⠉⠉⠉⠚⠊⠀⠀ ⠼⠛⠉⠙⠋⠃⠛⠁⠃⠁⠑⠙⠃⠃⠉⠁⠋⠁⠑⠙⠋⠁⠉⠃⠙⠊⠊⠊⠛⠙⠙⠉⠋⠉⠋⠓⠛⠙⠓⠋ ⠙⠚⠋⠙⠑⠊⠉⠁⠊⠓⠛⠀⠀ ⠼⠙⠚⠚⠁⠙⠑⠓⠉⠁⠊⠉⠙⠁⠁⠚⠃⠛⠙⠁⠁⠓⠋⠓⠊⠓⠉⠊⠑⠙⠑⠊⠙⠛⠃⠓⠓⠑⠙⠁ ⠋⠊⠑⠚⠋⠃⠉⠙⠙⠃⠚⠀⠀ ⠼⠑⠑⠛⠉⠑⠉⠚⠓⠉⠑⠋⠛⠉⠑⠊⠉⠉⠁⠙⠙⠋⠑⠃⠃⠛⠙⠉⠋⠋⠙⠊⠙⠁⠚⠓⠋⠛⠙⠁ ⠋⠃⠓⠚⠑⠙⠓⠓⠃⠙⠑⠀⠀ ⠼⠑⠁⠛⠓⠃⠁⠃⠑⠚⠃⠃⠉⠃⠛⠑⠚⠉⠛⠋⠃⠚⠙⠛⠓⠊⠙⠓⠃⠚⠓⠓⠓⠛⠓⠙⠓⠓⠋⠊
These are the same pages the .brf download embosses — form-feed breaks and all. BRF opens in braille software (Duxbury, BrailleBlaster), on embossers, and on refreshable displays.