NumberADay
Friday, October 29, 2010

262

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262 = 2 x 131. It is the product of two distinct Sophie Germain primes . 262 is a meandric number : the number of ways a river can cross a ...
Thursday, October 28, 2010

55

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55 = 5 x 11. 55 is the tenth Fibonacci number . 55 is the tenth triangular number . 55 is a pyramidal number , the sum of the first five sq...
Wednesday, October 27, 2010

140

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140 = 2 2 x 5 x 7. 140 has a unique representation as a sum of three squares: 140 = 2 2 + 6 2 + 10 2 . 140 is a square pyramidal number ....
Tuesday, October 26, 2010

434

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434 = 2 x 7 x 31. 434 is a palindrome that produces a composed prime: 4 2 + 3 7 + 4 31 = 4611686018427390107, a prime. 434 is the smalles...
Monday, October 25, 2010

859

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859 is a prime number. 857 and 859 form a twin prime pair. 859 is the largest prime that cannot be the central number in a 3-by-3 magic squa...
Friday, October 22, 2010

217

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217 = 7 x 31. 217 is the ninth centered hexagonal (hex) number . 47 and 89 are primes, as is their concatenation: 4789. Inserting 0 betwee...
Thursday, October 21, 2010

64

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64 = 2 6 . 64 is the first number after 1 to be both a square and a cube: 64 = 8 2 = 4 3 . 64 is the number of integer partitions of 20 int...
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Wednesday, October 20, 2010

522

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522 = 2 x 3 2 x 29. 522 has a representation as a sum of two squares: 522 = 9 2 + 21 2 . 522 is the sum of six consecutive primes: 522 =...
Tuesday, October 19, 2010

703

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703 = 19 x 37. 703 is the 37th triangular number . It is also a hexagonal number . 703 is a number that cannot be written as a sum of three ...
1 comment:
Monday, October 18, 2010

422

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422 = 2 x 211. 422 is 222 in base 14. It is 646 in base 8. 422 is the maximum number of regions into which 21 circles divide the plane. 422...
Friday, October 15, 2010

100

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100 = 2 2 x 5 2 . 100 has a representation as a sum of two squares: 100 = 6 2 + 8 2 . 100 is the sum of the first four cubes: 100 = 1 3 +...
Thursday, October 14, 2010

1316

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1316 = 2 2 x 7 x 47. 1316 = 6 4 + 20. 1316 is 2444 in base 8. 1316 is a number divisible by the sum of the squares of its digits: 1 2 + 3...
Wednesday, October 13, 2010

167

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167 is a prime number. 167 cannot be written as a sum of three squares. 167 is the smallest number whose fourth power begins with four iden...
Tuesday, October 12, 2010

842

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842 = 2 x 421. 842 has a representation as a sum of two squares: 842 = 1 2 + 29 2 . 842 is a semiprime sandwiched between semiprimes: 841 =...
Friday, October 8, 2010

474

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474 = 2 x 3 x 79. 474 is a nonagonal number . 474 is a member of the Fibonacci-like sequence starting with 1 and 8: 1, 8, 9, 17, 26, 43, 69,...
Thursday, October 7, 2010

820

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820 = 2 2 x 5 x 41. 820 has two representations as a sum of two squares: 820 = 6 2 + 28 2 = 12 2 + 26 2 . 820 is the 40th triangular num...
Wednesday, October 6, 2010

215

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215 = 5 x 43. 215 is a number that cannot be written as a sum of three squares. 215 is 3113 in base 4 and 555 in base 6. 215 3 = 9,938,375 ...
Tuesday, October 5, 2010

158

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158 = 2 x 79. 158 is the maximum number of regions into which 13 circles divide the plane. 158 is the smallest number such that the sum of t...
Monday, October 4, 2010

891

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891 = 3 4 x 11. 891 is an octahedral number . 891 is the smallest number that is the reversal of the sum of its proper substrings: 8 + 9 +...
Friday, October 1, 2010

69

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69 = 3 x 23. 69 = 9 + 10 + 11 + 12 + 13 + 14. 69 is the only number whose square and cube together use all the digits from 0 to 9: 69 2 = ...
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