123 days to go
Part III: Just go to bed, Dave!
I re-fixed the timestamp. This is mostly a test to see if it worked.
Here's some info on the prime number 313:
One of Donald Duck's auto license plate numbers in the comics. [Haga]
313 (base 10) = 100111001 (base 2). The only 3-digit palindromic prime with this property. Note that 100111001 (base 10) is a prime as well! [Larsen]
The largest known prime that divides a Unitary Perfect number.
The Russian cosmonaut Sergei Krikalev spent exactly 313 days in space aboard the Mir Space Station.
The smallest multi-digit palindromic prime of the form n x phi(n) + 1, where phi(n) is the Euler function. [Russo]
Islam's first battle (The Battle of Badr) against the pagans of Mecca was fought by 313 Muslims, and won. [Daniyal]
Frenicle challenged Wallis to solve x2 - 313y2 = 1. [Beiler]
Elizabeth Haich's book Initiation analyzes the significance of 313 in ancient Egyptology.
313 = 122 + 132. [De Geest]
If 313 people (or ducks for that matter) are chosen at random, then the probability that at least 5 of them will share the same birthday is greater than 50%.
Wood's History of Alameda County, California, published in the decade around the first U.S. centennial, includes 313 men and not one woman! [Haga]
The smallest Weakly prime in base 5. [Duisenberg & Dionne]
313 x 285672 + 1 is prime. [Melo & Gallot]
In Shi'ism, it is believed that "Imam Mehdi" (the ultimate savior of the believers) will appear when there are 313 true and sincere Shia followers in the world. [Daniyal]
313 is the smallest number to appear exactly 3 times in itself factorial (313!). [ten Voorde]
10313 + 313 is prime. [Broadhurst & Titanix]
The Mayan ruin Coba near Tulum in the Yucatan peninsula contains a pyramid that is surrounded by 313 large stones with hieroglyphs. [Haid]
In the movie Somewhere In Time, Christopher Reeve checks into Room 313 of the Grand Hotel. [Haga]
The only 3-digit palindromic prime which is not the sum of consecutive composite numbers. [Russo]
(2^3+1)/3, (2^31+1)/3, (2^13+1)/3, and (2^313+1)/3 are prime. [Aggarwal]
The smallest Happy number which is a multi-digit palindromic prime. [Gupta]
1/313 produces a string of decimals that repeat it self after 312 (one less than itself) decimals. Only 5 of the 3-digit palidromic primes have this ability. [Vatshelle]
313, 313 - 2, 313 - 2*3, 313 - 2*3*5 & 313 - 2*3*5*7 are all prime numbers. [Rivera]
Hope all this works.
dave
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