Sunday, January 2, 2011

What´s in a Number

Forty-one is the 13th smallest prime number. The next is forty-three, with which it comprises a twin prime. It is also the sum of the first six prime numbers (2 + 3 + 5 + 7 + 11 + 13), and the sum of three primes (11 + 13 + 17).

Forty-one is also the 12th supersingular prime, a Sophie Germain prime and a Newman–Shanks–Williams prime. 41 is the smallest Sophie Germain prime to start a Cunningham chain of the first kind of three terms, {41, 83, 167}. It is an Eisenstein prime, with no imaginary part and real part of the form 3n − 1. 41 is a Proth prime as it is  5 × 23 + 1.

The number figures in the polynomial f(n) = n2 + n + 41, which yields primes for −40 ≤ n < 40.

Forty-one is the sum of two squares, 42 + 52. Adding up the sums of divisors for 1 through 7 yields 41.
41 is the smallest integer whose reciprocal has a 5-digit repetend. That is a consequence of the fact that 41 is a factor of 99999.

It is a centered square number.

January 3rd was/is the birthday of the following distinguished, celebrated or notorious people
06 BC – Cicero, Roman statesman and philosopher (d. 43 BC)
1892 – J. R. R. Tolkien, British writer (d. 1973)
1894 – ZaSu Pitts, American actress (d. 1963)
1909 – Victor Borge, Danish entertainer (d. 2000)
1916 – Maxene Andrews, American singer (The Andrews Sisters) (d. 1995)
1921 – John Russell, American actor (d. 1991)
1926 – George Martin, British record producer
1929 – Sergio Leone, Italian director (d. 1989)
1939 – Bobby Hull, Canadian hockey player
1942 – John Marsden, Australian lawyer, gay activist (d. 2006)
1943 – Jarl Alfredius, Swedish news anchor (d. 2009)
1950 – Victoria Principal, American actress
1954 – Dean Hart, Canadian wrestler (d. 1990)
1956 – Mel Gibson, American-Australian actor and director
1963 – Vic Grimes, American professional wrestler
1969 – Michael Schumacher, German seven-time world champion Formula 1 race driver
1970 – The man behind the SecondLifeavatar Bock McMillan, blogger and a great guy 
1976 – Angelos Basinas, Greek footballer
1977 – A.J. Burnett, American baseball player
1977 – Michelle Stephenson, British singer (Spice Girls)
1980 – Bryan Clay, American decathlete

Events that occured on January 3rd 
1431 – Joan of Arc is handed over to the Bishop Pierre Cauchon.
1496 – Leonardo da Vinci unsuccessfully tests a flying machine.
1521 – Pope Leo X excommunicates Martin Luther in the papal bull Decet Romanum Pontificem.
1777 – American general George Washington defeats British general Charles Cornwallis at the Battle of Princeton.
1888 – The refracting telescope at the Lick Observatory, measuring 91 cm in diameter, is used for the first time. It was the largest telescope in the world at the time.
1924 – British explorer Howard Carter discovers the sarcophagus of Tutankhamen in the Valley of the Kings, near Luxor, Egypt.
1925 – Benito Mussolini announces he is taking dictatorial powers over Italy.
1932 – Martial law is declared in Honduras to stop revolt by banana workers fired by United Fruit.
1947 – Proceedings of the U.S. Congress are televised for the first time.
1961 – The United States severs diplomatic relations with Cuba.
1961 – The SL-1, a government-run reactor near Idaho Falls, Idaho, leaks radiation, killing three workers.
1962 – Pope John XXIII excommunicates Fidel Castro.
1970 – The man behind the avatar Bock McMillan is born 
1977 – Apple Computer is incorporated.
1988 – Margaret Thatcher becomes the longest-serving British Prime Minister in the 20th Century.
1990 – Former leader of Panama Manuel Noriega surrenders to American forces.
1994 – More than seven million people from the former Apartheid Homelands, receives citizenship.South African
1997 – The People's Republic of China announces it will spend $27.7 billion USD to fight erosion and pollution in the Yangtze and Yellow river valleys.
1999 – The Mars Polar Lander is launched.

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