northanger (northanger) wrote,
northanger
northanger

Asteroid #11111 Repunit

repunit - number consisting of two or more identical integers

AQ = 166 = REPUNIT = CHAPERONE = CONTRACT = HAIL SATAN = MIND GAMES = OMEGA FOLK = OUR LORD = THIRD EYE = WEST-JAY = INSOMNIA = INSPIRED = MADE SENSE = SORCERY = SPELLING = ADAM'S BRIDE = CHAROCITH = COVENANT = DARMA YOGA = EPIPHANY = GNANA YOGA = ISCARIOT = LODE STAR = MERCURY = MINERVAL = PAROKETH = REGULUS = SORCERY = TANTRIKA = TENTH HEAD = THE JUST = THE STELE = THE VALUE

REPUNIT [SKAT] (WSW :: 18Pi39 :: SACRAL CHAKRA {Svadisthana}) 257º FROM YILDUN @ PATH 20: INTELLIGENCE of WILL–The TWENTIETH (23) Path from Hod to Geburah = ATU IX THE HERMIT = VIRGO = YOD :: EON PHASE: 26 (Phase Arc 252º ~ Tri-Decile) : Redemption, Distortions, Test of Capacity, Self-Liberating.

I lose myself in wonder at the beauty and the intricacy in which the numbers depend on each other, in secret. On the surface one would never imagine this closed circuit of intrigue. In the Mandala of nine, the digits have life-long partnerships, number ONE with EIGHT, TWO with SEVEN, THREE with SIX, FOUR with FIVE. Each pairing has an identical shape - when its multiplication sequence is plotted on the sigma circle, one is the reverse of the other. [THE MAGIC MOUNTAIN: NUMBER 9, The Search for the Sigma Code, Cecil Balmond]

Repunit - The term repunit, for a number made up of all unit digits, was created by Albert Beiler in the 1960's as a contraction of repeated unit. It still does not appear in most dictionaries, and is therefore difficult to trace... [Math Words (really good)]

1031 is the length of the largest repunit that is known to be prime. [What's Special About This Number?]

111 is the only triplet that can ever be prime; The smallest magic square using only prime numbers (and 1) has a magic constant of 111; A six-by-six magic square using the numbers 1 through 36 also has a magic constant of 111; Reciprocals with the maximum decimal period -- the number of digits before looping beggins -- are always reciprocals of prime numbers. The converse is not true, however: prime reciprocals do not always have maximum period, and in base ten only nine greater than 1/100 do: 1/7, 1/17, 1/19, 1/23, 1/29, 1/47, 1/59, 1/61 and 1/97. Only one of these has an additional property sometimes found in maximum-period prime reciprocals, which is that of being able to form a perfect magic square. 1/19 has this property {table} The magic constant for this square is 81, which can be derived from the formula (0 + 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9) / 10 x 18[7], or 9 x 18 / 2. 666 = 9 x 148 / 2, and 148+1 or 149 is a prime number whose reciprocal has maximum period. [222 DIVINE]

11. The 5th prime. The smallest repunit, a number whose digits are all units. 11, like all repunits, is divisible by the product of its digits. [The Penguin Dictionary of Curious and Interesting Numbers, David Wells]

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