Although Chebyshev's paper did not prove the Prime Number Theorem, his estimates for π ( x ) were strong enough for him to prove Bertrand's postulate that there exists a prime number between n and 2n for any integer n ≥ 2.

Although Haley's " Shake, Rattle and Roll " never achieved the same level of historical importance as " Rock Around the Clock ", it actually predated it as the first major international rock and roll hit, although it did not attain the Number 1 position in the American charts, but became his first gold record.

Although they are all financial threats to Scrooge in one way or another, they each have different motives: Magica wants Scrooge's Number One Dime to complete her magic spell, which will enable her to take over the world ; Glomgold wants to replace Scrooge as the " Richest duck in the world "; and the Beagle Boys want to rob Scrooge of his fortune.

Although none of the singles managed to chart, the album still reached Number 3 on the Billboard 200 but only sold 150, 000 units, making this the lowest selling album of his career.

Although an earlier scene showing brief and distant full-frontal nudity appeared in the debut episode of Matlock Police in February 1971 while in Number 96 in late 1976 a bit-part nurse fleeing Dudley's bedroom had revealed a full frontal nude flash, this was the first time the nudity was shown front and centre in protracted scenes.

Although not the only possible method, the majority of implementations of EMV cards and terminals confirm the identity of the cardholder by requiring the entry of a PIN ( Personal Identification Number ) rather than signing a paper receipt.

Although the album didn't spawn any further hits, " Paint by Number Heart " did get some airplay on Canadian radio.

Although today this national identification number is used by the Social Security and is present on each person's social security card ( carte Vitale ), it was originally created under Vichy France under the guise of the Inscription Number to the National Repertory of Identification of People ( Numéro d ' inscription au répertoire national d ' identification des personnes, NIR ).

Although not shown on-screen, it is implied that Number One briefly takes command of the Enterprise when Captain Pike and his landing party first beam down to Talos IV.

Although Captain James T. Kirk never referred on-screen to his executive officer Mr. Spock as " Number One ", this is not really an anomaly ; the British usage dates from a time when the " First Lieutenant " or number one on board ship was so ranked by seniority of his commission, and later by date of appointment by the captain.

Although no Star Trek comic books are considered canon, the series Early Voyages fleshed out the characters and story from " The Cage ", including Number One.

Although the Republic of Croatia continued to use the JMBG after the independence in 2002 the official name of the number there was changed to Matični broj građana ( Master Citizen Number ), acronym MBG Advocates of the right to privacy argued that JMBG was a piece of personally identifiable information that needed to be protected by information privacy law, mostly because it was unique and it included the person's date of birth.

Although " Stuff ", its first single, barely made Top 40, the album's title track went on to become a Number One single.

Although not a character, the animated Pinball Number Count segments were also dubbed and used in the show regularly, and the melody is well recognized amongst Norwegians who have watched the show, despite most of them not having seen Sesame Street.

Although the vision of Number Six manipulates Baltar through his fear of discovery, she lends him an edge by granting him knowledge of situations.

Although a line of dialogue in " Many Happy Returns " has a character speculating that the Village is on an island, this is never confirmed in the series, and in fact all given locations ( save for that in " Fall Out ") should be considered unreliable evidence given the fact they are mentioned as part of a deception aimed at getting Number Six to reveal why he resigned from his secret British government job.

Although various members of the community in the Village hold down jobs or even own businesses, most, including Number Six appear to be unemployed, and yet can afford a quite comfortable lifestyle, suggesting some form of allowance system of work units to Prisoners.

Although a class act in his youth, in 2007 he was voted in at Number 2 in The Times poll of the " 50 Worst footballers ( to grace the Premier League )", reflecting his dismal downturn in form after he signed for the English club Leeds United in 1995.

Although eventually released as a Beatles song, " You Know My Name ( Look Up the Number )" was nearly released as the A-side of a Plastic Ono Band single.

Although " Flying the Flag ( for You )" didn't attract major European attention, the song reached Number 5 in the UK Singles Chart on 13 May 2007, making it the highest charting UK Eurovision entrant since Katrina and the Waves in 1997 and equalling the group's highest charting song, " More Than I Needed To Know ".

