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Chinese checkers board has 121 holes.

A star number is a centered figurate number that represents a centered hexagram (six-pointed star), such as the one that Chinese checkers is played on.

1 13 37

The nth star number is given by the formula Sn = 6n(n − 1) + 1. The first 43 star numbers are

1, 13, 37, 73, 121, 181, 253, 337, 433, 541, 661, 793, 937, 1093, 1261, 1441, 1633, 1837, 2053, 2281, 2521, 2773, 3037, 3313, 3601, 3901, 4213, 4537, 4873, 5221, 5581, 5953, 6337, 6733, 7141, 7561, 7993, 8437, 8893, 9361, 9841, 10333, 10837 (sequence A003154 in OEIS).

The digital root of a star number is always 1 or 4, and progresses in the sequence 1, 4, 1. The last two digits of a star number in base 10 are always 01, 13, 21, 33, 37, 41, 53, 61, 73, 81, or 93.

Unique among the star numbers is 35113, since its prime factors (i.e. 13, 37 and 73) are also consecutive star numbers.

## Relationships to other kinds of numbers

Geometrically, the nth star number is made up of a central point and 12 copies of the (n−1)th triangular number — making it numerically equal to the nth centered dodecagonal number, but differently arranged.

Infinitely many star numbers are also triangular numbers, the first four being S1 = 1 = T1, S7 = 253 = T22, S91 = 49141 = T313, and S1261 = 9533161 = T4366 (sequence A156712 in OEIS).

Infinitely many star numbers are also square numbers, the first four being S1 = 12, S5 = 121 = 112, S45 = 11881 = 1092, and S441 = 1164241 = 10792 (sequence A054318 in OEIS).

A star prime is a star number that is prime. The first few star primes (sequence A083577 in OEIS) are 13, 37, 73, 181, 337, 433, 541, 661, 937.

The term "star number" or "stellate number" is occasionally used to refer to octagonal numbers.[citation needed]

## Applications

The number of the original states of the United States, 13, is a star number. This is used in the design of the Great Seal of the United States, the obverse of which features a six-pointed star formed by an arrangement of 13 smaller stars.

Original courtesy of Wikipedia: http://en.wikipedia.org/wiki/Star_number — Please support Wikipedia.
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 ACC Football Commitment Lists: Atlantic Division, May 23 ACCSports.com Thu, 23 May 2013 11:59:31 -0700 Defensive back Cameron Glenn continues to be the only commitment for Wake Forest. Check out the updated lists and player rankings below. Key: • ^ The first star number is from Rivals.com. The second one is from Scout.com. NOTE: High school juniors ... Potter turns to dumped Marshall Sportal.com.au Wed, 22 May 2013 23:07:36 -0700 The Tigers boss conceded his relationship with Marshall did take a hit after his shock demotion against South Sydney but said there's no way he wanted to lose his star number six. "There's no risk about wanting him at the club ... we want him at the ... Gulf Times Vodafone launches new BlackBerry smartphone Gulf Times Wed, 15 May 2013 13:17:32 -0700 The offer for postpaid customers includes free 15GB data/month for three months, up to QR3,000 off on a Vodafone 'Star Number' and a free SIM for new customers. For prepaid customers, Vodafone is offering free 6GB data, valid for 90 days and a free SIM ... Panthers tennis season comes to an end with second round loss to Howard Americus Times-Recorder Wed, 08 May 2013 08:28:36 -0700 Americus-Sumter's 2013 season saw a Region 1-AAAA runnerup trophy, along with a first round GHSA state playoff victory. The 2014 Panthers will return everyone from their 2013 starting lineup with the exception of star number one singles player Joel ... Niall Horan Uses One Direction Break To Reminisce About Band's Ever-Growing ... Entertainmentwise Wed, 15 May 2013 12:48:38 -0700 According to Unreality TV the blonde babe, who rarely has any Twitter outbursts being a nice smiley kind of guy, was upset at the volume of abuse hurtling it's way down the phone line, after his security guard allegedly posted the star's number online ... Police Week: St. Charles Cops Honor Retirees Patch.com Wed, 15 May 2013 03:59:22 -0700 The reception showcased a plaque commissioned to honor their prior service to the city and Police Department, with each retired officer getting a unique emblem on the plaque showing their star number and years of service. The department plans to hang ... St. Charles celebrates National Police Week Kane County Chronicle Mon, 13 May 2013 12:35:14 -0700 Each retired officer has an emblem on the plaque showing star number and years of service. Also for National Police Week, blue ribbons are available at the city of St. Charles' reception desk, 2 E. Main St., St. Charles, for those who would like to tie ... World Lottery News Euromillions Quadruple Jackpot Estimated at €50 / £42 Million - World Lottery ... World Lottery News Tue, 14 May 2013 05:43:30 -0700 Tonight's quadruple rollover jackpot comes as players have failed to match the five main numbers plus two Lucky Star number combination drawn since the final Euromillions draw of April. There were four jackpot winners last month but, to date, May is ...
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