Although none of its singles went to Number One, the album accounted for consecutive No. 2s in " Baby I'm Yours " and its title track.

Although most of his debut solo album was recorded at his farm in Scotland, McCartney recorded " Maybe I'm Amazed " entirely in EMI's Number Two studio in Abbey Road in London, where he was mixing " Every Night ".

Although there are 10 mm in 1 cm, there are 100 mm < sup > 2 </ sup > in 1 cm < sup > 2 </ sup >.

Although most of the legions were lost, about 10, 000 Romans cut their way through to safety, maintaining unit cohesion.

Although this produced a mode 7 that barely impacted upon CPU performance and gave the same visual quality as the BBC Micro, it remained compatible only with software that used the ROM routines for outputting text and graphics and still used 10 kB of memory for the display.

Although the SDP was seen as being largely a breakaway from the right wing of the Labour Party, an internal party survey found that 60 % of its members had not belonged to a political party before, with 25 % being drawn from Labour, 10 % from the Conservatives and 5 % from the Liberals.

Although many assume that the biblical Mark the Cousin of Barnabas ( Colossians 4: 10 ) is the same as John Mark ( Acts 12: 12, 25 ; 13: 5, 13 ; 15: 37 ) and Mark the Evangelist, the traditionally believed author of the Gospel of Mark, according to Hippolytus of Rome, the three " Mark " s are distinct persons.

Although the nation's rail network links seven of the country's 10 major cities, very little of it has been used regularly because of security concerns, lack of maintenance, and the power of the road transport union.

Although most cranberries are wet-picked as described above, 5 – 10 % of the US crop is still dry-picked.

Although its use has been mainly associated within the high-vacuum range ( down to 10 < sup >− 9 </ sup > mbar ), diffusion pumps today can produce pressures approaching 10 < sup >− 10 </ sup > mbar when properly used with modern fluids and accessories.

Although in 2001 GDP grew by 10. 2 percent, this increase came on the heels of 2000, when, as a consequence of war with Ethiopia, GDP contracted by a staggering 13. 2 percent.

Although the Bombers were competitive during the first quarter, the Crows dominated from that point on, winning 26. 10 ( 166 ) to 10. 10 ( 70 ), handing the Bombers their worst finals defeat and ending their 2009 campaign.

Although heavily outnumbered by Portuguese troops ( approximately 30, 000 Portuguese to some 10, 000 guerrillas ), the PAIGe had the great advantage of safe havens over the border in Senegal and Guinea, both recently independent of French rule.

Although the Graphics Control Extension block declares color index 16 ( hexadecimal 10 ) to be transparent, that index is not used in the image.

Although in 1899 Standard Oil controlled more than 85 % of the oil production in the older oil regions in the Appalachian Basin and the Lima-Indiana trend, it never controlled more than 10 % of the oil production in the new Gulf Coast province.

Although a new electoral law was passed that respected the principle of universal ( male ) suffrage, the stricter residential requirement of the new law actually had the effect of disenfranchising 3, 000, 000 of 10, 000, 000 voters.

( Found once in Psalm 51: 11 and twice in Isaiah 63: 10, 11 ) Although, the term " spirit " in the Hebrew Scriptures, in reference to " God's spirit ", does occur more times.

Although helium-3 was found to be about 10, 000 times rarer than helium-4 in the helium from the gas wells, its significant presence in underground gas deposits implied that either it did not decay, or else it had a very long half-life-billions of years.

Although size distinctions were taken account of, any grouping of men on a mission could collectively be called an impi, whether a raiding party of 100 or horde of 10, 000.

Although there is no obvious restriction that any given regular polygon cannot be a face of a Johnson solid, it turns out that the faces of Johnson solids always have 3, 4, 5, 6, 8, or 10 sides.

Although the prefix kilo-means 1000, the term kilobyte and symbol kB have historically been used to refer to either 1024 ( 2 < sup > 10 </ sup >) bytes or 1000 ( 10 < sup > 3 </ sup >) bytes, dependent upon context, in the fields of computer science and information technology.

Although the foreign minister Talleyrand opposed the plan, on April 10, 1803, Napoleon told the Treasury Minister François de Barbé-Marbois that he was considering selling the entire Louisiana Territory to the United States.